This graph shows a proportional relationship.
What is the constant of proportionality?

Answer:

The last choice is correct

[tex]LCM=120a^4b^7c^5[/tex]

Step-by-step explanation:

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

[tex]12a^4b^2c^5[/tex]

[tex]40a^3b^7c^1[/tex]

The prime factors of the first monomial are:

[tex]2^2,3,a^4,b^2,c^5[/tex]

The prime factors of the second monomial are:

[tex]2^3,5,a^3b^7c^1[/tex]

LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]

These are all the factors the greatest number of times they occur.

Operating:

[tex]LCM=8*15*a^4*b^7*c^5[/tex]

[tex]\boxed{LCM=120a^4b^7c^5}[/tex]

The last choice is correct

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answer:

74.52

Step-by-step explanation:

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

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and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

Answer: b

Step-by-step explanation:

Just took the test

The value of y is 12√3

From the diagram given, we are to find the value of "y"

First, we need to get the length of TU

TU² = 6² - 3²

TU² = 36 - 9

TU = √27

Next is to get the value of y

y² = (√27)² + 9²

y² = 27 +81

y = √108

y = 12√3

Hence the value of y is 12√3

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

30

Step-by-step explanation:

2x^3+3y-4

2(2)^3+3(6)-4

2(8)+18-4

16+18-4

30

2(8)+3(6)-4

16+18-4

30

The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

A cannery processed 785 pounds of strawberries in 5.5 hours.

and, The cannery processed 1550 pounds in 10 hours.

let S be weight of strawberries and T be the Time.

So,

slope = (1550 - 785) / (10 - 5.5)

         = 170

Using slope- intercept form

y = mx + b

1550 = 170 (10) + b

b= -150

Then, y = 170 x - 150

and the equation is s = 170 t - 150

At t= 8 hour

s= 170x 8 - 150

s = 1210 pound.

Learn more about slope here:

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Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]

Where;

E[R] = The expected return

[tex]R_i[/tex] = The return received in the instance i

[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

Answer:

B- hope this helps:)

Step-by-step explanation:

The total cost to paint 864.5 square feet of wall is $2,048.87.

It is given that the cost to paint one square foot of wall is $2.37.

We are asked to find the total cost to paint 864.5 square feet of wall.

If we have a number that has a decimal point then we have two parts.

The whole number part and the fractional part.

After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.

You can also see the given figure below.

We know that,

One square foot = $2.37.

Remember that Feet is the plural form of the foot.

We can write,

864.5 square feet = 864.5 x  one square foot

Because in 864.5 square feet we have 864.5 one square foot.

And since one square foot cost $2.37.

864.5 square feet will cost 864.5 x 2.37 dollars.

Now,

864.5 x 2.37 = $2048.865.

Rounding to the nearest hundredth.

6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.

Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.

Learn more about rounding decimal numbers here:

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Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]

The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]

So,  the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Answer:

9

Step-by-step explanation:

9 (t3+0.5)

his running time is 9

Answer:

1.5 Hrs

Step-by-step explanation:

SWIM:  Time: T    Rate: 2.5mph   Distance: 2.5T

RUN:    Time: T+0.5  Rate: 9mph   Distance: 9T+4.5

BIKE:    Time: 2T+1  Rate: 16mph   Distance: 32T+16

2.5T+9T+4.5+32T+16 =  64

43.5T+20.5=64

43.5T=43.5

T=1

RUN: T+0.5= 1+0.5=1.5      

Answer:

A because the angles add to 180, which is what angle ABC is.

Answer:

Your answer is: y = 1/3x + 3

Use the formula y = mx + b

Step-by-step explanation:

Hope this helped : )

Answer:

y=-2/3x

I think that's the simplest form

The correct answer is Farah's mixture

Explanation:

In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.

Rasu:

Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2  or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.

Farah:

The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

Answer:

x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.

Answer:

0.625

It has 3 digits (finite) after the decimal point.

Step-by-step explanation:

Given that :

Total number of pitches = 384

Total number of fasfballs = 240

To make an update :

Ratio of the number of fastballs and total number of pitches

240 : 384

240/384

= 0.625

The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.

Answer:

2.5

Step-by-step explanation:

Divided them

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

Answer:

15 rooms.

Step-by-step explanation:

32x=500

x=15.625

Rounding down (since you can't get a fraction of a room), you get 15 rooms.

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

[tex]y=3x[/tex]

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

[tex]y=3+2x[/tex]

Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.

Answer:

- 84

Step-by-step explanation:

I think answer to this question is -28

I hope it will be correct

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer: The answer would be 25

Step-by-step explanation:

Hope this helps!