Answer:
Keme lang bhie33
Step-by-step explanation:
Compare two-and-four-fifths and three-and-one-half.
A. >
B. <
C. =
D. None of the Above
Two-and-four-fifths is less than three-and-one-half.
The correct option is B.
What are fractions?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
For example, 5/10 is a fraction.
Here, 5 is a numerator and 10 is a denominator.
Comparing two-and-four-fifths and three-and-one-half.
two-and-four-fifths = [tex]2\frac{4}{5}[/tex]
three-and-one-half = [tex]3\frac{1}{2}[/tex]
Changing them from mixed fractions to improper fractions
[tex]2\frac{4}{5} = \frac{14}{5} \\\\3\frac{1}{2} = \frac{7}{2}[/tex]
We can deduce that [tex]\frac{14}{5}[/tex] < [tex]\frac{7}{2}[/tex]
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Select the correct answer.
Graph function f.
Which key features apply to the graph?
The graph has a y-intercept at and is increasing over the interval .
The graph has a y-intercept at and is decreasing over the interval .
The graph has a y-intercept at and is decreasing over the interval .
The graph has a y-intercept at and is increasing over the interval .
The graph has a y-intercept at (0, 1) and is decreasing over the interval. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The exponential function is given below.
f(x) = (1/3)ˣ
The value of the function at x = 0 will be given as,
f(0) = (1/3)⁰
f(0) = 1
As the value of the variable 'x' increases, then the value of the variable 'y' decreases. Then the function is a decreasing function.
Then the correct option is C.
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Some help would be greatly appreciated!!
Answer: I am confused by this can you explain further
Step-by-step explanation:
Answer:
Step-by-step explanation:
All of the other answers except for PQY are lines. You can assume that the answer is PQY.
Anna has 2 bottles of jellybeans, a and b. bottle a has 400 jellybeans while bottle b has 300 jellybeans. 75% of the jellybeans in bottle a are red while the rest are yellow; 50% of the jellybeans in bottle b are red while the rest are yellow. if anna moves some jellybeans from bottle a to bottle b such that 80% of the jellybeans in bottle a are now red and 40% of those in bottle b are yellow, find the number of jellybeans anna moves from bottle a to bottle b.
Anna moves 100 jellybeans from bottle a to bottle b, changing the number of red jellybeans in bottle a to 80% and the number of yellow jellybeans in bottle b to 40 percentage
Let x be the number of jellybeans Anna moves from bottle a to bottle b
Original:
Bottle a: 400 jellybeans, 75% red, 25% yellow
Bottle b: 300 jellybeans, 50% red, 50% yellow
After:
Bottle a: 400 jellybeans, 80% red, 20% yellow
Bottle b: 300 + x jellybeans, 40% yellow, 60% red
Equations:
75% of 400 = 300 red jellybeans in bottle a
50% of 300 = 150 red jellybeans in bottle b
80% of 400 = 320 red jellybeans in bottle a
60% of (300 + x) = 180 red jellybeans in bottle b
320 red jellybeans in bottle a - 300 red jellybeans in bottle b = 20 red jellybeans
180 red jellybeans in bottle b - 150 red jellybeans in bottle b = 30 red jellybeans
20 red jellybeans in bottle a = 30 red jellybeans in bottle b
x = 100 jellybeans
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Write an equation of the line that passes through the given points.
(-2,6) and (4,0)
The equation is _______. (Type your answer in slope-intercept form.)
Answer:
y = -1x + 4
Step-by-step explanation:
First find the slope (m):
m = (0-6)/(4-(-2)) = -6/6 = -1
y = mx + b
Plug one of the points into the equation: (pick (4,0))
0 = -1(4) + b
b = 4
Now you have the complete equation:
y = -1x + 4
Identify the proof to show that ATSVARSV, where ZTVS RVS are right angles, V is the midpoint of TR, TS RS, and
VS bisects RST
The proof to show that ΔTSV ≅ ΔRSV, given that V is the midpoint of TR.
