A lawn mowing service charges $280 to mow 8 acres and $385 to mow 11 acres. Find the slope in cost per acre.

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Answer:

5

Step-by-step explanation:

The constant of proportionality (r) in the equation y=rx is 3

The equation of the function is given as:

y = rx

Make r the subject

r = y/x

From the table, we have:

y = 36 when x = 12

So, the equation becomes

r = 36/12

Divide

r = 3

Hence, the constant of proportionality (r) in the equation y=rx is 3

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Answer:

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

1)Cost of 1 ton = $ 2000

Cost of 2 ton = $3500

Cost of 3 ton = $5000

$ 1500 increase for each of ton of sugar being transported.

2) (1 , 2000) ; (2 , 3500)

Slope =

= 1500

Answer: 60%

Step-by-step explanation: i hope it helps.

Answer:

60%

Step-by-step explanation:

Answer:

2.00

Step-by-step explanation:

$50 x .04=$2.00

Answer:

5+a-4√a+1 / a-3

The rationalization of given expression is a+5-4√(a+1)/(a+5).

Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.

The given expression is √(a+1)-2/√(a+1)+2.

Multiply both numerator and denominator by (a+1)-2, we get

√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2

= (√(a+1)-2)²/(√(a+1))²+2²

= (√(a+1))²-2×√(a+1)×2+2²/a+1+4

= a+1-4√(a+1)+4/(a+5)

= a+5-4√(a+1)/(a+5)

Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).

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Answer:

-10

Step-by-step explanation:

hope it helps

Answer:

blue point value is -10

Step-by-step explanation:

First lets find the difference between each point on the line,

The gap between 10 and 2 has 2 points

So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,

So 8/2 = 4 is the difference between each point from top to bottom.

There is 3 points after 2 to reach blue,

So 4 x 3 = 12, is the difference in value between point C(2) and point blue,

So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10

Therefore the value of blue point is -10

Happy to help :)

Answer:

[tex]area \: A = {s}^{2} \\ = {9}^{2} \\ A \: = 81 \: square \: feet \\ or \\ A = 81 \: {ft}^{2} [/tex]

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

Answer:

3.74

Step-by-step explanation:

bought can be as subtract

So...

6 4/5 - 3 1/18 = 3.74 THXS! (>-<)

Answer:

2^7

Step-by-step explanation:

Answer:

2^7

Step-by-step explanation:

2 to the 7th power because there are 7 2s in the whole equation

Also, 2*2*2*2*2*2*2 is 128, which is 2^7

Answer:

The answer is C on Edge 2021

Step-by-step explanation:

In step 2 he confused the multiplication and addition signs

Answer:

C

Step-by-step explanation:

got it right

Answer:

k

Step-by-step explanation:

its just k, since 1k can be simplified to just k

Answer:

-2

Step-by-step explanation:

slope is rise over run

-2/1

= -2

Answer:

-2

Step-by-step explanation:

Slope is rise over run  -2/1

Answer:

2

Step-by-step explanation:

all of those equal 31

Answer:

31

Step-by-step explanation:

The ratios 3:8 and 4:7 are not proportion. You can tell this easily by how in the second ratio, the first number is one larger, but the second number is 1 lower. If this was proportional, then both numbers would go either up or down depending on the circumstance.

May I have brainliest pleasER? :)

Answer:

Sara or x=15, Joe=27

Step-by-step explanation:

Using J to represent Joe and S to represent Sara

J=2S-3

J+S=42 or J=42-S

Substitute for J:

42-S=2S-3

3S=45

S=15

J=2(15)-3 = 27

Answer: ↓↓↓

Step-by-step explanation:

a.) 100 - 10^2

b.) 10,000 - 10^4

c.) 100,000 - 10^5

d.) 10 - 10^1

e.) 1000 - 10^3

f.) 1,000,000 - 10^6

What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.

Step-by-step explanation:

6.-3

8.-36

10.11

make it braintliest please

Answer:

6) q = -3

8) d = -4

10) y = 10

Step-by-step explanation:

6) -7q = 21

divide by -7 on both sides

q = -3

8) -1/3d = 12

divide both sides by -1/3

d = -4

10) -88 = -8y

divide both sides by -8

10 = y

or

y = 10

Answer:

I think its D bc the scale factor is 1:5 so 12:60 therefore the answer I think is D

I hopeit helps but if its wrong im very sorry :(

Step-by-step explanation:

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

Answer:

4

Step-by-step explanation:

Answer:

a would be 2/9 and b would b 1/4 and c would be 0.17

Step-by-step explanation:

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

Answer:

The smallest order of fractions in that order would be,

Step-by-step explanation:

1/6, 1/3, 1/2

because the bigger the denominater, the larger the whole is, and in 1/2, it would be equivalent to half, but 1/6 would be smaller. Let's say if it were 3/6, it would be equivalent to 1/2 because its half right? so thats another way you can tell how one fraction is smaller than another.

1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

A fraction represents a part of a whole.

The given three fractions are 1/6, 1/3 and 1/2.

We need to order them smallest to largest.

Let us make the denominator same for all the three fractions to compare which is larger and smaller.

1/6×2/2=2/12

1/3×4/4=4/12

1/2×6/6=6/12

So 1/6 is smaller, 1/2 is bigger.

We know Arranging numbers in increasing order, that is, from smallest to largest is known as ascending order.

by using ascending order we can order the fractions like 1/6,1/3,1/2.

Hence, 1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

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Answer:

60%

Step-by-step explanation:

Answer:

the top option

Step-by-step explanation:

solve 4x - 2 = 10 and you get

4x = 12

x = 3

this means there is only one solution and only 3 should be filled in