The inequality equation that shows that Ella has nn nickels and dd dimes. and the worth of the coins is at most $1 altogether is
dd + nn ≤ $1How to find the equation as requiredThe equation to represent the information is written bearing in mind that
10 dimes = 1 dollar = 20 nickels
2 nickels = 1 dime
let the dimes be d and the nickels be n
dd + nn ≤ $1
The term at most means not more than hence the worth of the sum of the coins will be 1$ or less.
we therefore use less than or equal to to represent the equation,
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The situation of Ella's amount in nickels and dimes altogether as an inequality is (5nn + 10dd) ≤ 100.
How to write Ella's nickels and dimes as an inequalityWe shall multiply each number of coins with their value in cents and express them as an inequality less than or greater than 100cents which is the equivalent to $1.
a nickel = 5 cents
a dime = 10 cents
Ella will have;
nn nickels = 5nn cents
dd dimes = 10dd cents
and;
5nn cents + 10dd cents ≤ 100 cents
(5nn + 10dd) cents ≤ 100 cents
divide through by the unit cents, we have;
(5nn + 10dd) ≤ 100.
Therefore, Ella's amount in nickels and dimes can be written as an inequality (5nn + 10dd) ≤ 100 if she has at most $1 worth of coins altogether.
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teams , , , and are in the playoffs. in the semifinal matches, plays , and plays . the winners of those two matches will play each other in the final match to determine the champion. when plays , the probability that wins is , and the outcomes of all the matches are independent. the probability that will be the champion is , where and are relatively prime positive integers. find .
The probability that T4 wins is 781.
There are two scenarios in which T4 wins.
The first scenario is where T4 beats T1,73 beats T2, and T4 beats T3, and the second scenario is where T4 beats T1, T2 beats T3, and T4 beats T2.
Considering the first scenario:
The probability of T4 beating t1 is 4/(4+1).
The probability T3 beats T2 is 3/(3+2).
The probability T4 beats T3 is 4/(4+3).
Therefore the first scenario happens with probability 4/(4+1)*3/(3+2)* 4/(4+3)
Considering the second scenario:
The probability of T4 beating t1 is 4/(1+4).
The probability T2 beats T3 is 2/(2+3).
The probability T4 beats T2 is 4/(4+2).
Therefore the second scenario happens with probability 4/(1+4)*2/(2+3)* 4/(4+2)
By summing these two probabilities, the probability that T4 wins is 4/(4+1)*3/(3+2)* 4/(4+3) + 4/(1+4)*2/(2+3)* 4/(4+2) which is equal to 256+525 = 781.
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According to the given sample space the probability that T4 wins is 403/105
Here we have given that there are two scenarios in which T4 wins.
And the first scenario is represents that T4 beats T1, T3 beats T2, and T4 beats T3, then the second scenario is where T4 beats T1, T2 beats T3, and T4 beats T2.
While we considering the first scenario, then we have identified that
T4 beating T1 = 4/5
T3 beats T2 = 3/5.
T4 beats T3 = 4/7.
Then the Probability of first scenario is written as,
=> 4/5 + 3/5 + 4/7
=> 7/5 + 4/7
=> 69/35
Now, we have to take the second scenario, then the probability is written as
T4 beating t1 = 4/5.
T2 beats T3 = 2/5.
T4 beats T2 = 4/6.
Then the probability of the second scenario is calculated as,
=> 4/5 + 2/5 + 4/6
=> 6/5 + 4/6
=> 56/30
When we summing these two probabilities, then the probability that T4 wins is calculated as,
=> 69/35 + 56/30
=> 403/105
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Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180degree about the origin, resulting in figure A. She states that R S U T is congruent to Z Y W X. Which best describes the accuracy of her congruency statement?
On a coordinate plane, figure A with points Z Y W X has points (1, 2), (4, 1), (3, 4), (0, 4). Figure R S U T has points (1, negative 2), (4, negative 1), (3, negative 4), (0, negative 4).