Properties of congruent right triangles.Two right angled triangles are said to be congruent if they have the same corresponding properties when compared.
A midpoint is said to divide a given line into two equal parts. So that the measure of length of the two parts are exactly the same. It may be determined by bisecting the line.
The following is the proof that ΔTSV ≅ ΔRSV;
<RSV ≅ <TSV (definition of an angle bisector)
<RVS ≅ <TVS (definition of right angle)
RS ≅ TV (sides of congruent triangles)
RT = RV + VT (addition property of a line bisector)
RV ≅ VT (definition of a midpoint)
Therefore it can be deduced that;
ΔTSV ≅ ΔRSV (Side-Angle-Angle congruency theorem)
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find the area of the shaded region below. Give your answer as a completely simplified exact value in terms of π (no approximations).
The area of the shaded regions is 4π - 8
How to determine the area of the shaded regionsFrom the question, we have the following parameters that can be used in our computation:
Shape = circleShaded region = chordsWe start by calculating the area of the triangle using
Area of triangle = 1/2absin(C)
Substitute the known values in the above equation, so, we have the following representation
Area of triangle = 1/2 * 4 * 4 * sin(90 degrees)
Evaluate
Area of triangle = 8
Next, we calculate the area of the semicircle using
Area = 0.125πd²
Where
d² = (4² + 4²) = 32
So, we have
Area semicircle = 0.125π * 32 = 4π
The area of the circle is
Area circle = 0.25πd²
This gives
Area circle = 0.25π * 32 = 8π
The area of the shaded regions is
Shaded region = circle - semicircle - triangle
Substitute the known values in the above equation, so, we have the following representation
Shaded region = 8π - 4π - 8
Evaluate
Shaded region = 4π - 8
Hence, the shaded region is 4π - 8
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X times (7/3) = 1
What is X?
find y and x intercepts
The value of y and x intercepts are 1 and -5/2
What is intercept?We should know that the x-intercept is the point where the x line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis respectively
The equation of the graph is give as follows
m=(y-y₁)/(x-x₊)
Taking the points (0,1) and (5,3)
We can use them to find the slope
3-1/5-0
m=2/5
Applying this to the equation of the line to get
2/5 = y-1/x-0
2/5=y-1/x
Cross and multiply to get
2x=5y-5
Rewrite the equation and make y the subject of the relation
y=2/5x+1
When y=0 2/5x=-1
This implies that x= -5/2
Also, when x=0
y=0+1 = 1
The y intercept is 1 and the x intercept is -5/2
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Express 0.0000018 in scientific notation.
Answer:
1.8 × 10-6.
Step-by-step explanation:
The sum of five times a number x and forty-five is sixty.
Answer: 5x+45=60 or 45x+5=60
Step-by-step explanation:
The sum of five times a number= 5x
times a number= x or n
is= equals sign
When we put it all together we get 5x+45=60
edit: If that is wrong try 45+5x=60
Hope this helps :)
Some people are made to share an amount of GH¢40.00.If each person received ⅖ of a cedi. How many people received a share?
The number of people who receive a share of 2/5 from the given amount is 16 people.
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
Given that the amount of share is GHc 40.00 and each individual person receives [tex]\frac{2}{5}[/tex] of the cedi.
The number of people who received the share can be calculated as:
[tex]n = 40 * \frac{2}{5}\\ \\n=16[/tex]
Hence, the number of people who receive a share of 2/5 from the given amount is 16 people.
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PLEASE ANSWER IN 10 MINUTES ASAP FOR BRAINLIEST
Answer:
A -1/4
B 1/6
Step-by-step explanation:
To find the slope from (-7, 5) to (-3, 4), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting in the coordinates of the two points, we get:
slope = (4 - 5) / (-3 - (-7))
= (-1) / 4
= -1/4
Therefore, the slope from (-7, 5) to (-3, 4) is -1/4.
To find the slope from (-3, 4) to 3,5, we can use the slope formula again:
slope = (5 - 4) / (3 - (-3))
= 1 / 6
= 1/6
Therefore, the slope from (-3, 4) to 3,5 is 1/6.
