The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. The cost of resurfacing a mile of 2-lane road is estimated at $84,000. The average starting salary of a worker in the department is $36,000 a year. Select all of the equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it spends the entire budget. a \large 84,000m=\frac{1,962,800}{36,000w} b \large \frac{1,962,800+36,000w}{84,000}=m c \large 84,000m-36,000w=1,962,800 d \large \frac{1,962,800-84,000m}{36,000}=w e \large 84,000m+36,000w=1,962,800

Answers

Answer 1

Answer:

d \large \frac{1,962,800-84,000m}{36,000}=

e \large 84,000m+36,000w=1,962,800

Step-by-step explanation:

Given the following :

Budgeted amount = $1,962,800

Cost of resurfacing a mile of 2- lane road = $84,000

Salary of additional worker = $36,000

Number of miles = m

Number of workers = w

equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it the entire budget is spent ;

(Cost of a mile of 2-lane road * number of miles) = total budget

(84000m + 36000w) = 1,962,800

To make w, the subject of the formula :

36000w = 1962800 - 84000m

w = (1962800 - 84000m) / 36000

To make m, the subject of the formula :

84000m = 1962800 - 36000w

m = (1962800 - 36000w) / 84000


Related Questions

Which Expression represents the following algebraic statement?

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y.

7(x+5)-(2xy^2)
Or
7(x+5)-(2xy)^2

Answers

Answer:

7(x+5)-(2xy^2)

that's how you would write the equation

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y = (x+5)- 2xy²

What is expression?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y.

sum of x and 5 = (x+5)

product of 7 and the sum of x and 5= 7(x +5)

product of 2, x, and the square of y= 2xy²

So, The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y = (x+5)- 2xy².

Learn more about expression here:

https://brainly.com/question/24875240

#SPJ2

What is the equation of the vertical line through -8, 5

Answers

Answer:

The answer of the following questions is y=3x-19

help.please answer asap...............

Answers

Answer:

-11 1/3 If I am wrong please forgive me

Step-by-step explanation:

is 0.4 greater than or less than 0.127

Answers

0.127 is greater than 0.4 because is more.

78.57142857 round up​

Answers

Answer:

It would be 79 as a whole number.

Step-by-step explanation:

78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.

If it is 5 or greater than. You would round it to 79

If not greater than 5. You round it down to 78 still.

i need helpppp


Evaluate (3 + ((2x + 1) + x(x + 2)))
when x = 5

Answers

Answer:

49

Step-by-step explanation:

(3 + (([2 × 5] + 1) + 5(5 + 2))) = 49

3. Use the following table to determine the rate of change for the interval (1,5). HELP!

a. $17.60 per week
b. $88 per week
c. $0.05 per week
d. $22 per week

Answers

I think it a I don’t think

help me please please

Answers

Answer:

7x

3 and 6 are alternate interior angles so they are equal

Step-by-step explanation:


Mary had 3 baby lambs and 9 adult lambs. What is the ratio of adult lambs 5 points
to baby lambs? *
3:9
3:1
O
1:3

Answers

Answer: 3:9

Step-by-step explanation:

Because 3 goes first since it’s the smaller number and 9 is last

1:3 because for every 1 baby lamb there are 3 adult lambs

Which of the following statements is true of the polynomial x2 + 6x3 − 4 + 2x5?
A. The degree of the polynomial is 1.
B. The end behavior of the polynomial is similar to f(x) = –x.
C. The polynomial in standard form is 2x5 + 6x3 + x2 − 4.
D. The polynomial is increasing for all real numbers.

Answers

Answer:

The correct option is;

C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4

Step-by-step explanation:

The given polynomial is x² + 6x³ - 4 + 2·x⁵

Therefore, we have;

The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5

The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x

The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;

2·x⁵ + 6x³ + x² - 4

The polynomial decreases fox x < 0

Degree of polynomial is the highest power written in the equation

thus the correct answer is C for the question

Explanation

The equation is written in the form of lowest power to higher power x²+6x³-4+2[tex]x^{5}[/tex] The correct form is highest to lowest power 2[tex]x^{5}[/tex]+6x³+x²-4

Thus we conclude that the answer to the above question C

To know more about degree of polynomial

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Your bank account has a balance of $25. You withdraw $46. You then deposit $50. What is your new balance?

Answers

Answer:29

Step-by-step explanation:$25-$46=-21

-21+50=29

$29

25-46=-21
-21+50=29

please answer this asap​

Answers

Answer:

i think its D and if im wrong it maybe would 0or should be B

Step-by-step explanation:

i’m pretty the answer is b

is lmn a right triangle

Answers

Answer:true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

24 boys out of 64 classmates is what percent

Answers

That would be 37.5 percent

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

Ok serous question this has nothing to do with my other questions would you guys care if I committed ya know

Answers

Answer:

I don't know you but I care. I am always here to talk. For real I don't have a life. Lol

Step-by-step explanation:

Yes we would care, and please don’t do it. I know life right now is not that great, but don’t do it. Your family is going to be sad, and they are going to be going through a lot of pain. Plus life of amazing and we need to cherish every moment we have left.

The product of a number x minus 5 and three less than twice x

Answers

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

Write the following equation in slope intercept form.