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.
Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
Inaccurate. The correct congruency statement is R S U T is congruent to Z X W Y.
Inaccurate. The correct congruency statement is R S U T is congruent to X W Y X.
A statement which best describes the accuracy of her congruency statement include the following: B: Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
What is a reflection?In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
Generally speaking, reflections and dilations are types of transformation that preserve angle measure. Additionally, reflection can be used to preserve the direction the vertices (coordinates) that are traced around a geometric figure.
On the other hand (conversely), rotation is a type of transformation that changes the direction of a geometric figure. Therefore, rotating this reflected figure 180 degree about the origin (0, 0) would change the direction of its points.
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Answer:
B
Step-by-step explanation:
2 planes left an airport at 10:30 am.one travelled due south at an average speed of 400km and the second travelled due east at an average speed 300km per hour .how far apart when the two planes at 2:30 pm
Therefore , the solution of the given problem of speed comes out to be average speed of the aeroplane = 200 km/h.
What is speed ?An object's velocity, as opposed to its speed, describes how quickly it goes in both directions. Velocity in physics is the rate of movement in a specific direction. A car's speed is described when we say it goes at 60 km/h.
Here,
Speed of the aeroplane for 400 km = = (400/2) = 200 km/h (due north)
Speed of the aeroplane = 300 km/h (due east)
Speed is a scalar quantity. So no direction is needed. Just for question, direction is given here, for understanding purpose.
Average speed of the aeroplane = (200 + 300)/2
= 250 km/h
Therefore , the solution of the given problem of speed comes out to be average speed of the aeroplane = 200 km/h.
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Answer:
2000km
Step-by-step explanation:
To find the distance between the two planes at 2:30 pm, we need to determine the positions of each plane at that time.
Since the first plane traveled due south at an average speed of 400 km/h for 4 hours (from 10:30 am to 2:30 pm), it would have covered a distance of 400 km/h * 4 h = 1600 km due south.
Similarly, the second plane traveled due east at an average speed of 300 km/h for 4 hours, covering a distance of 300 km/h * 4 h = 1200 km due east.
To find the distance between the two planes, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the distance between the two planes represents the hypotenuse of a right triangle, with the southward distance traveled by the first plane as one side and the eastward distance traveled by the second plane as the other side.
Using the Pythagorean theorem:
Distance^2 = (1600 km)^2 + (1200 km)^2
Distance^2 = 2,560,000 km^2 + 1,440,000 km^2
Distance^2 = 4,000,000 km^2
Taking the square root of both sides to find the distance:
Distance = √4,000,000 km^2
Distance ≈ 2000 km
Therefore, the two planes are approximately 2000 km apart at 2:30 pm.
please help algebra homework help asap now
Answer:
B
Step-by-step explanation:
$7 for a child X and $13 for a adult Y
In the problem 7,21 = 3.605, what is the divisor?
A. 2
B. 7.21
C. the fraction bar
D. 3.605
Answer:
A.2
Step-by-step explanation:
because 7.21 is twice the number 3.605
Please help me i really dont understand what to do
The solution of the two simultaneous equations given in the graph is; (-6, -3)
How to find the solution to simultaneous equation graph?We are given the simultaneous equations as;
y = ³/₂x + 6 ------(1)
y = -¹/₂ - 6 -----(2)
Now, the solution of this 2 simultaneous equations would be the coordinate of the point on the graph where the two graphs meet each other.
Let us first solve the equations by elimination method;
Subtract eq 2 from eq 1 to get;
0 = 2x + 12
Subtract 12 from both sides to get;
2x = -12
x = -12/2
x = -6
Put -6 for x in eq 1 to get;
y = ³/₂(-6) + 6
y = -3
The solution is (-6, -3)
Looking at the intersection point on the graph, we can tell that the point is (-6, -3)
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Enter the next three numbers of the repeating decimal produced by the fraction 5/6.
0.833333...
The next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...