The slopes from Parts A and B tell us that the relationship between all the points in the table is that the y-values are increasing as the x-values increase, but the rate of change is different between the two pairs of points. Specifically, the y-values are increasing more quickly (at a slope of 1/6) as the x-values increase from (-3, 4) to 3,5 than they are (at a slope of -1/4) as the x-values increase from (-7, 5) to (-3, 4).
Solve for x and y
x+3y=3
3x+5y=5
Answer:
x = 0, y = 1
Step-by-step explanation:
This is a system of simultaneous equations in two variables
One method of solving is to get the coefficients of one of the variables same, add or subtract to eliminate that variable and solve for the other variable.
We have
x + 3y = 3 ...............[1]
3x +5y = 5................[2]
If we multiply Equation [1] by 3 we can get the x coefficients the same
[1] x 3 :
3x + 9y = 9..............[3]
Subtract equation [2] from equation [3]
[3] - [2]
(3x + 9y) - (3x + 5y) = 9-5
3x - 3x + 9y - 5y = 4
4y = 4
y = 1
Substitute for y = 1 in equation [1] to get
x + 3(1) = 3
x + 3 = 3
x = 0
So answer is
x = 0, y = 1
Answer:
x=3-3y------eq_i
3x=5-5y
x=5-5y--------eq_ii
3
equating eq i and ii
x=x
3-3y=5-5y
3
3(3-3y)=5-5y
9-9y=5-5y
-9y+5y=5-9
-4y= -4
y=1
now, subsituting the value of y in eq i
x=3-3y
x=3-3×1
x=3-3
x=0
List the sample space for rolling a fair seven-sided die.
A. S = {1, 2, 3, 4, 5, 6, 7}
B. S = {1, 2, 3, 4, 5, 6, 7, 8}
C. S = {1}
D. S = {7}
Answer: A: S = {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
"If a fair seven-sided die is rolled, the sample space, or S = {1, 2, 3, 4, 5, 6, 7} will be the numbers from 1 to 7.
What is probability and sample space?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.A sample space is a set of potential results from a random experiment. The letter ""S"" is used to denote the sample space.
Events are a subset of an experiment's potential outcomes.Hence if a fair seven-sided die is rolled, the sample space will be the numbers from 1 to 7 that is S = {1, 2, 3, 4, 5, 6, 7}.
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Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009 ?
A) Sales generally increased each year since 1997.
B) Sales generally decreased each year since 1997.
C) Sales increased until 2000 and then generally decreased.
D) Sales generally remained steady from 1997 through 2009.
Sales increased until 2000 and then generally decreased. Hence, option C is the most appropriate answer to this question.
From the given graph,
The 0 on the x-axis denotes the year 1997, the 1 on the x-axis denotes 1998, and so on.
We can clearly see that the graph is neither steadily increasing nor steadily decreasing. Hence, options A and B are ruled out.
Sales never remained steady from 1997 to 2009 since the graph showed upward and downward movements. Hence, option D is wrong.
We can see the Graph is moving up from 1997 to 2000 and then moving down from 2000 to 2009.
Thus, sales increased from 1997 to 2000 and decreased from 2000 to 2009, so we can say they generally decreased after 2000.
Hence, option C is the correct answer.
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The complete question is -
Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009?
A) Sales generally increased each year since 1997.
B) Sales generally decreased each year since 1997.
C) Sales increased until 2000 and then generally decreased.
D) Sales generally remained steady from 1997 through 2009.