7x-4y=22

y= x+

Answers

Answer:

y= -7x+22/-4

Step-by-step explanation:

Answer:

y=7/4x-11/2

Step-by-step explanation:

Move the Y and x values to separate sides

-4y=-7x+22

divide whatever it takes to make y alone (dived by -4)

y=7/4x-11/2

What is the factored form of 5x-625x^4

Answers

Answer:

5x(-125x+1)

Step-by-step explanation:

im not completely sure but yee

State whether the data described below are discrete or continuous, and explain why.

- The exact heights of different elephants. Choose the correct answer below.

A. The data are continuous because the data can take on any value in an interval.

B. The data are discrete because the data can only take on specific values.

C. The data are continuous because the data can only take on specific values.

D. The data are discrete because the data can take on any value in an interval.

Answers

Answer:

The correct answer:

The data are continuous because the data can take on any value in an interval. (A)

Step-by-step explanation:

There are two categories of data:

Discrete data: These are data that have specific values that they can take on. There are limits to what values can be assigned to such categories. for example, The number of countries in a continent, there can either be 15 countries, 50 countries 30 countries, etc. There is not a possibility of having 40.56 countries on this kind of list. hence it is a discrete dataset.

Continuous data are data that can take on any value within an interval or on a particular scale of measurement. In this example, the height of the elephant in meters can be 1.5m, 2m, 1.06m, etc. There is no limit to the possibility of the height of an elephant on a meter scale.

describe the steps needed to solve
2c +5 = C-8

Answers

Answer:

- 13

Step-by-step explanation:

Step 1:

2c + 5 = c - 8     Equation

Step 2:

c + 5 = - 8   Subtract c on both sides

Step 3:

c = - 8 - 5   Subtract 5 on both sides

Answer:

c = - 13

Hope This Helps :)

Answer:

c=-13

Step-by-step explanation:

2c+5=c−8

Step 1: Subtract c from both sides.

2c+5−c=c−8−c

c+5=−8

Step 2: Subtract 5 from both sides.

c+5−5=−8−5

c=−13

hope that helps :)

PLZ HELP, 20 points!!!
22. What is the domain of the graph?

23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!

Answers

Answer:

.

Step-by-step explanation:

Answer:

domain: all real numbers

range: y| y is greater than or equal to 5

4x - 8 < 32
what is the solution?

Answers

Answer:

x<10

Step-by-step explanation:

add 8 to both sides

4x<40

then divide by 4

x<10

The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C​

Answers

Answer:

The order of the angles of Δ ABC from smallest to biggest is

∠B < ∠C < ∠A B

Step-by-step explanation:

There is a fact about a triangle

The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angle

Let us use this fact to solve our question

In Δ ABC

∵ AB = 10 inches

∵ BC = 14 inches

∵ AC = 8 inches

→ Find the longest and shortest sides

BC is the longest side

AC is the shortest side

∵ BC is opposite to ∠A

∠A is the biggest angle in measure

∵ AC is opposite to ∠B

∠B is the smallest angle in measure

The order of the angles of Δ ABC from smallest to biggest is

   ∠B < ∠C < ∠A

The weight of eggs from a local farm are Normally
distributed with mean of 2.1 ounces and a standard
deviation of 0.25 ounces.
An egg that weighs 2.0 ounces or more is labeled large
and anything below is labeled average.
What percent of eggs from this farm are labeled as
large? Round to the nearest tenth.
Weight of Eggs
average
large
3
-2
-3
1.35
2
2.6
1.6
2.35
2.85
-1 no
1.85
2.1
Ounces
2.0

Answers

Answer:

65.5

Step-by-step explanation:

I just took the assignment on edge. Good luck

Answer:

65.5 is correct

ED2021

Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge for the bike helmet before tax?

Answers

Answer:

$20 dollars

Step-by-step explanation:

1.80 / .09 (9% in decimal form)

= 20

A company donates money to a charity every time the baseball team hits a home run. They donate $100 for every home run. Write an equation for the situation,
where y is the total amount of money donated and x is the number of home runs hit.

The equation is y=

Answers

Answer:

y = 100x

Step-by-step explanation:

Answer:

y=100x

Step-by-step explanation:

There are 6 × 1012 raindrops in one thunder cloud. Which shows what a calculator would display for the number of raindrops in 5 thunder clouds?

A
1.2E12

B
1.2E13

C
3E12

D
3E13

Answers

Answer:

The answer is D

3E13

Step-by-step explanation:

6E12 x 5 = 30E12 or 3E13

Answer:

the answer is Dplease mark brainliest grasias

translations: 1 unit left and 4 units up
F(2,-2), G(3,0), H(4,3)​

Answers

Answer:

F(-1,2), G(2,4), H(3,7)

Step-by-step explanation:

When you move left to right, it changes the x in (x,y)

When you move up and down, it changes the y in (x,y)

So, if it moves 1 unit to the left, the x decreases by 1

And if it goes 4 units up, the y increases by 4

to find 27x9 I find 27x10 and remove 1 group of 27

Answers

Answer:

yes because 10 groups 27 taking 1 group of 27 is now 9 groups of 27

10*27-27=243 is equal to 9*27=243

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