What is recurring and non recurring digits?After a decimal point, recurring decimal numbers are ones that consistently repeat the same value. They are also known as Repeating Decimals. Non-recurring numbers in mathematics are those whose values don't repeat themselves after a decimal point. Non-terminating decimals and non-Repeating Decimal Numbers are other names for them.
When 5 is divided by 6 we get a recurring number.
Hence, the next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...
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Find the measures of X and Y.
Answer:
m∠X = m∠Y = 100.5°--------------------------------------
Sum of interior angles of a 6-sided polygon is:
180°(6 - 2) = 180°*4 = 720°Both angles ∠X and ∠Y marked as same, let them be x and ∠W is marked as right angle.
The sum is:
2x + 90 + 99 + 171 + 159 = 7202x + 519 = 7202x = 201x = 100.5m∠X = m∠Y = 100.5°.
Answer:
m∠X = 100.5°
m∠Y = 100.5°
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3cm}\underline{Sum of the interior angles of a polygon}\\\\$S=(n-2) \times 180^{\circ}$\\\\where:\\ \phantom{ww}$\bullet$ $n$ is the number of sides. \\ \end{minipage}}[/tex]
The given polygon has 6 sides.
Therefore, the sum of its interior angles is:
[tex]\implies S = (6 - 2) \times 180^{\circ} = 720^{\circ}[/tex]
From inspection of the given polygon:
m∠V = 99°m∠Z = 171°m∠U = 159°m∠W = 90°m∠X = m∠YTherefore:
[tex]\implies m \angle U + m \angle V + m \angle W + m \angle X + m \angle Y + m \angle Z = 720^{\circ}[/tex]
[tex]\implies 159^{\circ} + 99^{\circ} + 90^{\circ} + m \angle X + m∠ \angle Y + 171^{\circ} = 720^{\circ}[/tex]
[tex]\implies m \angle X + m \angle Y + 519^{\circ} = 720^{\circ}[/tex]
[tex]\implies m \angle X + m \angle Y = 201^{\circ}[/tex]
As m∠X is equal to m∠Y:
[tex]\implies m \angle X = m \angle Y = 201^{\circ} \div 2 = 100.5^{\circ}[/tex]
Two identical buildings are being constructed by two teams composed of identically skilled workers. The first team has 16 workers and works on the first building, and the second team has 25 workers and works on the second building. They start at the same time, and, after some time has elapsed, 8 workers move from the second team to the first team to help them. Both teams finish their construction at the same time. Find the ratio of the time spent working by the teams after the team change to the time spent working by the original teams as a irreducible fraction p/q . What is p + q?
The answer to this equation using the rule of three is 68.
What is rule of three?Let the time taken by the first team to finish the building be T. Since the teams are identical, the time taken by the second team to finish the building would also be T.
After 8 workers move from the second team to the first team, the first team has 16 + 8 = 24 workers and the second team has 25 - 8 = 17 workers.
Let the time taken by the first team after the worker change be T1 and the time taken by the second team after the worker change be T2.
Since both teams finish the construction at the same time, we can say that T1 = T2.
By the rule of three, we know that T/16 = T1/24 and T/25 = T2/17.
Cross multiplying and equating we get, 16T = 24T1 and 25T = 17T2.
So T1 = (24/16)T = 3/2T and T2 = (25/17)T.
The ratio of the time spent working by the teams after the worker change to the time spent working by the original teams is (3/2T + (25/17)T) / T = (3/2 + 25/17) = (317 + 252)/(2*17) = 51/17.
Therefore, p + q = 51 + 17 = 68.
What is rule of three?The rule of three is a method used to solve problems involving proportionality. It involves expressing the proportion between two values in terms of a third value. It is a mathematical rule used to find the fourth value when three of the values are known. It's also known as proportionality rule, cross-multiplication rule, and inverse proportionality. The rule of three is a simple way to find the value of an unknown quantity in a proportion. The rule of three is used when three of the four values are known and the fourth is unknown.