A thermometer initially reading 207℉ is placed in a room where the temperature is
65℉. After 2 minutes the thermometer reads 108℉. Round all answers to 1 decimal place. Enter "DNE" if an answer does not exist.
a) What does the thermometer read after 4 minutes? (in ℉)
b) How long until the thermometer reads 75℉? (in minutes)
c) How long until the thermometer reads 64℉? (in minutes)
Using the Newton law of cooling;
a) 78
b) 4.4 min
c) 8.2 min
What is the Newton law of cooling?We know that;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = Temperature at time t
T(s) = Temperature of the surroundings
k = Rate of cooling
t = time taken
108 = 65 + (207 - 65)e^-2k
108 - 65 = (207 - 65)e^-2k
43 = 142e^-2k
43/142 = e^-2k
-2k = ln(0.3)
k = ln(0.3)/-2
k = 0.6
Thus;
At t = 4
T(t) = 65 + (207 -65)e^-4 *0.6
T(t) = 78
For T(t) = 75℉
75 = 65 + (207 -65)e^-t *0.6
75 - 65 = 142e^-t *0.6
10/142 = e^-t *0.6
-t *0.6 = ln(0.07)
t = ln(0.07)/-0.6
t = 4.4 min
For T(t) = 64℉
64 = 65 + (207 -65)e^-t *0.6
-1 = 142e^-t *0.6
-1/142 = e^-t *0.6
t = ln(-0.007)/-0.6
t = 8.2 min
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7. Find the value of x in the diagram given that MNP = A XYZ. M (3x + 4) X = N P N X (6x - 11) Y
The value of x in the diagram is x = 5
Find the value of x in the diagramThe steps for this process are as follows
Step 1: Since MNP = AXYZ, we can set up an equation to solve for x.
Step 2: We can use the information from the diagram to form the equation.
Step 3: 3x + 4 = 6x - 11
Step 4: Subtract 3x from both sides of the equation.
Step 5: 4 = 3x - 11
Step 6: Add 11 to both sides of the equation.
Step 7: 15 = 3x
Step 8: Divide both sides of the equation by 3.
Step 9: 5 = x
The theory used in this question is algebra. Algebra is used to solve equations and determine values for variables. In this case, algebra was used to solve for the value of x.
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STATS PROBABILITY QUESTION SOS:
1. You draw cards with replacement from a standard deck until you have drawn 2 hearts. What is the probability that the 2nd heart is drawn on the 10th turn?
2. You draw cards with replacement from a standard deck until you have drawn 4 black cards. What is the probability that the 4th black card is drawn on the 10th turn?
3. Find a formula for the probability of the following situation. Write it out using calculator operations like !, nPr, nCr, *, /, ^, etc...
You draw cards from a standard deck until you have drawn k face cards. What is the probability that the kth face card is drawn on the xth turn?
The probability the second card drawn is also a heart is 12/51.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
1) The probability the first card drawn is a heart is 13/52= 1/4. Since that heart is NOT returned to the deck, there are now 51 cards, 12 of them hearts. The probability the second card drawn is also a heart is 12/51. Since that heart is NOT returned to the deck there are now 50 cards, 11 of them hearts.
2) You draw cards with replacement from a standard deck until you have drawn 4 black cards.
Here, 22/48
= 11/24
4) The probability that the kth face card is drawn on the xth turn
Probability =k/x
Therefore, the probability the second card drawn is also a heart is 12/51.
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The variables X and y vary inversely. Write an equation relating X and y.
An equation relating X and y is _____
Consequently, y=90/x serves as the equation illustrating the connection between the two variables.
what is equation ?An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.
given
We can express this relationship as y1x if the variable y varies inversely as the variable x.
Y=k/x is the result of taking away the proportionality sign and adding a proportionality constant.
If y is equal to 18 when x is equal to 5, then 18=k/5 k=185=90.
Consequently, y=90/x serves as the equation illustrating the connection between the two variables.
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2/5+3/4 what is it
2/5 + 3/4 =
Answer: 1.15
Step-by-step explanation:
2/5+3/4=1.15
Cross out the numbers that are NOT powers of 10? 106, 40 x10³, 40 x 1,000, -0.55, 0.001
The historical setting is important because women were so limited in their freedom to vote which greatly affected politics.
False
True
It is true the historical setting is important because due to this historical setting and the fact women were not allowed to vote politics were affected.
What is the historical setting?The historical setting refers to the conditions that affect a specific year, decade or historial moment. For example, in 1944 in you lived in Europe the most important factor of the historical setting was the Second War World.
