Answer:
melanie can do a job in 4 hours
so she can do 1/4 of the job in 1 hour
Kim does the same job in 6 hours
So he can do 1/6 job in 1 hour
Together they can do 1/4 + 1/6 of the job in 1 hour
1/4 + 1/6
= 3+2 / 12
= 5/12 job in one hour
so 1 job they will do together in 12/5 hours
= 2.4 hours
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).
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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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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URGENT!!! HELP
Translate the sentence into an equation.
Three less than the product of 9 and a number equals 2.
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
Bert wears a pedometer that tracks the number of steps he takes. Before mowing the lawn this morning, he predicted he'd take 1,800 steps while doing the job. His prediction was 4% lower than the actual number of steps he took. How many steps did Bert actually take while mowing the lawn?
The number of steps that Bert actually took while mowing the lawn is given as follows:
1875 steps.
How to obtain the normal price of the car?The number of steps that Bert actually took while mowing the lawn is obtained applying the proportions in the context of this problem.
His prediction was 4% lower than the actual number of steps he took, hence we have that 100 - 4 = 96% of the total number x is equivalent to 1800 steps.
Hence the equation that is used to obtain the value of x is defined as follows:
0.96x = 1800
x = 1800/0.96
x = 1875.
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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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Cross out the numbers that are NOT powers of 10? 106, 40 x10³, 40 x 1,000, -0.55, 0.001
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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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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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 :)
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.
2/5+3/4 what is it
2/5 + 3/4 =
Answer: 1.15
Step-by-step explanation:
2/5+3/4=1.15
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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The following graph represents a population with a Normal distribution: Area=0.3085 80 87 Which of the following statements we CANNOT conclude based on the graph? a. The proportion of this population that lies at or below x=87 is 0.6915 b. The proportion of this population that lies at or below x=87 is 0.3085 c. The proportion of this population that lies at or above x=87 is 0.3085 d. The standard deviation of this population is greater than 7
The Correct answer is option b. The proportion of this population that lies at or below x=87 is 0.3085.
We can conclude that the proportion of this population that lies at or below x=87 is 0.6915 because the graph shows that the area under the curve to the left of x=87 is 0.3085. However, we cannot conclude that the proportion of this population that lies at or below x=87 is 0.3085 because this statement is contradictory to the information provided in the graph.
The area under the curve to the left of x=87 represents the proportion of the population that lies at or below x=87, so it cannot also be equal to the proportion of the population that lies at or above x=87.
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what is the answer for this mathematical question?
Answer:
Disagree with Chen
Explanation below
Step-by-step explanation:
The vertex of a quadratic function is either the minimum or maximum of that function.
We can find the value of x for which the minimum or maximum occurs by differentiating the function with respect to x, setting the differential to 0 and solving for x.
We have
[tex]f(x) = ax^2+bx+c = 0[/tex]
Differentiating with respect to x we get
[tex]f'(x) = 2ax+b[/tex]
Setting this first derivative to 0 gives us
[tex]2ax+b =0[/tex]
[tex]2ax = -b\\[/tex]
[tex]x = -\dfrac{b}{2a}[/tex]
So the vertex will occur at
[tex]x_v = -\dfrac{b}{2a}[/tex]
Substitute this value of [tex]x _v[/tex]into the original function to get the corresponding value of [tex]y_v[/tex] for the vertex
[tex]f(x_v) = a\left(-\dfrac{b}{2a}\right)^2 +b\left(-\dfrac{b}{2a}\right) + c\\\\\\= a\left(\dfrac{b^2}{4a^2}\right) - \dfrac{b^2}{2a} + c\\\\\\= \dfrac{b^2}{4a} -\dfrac{b^2}{2a} + c\\\\\\[/tex]
[tex]\dfrac{b^2}{4a} -\dfrac{b^2}{2a} = -\dfrac{b^2}{4a}\\\\[/tex]
giving us
[tex]f(x_v) = -\dfrac{b^2}{4a} + c\\\\[/tex]
The right hand side can be simplified by multiplying throughout by 4a giving
[tex]f(x_v) = \dfrac{-b^2 + 4ac}{4a}\\\\\\[/tex]
which can be re-written as
[tex]f(x_v) = -\dfrac{b^2-4ac}{4a}[/tex]
But this is nothing but the y-coordinate of the vertex ie [tex]y_v[/tex]
So the vertex will occur at the point
[tex]\left(-\dfrac{b}{2a}, -\dfrac{b^2-4ac}{4a}\right)[/tex]
Chen is therefore incorrect
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
36/-18 will result in a negative, positive, or neither number
Answer:negative it would be -2
Step-by-step explanation:
Answer:
negative.
Step-by-step explanation:
36/-18=-2
Which pair of expressions represents inverse functions?
4x-3x/4x-2 and x+2/x-2
4x+2/x-3 and 5x+3/4x-2
2x+5 and 2+5x
x+3/4x-2 and 2x+3/4x-1
Answer:2 hope this helps it was right on my test
Step-by-step explanation: it was right on the test i took
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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Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?
There is no solution.
There is one unique solution, (−6, 2).
There is one unique solution, (3, 0).
There are infinitely many solutions.
Answer:
A-There is no solution
Step-by-step explanation:
if you put 2x-6 into a calculator you'll get -12 and if you add that to 6x2 you'll end up with zero.
if you do 6x-6 you get -36 add that to 36 you'll get zero again
so (-6,2) is incorrect
if you do 2x3+6x0 you get you'll get 6
if you do 6x2+18x0 you get 12
so (3,0) is incorrect
it wouldn't be infinitely many solutions either because the equations would have to be the same therefore the answer is
A-there is no solution
That's the best I can explain it sorry if it's confusing.
also, the X in this is for the multiplication in case you're confused have a nice day/night :)
Note that there is no solution for the system of equations given above (Option A)
What is a system of equations?A set of simultaneous equations is a finite collection of equations for which common solutions are sought in mathematics. It is also known as a system of equations or an equation system.
Given:
2x + 6y = 12 .......................1
6x + 18y = 18 ......................2
We will attempt to solve the above system of equations using Substitution Method.
In equation (1) , makes x the subject of the expression. Thus,
2x + 6y = 12
2x + 6y + (−6y) = 12+ (−6y) (Add -6y to both sides)
2x = −6y + 12
2x/2 = -6y + 12/2 (Divide both sides by 2); thus
x = -3y + 6 ..........................(3)
Substitute the above expression 3 into (2) above. That is:
6x + 18y = 18
6(−3y+6) + 18y = 18
-18y + 36 + 18y = 18
36 = 18 (Add -36 to both sides);
0 = - 18
Since the above expression is illogical, that is -18 ≠ 0, therefore, we must conclude that the above problem has no solution.
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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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Express 0.0000018 in scientific notation.
Answer:
1.8 × 10-6.
Step-by-step explanation:
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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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
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
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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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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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:
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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