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Allison and Aubrey shopped together for art class supplies. Allison bought 3 charcoal pencils and 2 brushes for $17.18. Aubrey purchased the same types of items, but she bought 2 charcoal pencils and 5 brushes for $26.56.
What is the cost of one charcoal pencil ?
Using a system of equations, the unit cost of a charcoal pencil is $3.16.
What is a system of equations?A system of equations involves two or more equations, also known as simultaneous equations, which are solved concurrently or simultaneously.
The cost of one charcoal pencil is the quotient of the total cost of a charcoal pencil divided by the number.
In this situation, after eliminating brushes, we can determine that the total cost of 5.5 charcoal pencils is $17.39. After the division operation, the unit cost is computed to be $3.16.
Allison Aubrey
Charcoal pencils 3 2
Brushes 2 5
Total costs $17.18 $26.56
Let charcoal pencils = c and brushes = b
3c + 2b = 17.18 ... Equation 1
2c + 5b = 25.56 ... Equation 2
Multiply Equation 1 by 2.5:
7.5c + 5b = 42.95 ... Equation 3
Subtract Equation 2 from Equation 3:
7.5c + 5b = 42.95
-
2c + 5b = 25.56
= 5.5c = 17.39
c = 3.16
Thus, after solving the simultaneous equations, we can determine that the cost of one charcoal pencil is $3.16.
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Given the following graph, Identify its key features listed below: (USE ESTIMATION)
Y-intercepts
How the graph behaves
End behavior
Possible values of variables
Domain and range
Minimum and maximum values
(BONUS POINTS FOR BEST ANSWER)
The y-intercept of the graph is (0, 10)
The end behaviour is: as x ⇒ +20, y ⇒ 0 and As x ⇒ -∝, y ⇒ +∝The possible values are (0, 10) and (-50, 15)Domain: x < 20 and Range: y > 0The function minimum is (20, 0)How to determine the y-interceptsThis is the point where the graph crosses the y-axis
So, the y-intercept is (0, 10)
How the graph behaves (end behaviour)To do this, we check the values of x in relation to the values of y
From the graph, we can see that the values of y reduces as the values of x increases to 20
This means that the end behaviour is
As x ⇒ +20, y ⇒ 0 and As x ⇒ -∝, y ⇒ +∝
Possible values of variablesTo do this, we again check the values of x in relation to the values of y
From the graph, we can see that the values of y when x = 0 is 10 and also, we have x = -50 and y = 15
So, the possible values are (0, 10) and (-50, 15)
The domain and the rangeHere, we make use of the end behaviours
So, we have
Domain: x < 20Range: y > 0Minimum and maximum valuesThe function has no maximum, but it has a minimum at (20, 0)
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i need help on question 20. ill give brainliest
The translation is done to the right 5 units and up two units.
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that vertices of ΔABC are A(2, 1), B(4, 4) and C(4, 1).
And vertices of ΔDEF are D(7, 3), E(9, 6) and F(9, 3).
Translation towards left or right changes the x coordinate and translation towards up or down changes the y coordinate.
Translation toward right and up results in positive translation and towards left and down results in negative translation.
A(2, 1) becomes D(7, 3) when D(2 + 5, 1 + 2).
Similarly,
B(4, 4) becomes E(9, 6) when E(4 + 5, 4 + 2)
C(4, 1) becomes F(9, 3) when F(4 + 5, 1 + 2)
So the translation is 5 units right and 2 units up.
Hence the translation is 5 units right and 2 units up.
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There were 850 bags of oranges that needed to be delivered to grocery stores. There were 34 stores to deliver the groceries to. How many bags of oranges did each store receive?
A. 24 bags
B. 25 bags
C. 26 bags
D. 28 bags
Answer:
25 bags
Step-by-step explanation:
850 divided by 34 is 25
Answer:25
Step-by-step explanation:
the foloowing data gives the number pf childern in 50 families.s construct a discrete frequency tabe
In the given following data gives the number of children in 50 families.
