The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?

Answers

Answer 1

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.

In linear equation y=mx+c, = rate of change of y with respect to x.

Here Coefficient of a = rate of change of C with respect to a.

i.e.  Coefficient of a =amount charged per acre in the park.

Hence,  The significance of the number 82.75 in the equation = amount charged per acre in the park.


Related Questions

A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?

Answers

Answer:

L=203 yardsW=52 yards

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards

Expand and simplify 6(2x - 3) – 2(2x + 1)

Answers

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .

Answers

Answer:

She started with 8 books.

Step-by-step explanation:

Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?

Answers

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

To calculate the initial investment, we need to use the following present value (PV) formula:

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

Please solve, need help quick

Answers

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................

3s - 4 = 8
cant figure it out

Answers

Answer:

3s = 8+4

3s = 12

s = 12/3

s = 4

20 points and brainliest.

Answers

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3

Mel can walk 1 mile in 18 minutes. If she stays at the same rate, how far can she walk in 45 minutes?

Answers

Answer:

2.5 miles

Step-by-step explanation:

45 ÷ 18 = 2.5 miles

PS: please mark as brainliest! I hope this answer helps!

Mel can walk 2.5 miles in 45 minutes. All you have to do is 45/18. Remember this for the future, it will help in high school.

2(15+6y)+5y=9 someone help me

Answers

Answer:

y=-21/17

Step-by-step explanation:

Answer:

y= - 21/17

Step-by-step explanation:

Rearrange terms:

2(15+6y) +5y =9

2(6y+15)+5y=9

Distribute:

2(6y +15) +5y=9

12y+30 + 5y = 9

Combine like terms:

12y+30+5y =9

17y+30 =9

Subtract 30 from both sides:

17y+30 =9

17y +30 -30 =9-30

Simplify:

17y=-21

Answer:

y=-21/17

What similarity property, if any, can be used to show that the following two triangles are similar.

Answers

They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:

Answers

Answer:

x=-1/2y , +3/4b, 7/4 this is the answer

The y-intercept is (0, 5) and the x-intercept is (2.5, 0).

What is an intercept of the straight line?

In the context of a straight line in a two-dimensional plane, an intercept refers to the point(s) where the line intersects with one or both of the coordinate axes (i.e., the x-axis and the y-axis).

To find the y-intercept, we set x = 0 and solve for y:

-4(0) + 7 = 2y - 3

7 = 2y - 3

2y = 10

y = 5

Therefore, the y-intercept is (0, 5).

To find the x-intercept, we set y = 0 and solve for x:

-4x + 7 = 2(0) - 3

-4x + 7 = -3

-4x = -10

x = 2.5

Therefore, the x-intercept is (2.5, 0).

To know more about an intercept follow

https://brainly.com/question/29112593

#SPJ7

what is 2+2 and what is your favorite song?

Answers

Answer:

2+2=4 and my fave song is blood in the water

Step-by-step explanation:

Mark Deathshot brainliest

Answer:

4 and i see a dreamer

Step-by-step explanation:

2/5+4/7 = Simplified

Answers

Answer:

exact form:34/35

Step-by-step explanation: combine the fractions by finding the common denominator i guess

PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !

Answers

Answer:

2nd Option

Step-by-step explanation:

3) Where do planes M and NJF intersect?
A. KJH
B. FG
C. JFG
D.GN

Answers

Answer:

C) JFG BECAUSE THAT IS WERE IT CROSSES AT

Answer:

the origen is where they all start

if the length of a flag is 18 inches and the width is 12 inches what is the area

Answers

Answer:

18 by 12 is 216

Answer:

216

Step-by-step explanation:

Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?

Answers

Answer:

70000

Step-by-step explanation:

help much? brainliest if i can

Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?

Answers

Answer:

9

Step-by-step explanation:

Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12

I’m pretty sure she will have 9 slices

Chet started to slow his eating speed down later in the evening. He was
now eating only 1/4 of a turkey every 2 hours. What was his unit rate
later in the evening?

Answers

Answer:

The unit rate is:

1/8 turkey/per hour.

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat  175  1/4 of a turkey.

Unit rate basically means 'how much of something per 1 unit of something else'.

A unit rate is a rate with a denominator of  1  unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.

i.e.

[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]

Therefore, the unit rate is:

1/8 turkey/per hour.