Is it true the historical setting greatly affected politics?It is true the historial settign greatly affected politics. Indeed historical conditions such as the fact women could not vote or were limited to do so affected not only those that were choosen as politicians but also the laws and policies created. For example, as there were not women in the government there were not laws to protect women.
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PLEASEEEE HElpppp...
Answer:6.5
Step-by-step explanation:
it cant be 2 ft or 72 feet so it leaves us with the other two opsitions
basta
= mini
Write a system of
inequalities:
3. Graph the system: 10
4. List 2 possible
combinations:
4. Emma is buying new herbs for her garden. Basil plants cost $5 each and mint plants cost
$10 each. She wants to buy at least 9 plants but cannot spend more than $70. Write and solve
a system of linear inequalities that shows all possible combinations of the plants Emma could
purchase.
. Identify the variables:
x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Emma is buying new herbs for her garden
Basil plants cost $5 each and mint plants cost $10 each.
She wants to buy at least 9 plants but cannot spend more than $70.
Let x represents the number of Basil plants
y represents the number of mint plants
x+y≥9
5x+10y≤70
x≥0 and y ≥ 0
Now x=9-y
5x+10y≤70
5(9-y)+10y=70
45-5y+10y=70
45+5y=70
Subtract 45 on both sides
5y=70-45
5y=25
Divide both sides by 5
y=5
x+5=9
x=4
Hence, x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.
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Selena estimates that she uses 8 gallons of gas to drive 240miles. What is her esimate asa ratio of miles to gallons
Answer:
1 mile to 0.033333333333 repentant
Step-by-step explanation:
please help please thankyou
The quocient rule can not be used in option C.
Which expression can not be simplified by the use of the quotient law of exponents?We know that in dealing with exponents there are certain laws that come into play and a few among these are;
a) Multiplication law
b) quotient law
c) Power law etc
The quotient law states that;
If a^m ÷ a^n
Then;
a^ m - n
This would only hold where there is a division thus it doesn't hold for the expression in option C. In this case, we would have to use the multiplication rule of exponents.
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Answer:
c
Step-by-step explanation:
Write an equation in point-slope form for the given point and slope: (4,9); m=3
Answer:
y - 9 = 3(x - 4)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 3 and (a, b ) = (4, 9 ) , then
y - 9 = 3(x - 4) ← equation of line
Answer: y - 9 = 3(x - 4)
Step-by-step explanation: The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 3 and (a, b ) = (4, 9 ) , then
y - 9 = 3(x - 4) ← equation of line
Angel has a deck that measures 20 feet by 25 feet. He wants to increase each dimension by equal lengths so that its area is increased by 50%. By how much should he increase each dimension?
The dimensions of the deck should be increased by 5 feet each
How to determine by how much the lengths should be increasedFrom the question, we have the following parameters that can be used in our computation:
Length = 20 feet
Width = 25 feet
So, the area is
Area = 20 * 25
Evaluate
Area = 500
When increased by 50%, we have
(20 + x) *(25 + x) = 500 * 1.50
Evaluate
(20 + x) * (25 + x) = 750
Express 750 as 25 * 30
So, we have
(20 + x) * (25 + x) = 25 * 30
This means that
20 + x = 25
25 + x = 30
Solve for x
x = 5 and x = 5
This means that
Increment = 5
Hence, the lengths should be increased by 5 feet
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Without Computing, decide whether the value of each expression is much smaller than one, close to one, or much greater than one. 50 1/3 divided 50 1/4
The category of the numbers are
The smaller number is 50 1/4The greater number is 50 1/3The numbers are closer to one anotherHow to determine the category of each expressionFrom the question, we have the following parameters that can be used in our computation:
50 1/3 divided 50 1/4
This means that the individual numbers are
50 1/3 and 50 1/4
From the above numbers, we have
Integer part = the same number (50)Numerator = the same number (4)Denominator = different numbers (3 and 4)The greater the denominator, the smaller the number
This means that:
The greater number is 50 1/3, the smaller number is 50 1/4 and the numbers are close to one another
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