The discrete frequency table is
As number of children is 0 the frequency is 6
As number of children is 1 the frequency is 13
As number of children is 2 the frequency is 14
As number of children is 3 the frequency is 7
As number of children is 4 the frequency is 6
As number of children is 5 the frequency is 2
As number of children is 6 the frequency is 2
What is frequency ?
frequency states that the number of times the certain value got repeated is called as frequency.
No. of children Frequency
0 6
1 13
2 14
3 7
4 6
5 2
6 2
Hence , it is the required discrete frequency table.
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Hola necesito ayuda por favor .
Answer:
B) 25%
Step-by-step explanation:
Hay un sitio llamado Calculador de descuentos que es de donde obtuve mi respuesta.
(There is a site called Discount Calculator which is where I got my answer from.)
A church window is built in the shape of a semicircle. If the window is to contain three stained glass section of equal size, what is the area of each stained glass section if the length of the diameter is 90cm?
The required area of each stained glass section is 1060.71 square centimeters.
Area of a semicircle.
A semicircle is a part of a circle, gotten from the division of a circle into two equal halves. So that halve of a circle is a semicircle. The area of a semicircle can be determined as;
Area of a semicircle = 1/2 [tex]\pi[/tex] r^2
where r is the radius of the circle.
In the given question, we have;
diameter of the church's window = 90 cm
So that its radius is;
r = 90/ 2
= 45
r = 45 cm
Area of the church's window = 1/2 [tex]\pi[/tex] r^2
= 1/2 * 22/7 * 45^2
= 3182.143
Area of the church's window is 3182.143 square centimeters
Thus, since the semicircle would be divided into three equal parts;
Area of each stained glass section = 3182.143/ 3
= 1060.71 square centimeters
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CONSTRUCTION Every 128 fluid ounces of
stain covers about 200 square feet of wood.
About how many fluid ounces of stain
does a homeowner need to stain the beam
shown? (Assume the back of the beam does
not need to be stained.)
Don’t look at 17 nor the pink rectangle pls!! HELPP :(
Answer:
6.08 fluid ounces
Step-by-step explanation:
You want the amount of stain required to cover the surface area of the ends and three sides of a beam 6" square and 6 ft long. 128 floz of stain will cover 200 square feet.
End areaThe two ends of the beam are 1/2 ft square, so the area of each is ...
A = s² = (1/2 ft)² = 1/4 ft²
The two ends have a total area of ...
2 × (1/4 ft²) = 1/2 ft² . . . . end area
Side areaThree of the four sides of the beam are to be stained, so their total area is the area of 3 rectangles, each of which is 1/2 ft by 6 ft.
The area of each rectangle is ...
A = LW
So, the area of the three rectangles is ...
total side area = 3 × (1/2 ft)(6 ft) = 9 ft²
Beam areaThen the area to be stained is the sum of the end area and the side area:
stained area = (1/2 ft²) +(9 ft²) = 9.5 ft²
Stain quantityThe amount of stain required is proportional to the area, so we can write the proportion ...
q/(9.5 ft²) = (128 floz)/(200 ft²)
Multiplying by 9.5 ft² gives ...
q = (128 floz)(9.5/200) = 6.08 floz
The homeowner needs 6.08 fluid ounces of stain to stain the beam.
Calculations:
The relationship between the slopes
of the parallel sides is...
The relationship between the lengths of
the non-parallel sides is...
The relationship between the slopes of the parallel sides is equal.
The relationship between the lengths of the non-parallel sides is equal.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The parallel sides are DG and EF.
The non-parallel sides are DE and GF.
The slope of DG.
Two points pass through by DG.
(-2, 2) and (1, 2)
Slope = (2 - 2) / (1 + 2) = 0/3 = 0
The slope of EF.
Two points pass through by EF.