Uniforms are sold in packages of 8. The store's 137 employees will each be given 4 uniforms. How many uniforms will the store need to order all together?

Answers

Answer:

552 uniforms (69 packages)

Step-by-step explanation:

since each employee will be given 4 uniforms and each package contains 8 uniforms, you need 1 package of uniforms for every 2 employees.

Total number of employees = 137

total number of uniform packages = 137 / 2 = 68.5 packages which must be rounded up since you need to have enough uniforms for everyone = 69 packages

69 packages x 8 uniforms per package = 552 uniforms

will had 23 balls Sarah had 7 times a many as will had, Logan had 2 times as many Sarah had how many balls does everyone have

Answers

Answer:

Will clearly has 23 snow balls

Sarah has 161 snow balls

Logan has 322 snow balls

All in all thats a lotta dam snow balls hehe :)

Step-by-step explanation:

hope this helps yall :)

The answer is 483 all together

Which expression is equal to 5 6 (6 is an exponent)

6x5
36x6x6x6
25x5x5x5
125x125

Answers

Answer:

125 x 125

Step-by-step explanation:

I got it correct on my i ready pls trust.

3. g(x) = -5x
Describe the transformations to the following graph

Answers

Slope is minus 5, use rise/run (-5/1), it goes down for 5 units then goes right one unit or the opposite, it goes up five units the goes left one unit

Which of these graphs is the solution set for the equation y = -x?

Answers

It is B because when x = 1 y = -1 and when x= -3 y = 3

Answer:

B!

Step-by-step explanation:

I took the test and this was correct :)

Find the answer plz OR I WILL YEET YOU.

7/2x -3(5x -1/2)

Answers

Answer:

Step-by-step explanation:

Original equation:

7/2x - 3(5x - 1/2) = ?

Use distributive property for the parentheses

-3 · 5x = -15x

-3 · (-1/2) = 3/2 or 1.5

Plug these values into the equation

7/2x - 15x + 1.5 = ?

Combine like factors

-11.5x + 1.5 = a (a = answer)

The equation with fractions:

-11 1/2 + 1 1/2 = a

Hope this helps :)

julissa gave out an equal number of oranges to each of the 6 apartments on her floor. if she gave each apartment 5 oranges how many oranges did julissa give out in all

Answers

30
She gave 5 oranges to each of the 6 apartments. So multiply, 5x6=30

Manuel and Felicia are comparing how much
money they have
• Manuel has $250.
• He saves $150 per week,
• Felicia has $1,650.
• She spends $200 per week.
• Let x = the number of weeks
• Let y = the amount of money at the end
of the week.
Which system of equations represents this
situation?

Answers

Answer:

y = 250 + 150xy = 1650 - 200x

Step-by-step explanation:

Equation for Manuel:

y = 250 + 150x

Equation for Felicia:

y = 1650 - 200x

Solving we get:

250 + 150x = 1650 - 200x150x + 200x = 1650 - 250350x = 1400x = 1400/350x = 4 weeks

and

y = 250 + 150*4 = 250 + 600 = $850

After 4 weeks Manuel and Felicia will have equal amount of money- $850

Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.

Answers

Answer:

Total cost= $31

Step-by-step explanation:

Giving the following information:

The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.

First, we need to structure the total cost formula:

Total cost= 10 + 7h

h= number of hours

Now, for 3 hours:

Total cost= 10 + 7*3

Total cost= $31

raised the points and will mark u as brainliest please help.

Answers

Answer:

1. x = 102. x = -63. 944. x = 2

Step-by-step explanation:

1. F and M are equal angles and sum of internal angles = 180, so

2(7x + 5) + 30 = 18014x + 10 + 30 = 18014x = 140x = 10

2. Triangle is equilateral as all angles are equal, so all sides are equal:

4x + 43 = -2x + 74x + 2x = 7 - 436x = -36x = -6

3. Isosceles triangle with equal angles of R and T:

4x + 7 = 7x - 20  (using values as per picture not text)7x - 4x = 20 + 73x = 27x = 9

Angle S is

180 - 2(4*9 + 7)= 180 - 2(43) = 180 - 86 = 94

4. Angle 2 is supplementary with 156 as isosceles triangles and vertical angles are equal, therefore:

180 - 156 = 6 + 9x24 = 6 + 9x18 = 9xx = 2
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