(-4, -3) and (3, -3)
Slope = (-3 + 3) / (3 + 4) = 0 / 7 = 0
The length of DE.
D = (-2, 2)
E = (-4, -3)
Length of DE = √(-4 + 2)² + (-3 - 2)² = √(4 + 25) = √29
The length of GF.
G = (1, 2)
F = (3, -3)
Length of GF = √(3 - 1)² + (-3 - 2)² = √(4 + 25) = √29
Thus,
The slope of the parallel sides is equal.
The length of the non-parallel sides is equal.
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1. A pie chart shows how a man spends his weekly salary of $1500. % is spent on food, 3/10 on utilities, and the balance on rent, how much money did he spend in rent?
The amount spends on rent is $750.
What is a pie chart?In order to show mathematical issues, the "pie chart," often referred to as a "circle chart," divides the circular statistical visual into sectors or portions. A proportionate amount of the entire is indicated by each sector. The Pie-chart is now the most effective method for determining the composition of something. Pie charts typically take the role of other graphs, such as bar graphs, line plots, histograms, etc.
Given a pie chart shows,
spent on food = 20% of salary = 1/5 of salary
spent on utilities = 3/10 of salary
and rest on rent let be x
salary = $1500
so 1500 = spent on food + spent on utilities + spent on rent
1/5 of 1500 + 3/10 of 1500 + x = 1500
1/5 of 1500 = $300
3/10 of 1500 = $450
300 + 450 + x = 1500
x = $750
Hence the amount spent on rent is $750.
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The missing term in question is 20% spent on food.
Lesson 28:
11. Kenny is ordering uniforms for both the girls's and boys' tennis clubs. He is ordering
shirts for 53 players and 2 coaches at a total cost of $856.35. Additionally, he is ordering
visors for each player at a total cost of $395.91. How much will each player pay for the
shirt and visor?
Answer: your welcome (:
Step-by-step explanation:
There are
45
total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by
45
, to see how much each individual person pays:
SHIRT:
658.35
45
=
$
14.63
per person
VISOR:
368.51
45
=
$
8.19
per person
Each person is buying a shirt and a visor, so combine these two prices:
14.63
+
8.19
=
$
22.82
per person.
What’s the correct answer answer asap for brainlist
Answer:
B
Step-by-step explanation:
personally it feels like the best fit
Rashid thought about all the bills that his family needed to pay and wondered what the function would be if the situation changed so that on day 0, they owed $10 and then added a dollar a day.
Write the explicit equation and graph the function that models this situation.
Answer:
y = -x - 10
Step-by-step explanation:
set y as the total money owed
set x as how many days passed
if 0 days are passed, they owed $10, which is "-10" the y-intercept
and owed $1 more everyday which is -1x. We can write it as -x.
Colton has already earned $45 mowing lawns. He earns $15 per lawn. He needs at least $125 for a new string trimmer. Write and solve an inequality to determine how many more lawns Colton will need to mow to have at least $125.
Answer:
125 = (15x) + 45
(Sorry if I'm wrong!)
cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape
Please Give Answer Fast
The number of millimeters in each glass is 200ml.
How to illustrate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.
It is important to note that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
Since Cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. The amount in each will be:
= (2l - 400ml )/8
= (2000 - 400) / 8
= 1600 / 8
= 200ml
Therefore, based on the calculation, there'll be 200 millimeters on each glass.
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Complete question
cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. How many ml will each contain?
can someone help me in this question please and thank you!
Two angles and a side of a triangle are equal in these two triangles thus these triangles are congruent.
What is the right-angle triangle?Angles in a right triangle are easily calculated. A right triangle has a right angle, often known as a 90 angle. The angle sum formula, which asserts that the sum of the angles in a triangle is always equal to 180 degrees, can be used to quickly determine the missing angle given one other angle of the triangle is known.
Given, two triangles in the figure. Where we can see that one side of that triangle is the same that is 4. and one angle is 90 degrees in both triangles and one angle is the same as shown in the figure.
Thus we can say that one side and two angles of the given triangle are equal.
Since Triangles are said to be congruent if two of one triangle's angles and one of its sides are equal to those of another triangle. This indicates that we are given a triangle's two given angles as well as one side that is not the side next to the two supplied angles. Such a triangle can be resolved by utilizing the Law of Sines to determine each of the other two sides and the Angles of a Triangle to determine the other angle.
Therefore, These two triangles are congruent because they have two equal angles and one equal side.
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A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home. Square Feet and Cleaning Time Number of Square Feet, x 50 80 100 150 Time in Minutes, y 20 32 40 60 Based on the table, how many minutes would it take for the service to clean 200 square feet? 20 minutes 80 minutes 125 minutes 400 minutesA home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home. Square Feet and Cleaning Time Number of Square Feet, x 50 80 100 150 Time in Minutes, y 20 32 40 60 Based on the table, how many minutes would it take for the service to clean 200 square feet? 20 minutes 80 minutes 125 minutes 400 minutes
Based on the table and average minute per square foot, it would take B. 80 minutes for the home cleaning service to clean 200 square feet.
What is the average?The average is the mean, which is the constant rate of change.
The average is computed as the quotient of a numerator divided by a denominator.
Square Feet and Cleaning Time
Number of Square Feet, x 50 80 100 150
Time in Minutes, y 20 32 40 60
Average square feet per minute = 2.5 ft² (150/60)
Average time per square foot = 0.4 (60/150)
The total time to clean 200 square feet = 80 minutes (200 x 0.4)
Thus, using the average minute per square foot, the total time to clean 200 square feet of space will be 80 minutes.
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Piper went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 40 grams of sugar.
Piper purchased 2 more bottles of juice than bottles of soda and they all collectively contain 800 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, x, and the number of bottles of juice purchased, y.
please show me how to graph it! i’m begging
The number of bottles of soda be 8 and the the number of bottles of juice be 10 when Piper to the grocery shop and purchased Coke and juice bottles.
Given that,
Piper to the grocery shop and purchased Coke and juice bottles. Each soda bottle contains 50 grams of sugar, whereas each juice bottle contains 40 grams.
Piper bought 2 more bottles of juice than soda, and they all have 800 grams of sugar in total.
We have to determine out how many bottles of juice and soda were bought, y, and x, respectively.
We know that,
Let the number of bottles of soda be x.
And the the number of bottles of juice be y.
So,
We get the system of equation as
y = x+2 ----------->equation(1)
50x+ 40y=800 ------------->equation(2)
Substitute y = x+2 in equation(2)
50x+ 40(x+2) =800
50x+40x+80 =800
90x= 800-80
90x =720
x=720/90
x=8
Now substitute x=8 in equation(1)
y= x+2
y=8+2
y= 10
Therefore, The number of bottles of soda be 8 and the the number of bottles of juice be 10 when Piper to the grocery shop and purchased Coke and juice bottles.
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A fame holds a picture that is 15 inches long and X inches wide. The frame border is
3 inches wide around the picture. What expression represents the area of the frame
border?
Answer:
no
Step-by-step explanation:
How do the shapes in group 1 differ from those in group 2
Answer:
Group 1 polygons have sides that are the same length. But group 2 polygons do not.
30 points!
Graph the system.
y=3x-6
y=2/5x+5
What is the estimated solution of the system?
Enter your answer in the blanks. Round each coordinate to the nearest integer.
The lines intersect closest to the integer coordinates
The estimated solution of the system y=3x-6 and y=(2/5)x+5 is (4, 7)
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the linear equation:
y = 3x - 6 (1)
y = (2/5)x + 5 (2)
Subtracting equation 2 from 1 to solve using elimination method gives:
0 = 2.6x - 11
x = 55/13 ≅ 4
put x = 55/13 in eqn 2:
y = (2/5)(55/13) + 5
y = 87/13 ≅ 7
The solution is (4, 7)
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