A town's total allocation for firefighters’ wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation

Answers

Answer 1

Answer:

10

Step-by-step explanation:

budget (b) = 600,000

cost per firefighter (c) = 40,000+20,000 = 60,000

total amount of firefighters (t) = b/c

t = 600,000/60,000 = 10

Answer 2

______________________________

N = NumberB = BudgetBPP = Budget Per Person

N = B ÷ BPP= $600,000 ÷ $60,000= 10 Firefighters

______________________________


Related Questions

3.Mr. Lewis is buying art supplies for his students. For this project, he can spend no more than $50.00.
He has to buy one quart of paint for $8 and then one art kit for each student. The kit costs $3 each.
How many students can do this art project?

Answers

Answer: 14 students

Step-by-step explanation:

50,00-8.00= 42.00       42.00/3.00=14.00

Answer:

Step-by-step explanation:

Please helpppp
Find the value of x. Your answer must be
Exact

Answers

Answer:

x = 8

Step-by-step explanation:

sin (30) = 4/x => solve for x.

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:

[tex]sineX=\frac{opposite}{hypotenuse}[/tex]

Insert the values:

[tex]sin30=\frac{4}{x}[/tex]

Multiply both sides by x:

[tex]x(sin30)=x(\frac{4}{x} )\\\\x*sin30=4[/tex]

Divide both sides by sin30°:

[tex]\frac{x*sin30}{sin30} =\frac{4}{sin30}\\\\x= \frac{4}{sin30}[/tex]

Insert the value of x into a calculator:

[tex]x=8[/tex]

OR:

The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:

[tex]long.leg=short.leg*\sqrt{3}\\\\hypotenuse=short.leg*2[/tex]

The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:

[tex]h=4*2\\\\h=8[/tex]

Therefore, the value of x is 8.

:Done

What is the slope of the line through (-9,6)(−9,6)

Answers

Answer:

Well I think It's undefined

Step-by-step explanation:

m =  y2 - y1/x2 - x1

= 6-6/-9-(-9)

= 6-6/-9+9

m = 0/0

Answer:

slope is indeterminate

Step-by-step explanation:

Given (- 9, 6) and (- 9, 6) ← that is a single point

No line is formed by a point , thus the slope is indeterminate

Place the numbers in the table to order them from least to greatest.

-14/3 -4 -3.95 -13/3 -4.25

Answers

Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95

hope this helped! :)

Answer:

-14/3,-13/3,-4.25,-4,-3.95

Step-by-step explanation:

what is the value of k
-3(k+7)- 5k +4 = 23
a.) k=5 b.) k=-1 c.) k=5 d.)k=1

Answers

Answer:12.567

Step-by-step explanation:

4(х – 1) = 3х – 1
what is x

Answers

Answer:

x=3 hope I helped you! :)


Erika bought a piece of furniture for $450. If
the sales tax was 6.25%, how much did she
pay in sales tax?

Answers

Answer:

$28.13

Step-by-step explanation:

english: 6.25% of $450

math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded

There are 27 cupcakes. Nine are chocolate, 7 are
vanilla and the rest are strawberry. What is the
ratio of chocolate & strawberry cupcakes to
vanilla & chocolate cupcakes?

Answers

Answer:

9/11 = 7/9

Step-by-step explanation:

9 are chocolate

27 - 16 = 11

7 are vanilla

20:16

Step-by-step explanation:

9 chocolate

7 vanilla

11 strawberry

9+11=20, 9+7=16

Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.

Hint: Use areas of triangles...A=1/2bh

Answers

Answer:

[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

Can someone plz help me on mixed numbers plz

Answers

Answer:

The answer 3/4

Step-by-step explanation:

Answer:

\frac{3}{4}

[tex]convert \: the \: mixed \: numbers \: into \: a \: fraction frac{9}{4} - \frac{3}{2}

applying the fractions formula for subtraction

(9 \times 2) - (3 \times 4) \\ 4 \times 2 \\ = 18 - 12 \\ 8 \\ = \frac{6}{8} \\ then \: diide \: each \: number \: by \: 2 \: and \: get \\ \: \frac{3}{4}

Charles has 9 times as many red marbles as blue marbles.
If he has 288 more red than blue marbles, how many red marbles does
he have?

Answers

Answer:

314 red marbles

Step-by-step explanation:

Red = r, blue = b,

r = 9br = b + 288

Substitute:

9b = b + 2888b = 288b = 288/8b = 26

Red marbles:

r = 288 + 26 = 314

Work out the value of angle x.
x
110%
Help:(

Answers

Answer:

40°

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 110 = 70

As it's an isosceles triangle the opposite angles are the same

70 + 70 = 140

180 -140 = 40

Answer:

Step-by-step explanation:

180-110=70

x+70+70=180

x=180-140=40°

Easy question pls anwser

Answers

Answer:

A, C, D

Step-by-step explanation:

Since 15 is a positive integer, it can be represented in positive situations.

15 students add classes to schedule. = 15

15 points are taken away. = -15

15 point are given. = 15

15 dollars has been added to your salary = 15

15 dollars have been taken from your salary = -15

Answer:

a,b,c

Step-by-step explanation:

how do you simplify -1/2 (-5/6 + 1/3)?​

Answers

Answer:

answer is 1/4

.... .. . ...... .

:-))

hope it helps you

I need help I will give brainiest​

Answers

Answer:

The one on top is no solution and the one on bottom is one solution

Answer:

the top one has no solution

Step-by-step explanation:

a train travels 120 km in 2 hours and 30 miniutes. what is the average speed in km/h ?​

Answers

Answer:

120/2.5 = 48

48 km/hr

Step-by-step explanation:

Can someone help please?

Answers

Answer:

y = 1.5x + 1

Step-by-step explanation:

In 5 minutes, a data entry clerk types 11 14 pages of
data. At this rate, how many pages can she type per
minute?
She can type 2.25

Answers

Answer:

Probs tbh

Step-by-step explanation:

Lol

WILL MARK YOU BRAINLIEST

Answers

Answer:

15) The equation to find the sum of interior angles is

(n - 2).180

which means that a polygons interior angles will always be a multiple of 180 because they are multiplied by it.

How can you determine whether salt water is a solution or a compound?

Answers

Answer:

In the comments

Step-by-step explanation:

Helppppp me thank you

Answers

Answer:

y = 5/6x + 4

Step-by-step explanation:

y = mx + b

b = 4 because when x = 0, y = 4

m  = (y2 -y1) / (x2 - x1)

where two points on the equation are (x1, y1) & (x2, y2)

Let's pick points (6,9) & (-6,-1)

m = (-1 - 9) / (-6 - 6)

m = -10 / -12 = 5/6

Problem #4 My teacher said that for every student who earned an A on the last
quiz, three students earned a B. If four students earned an A, how many earned a
B? Why? Explain.


Answers

Answer:

12

Step-by-step explanation:

We can write the following ratio

1:3 (for every student who gets an A 3 gets a b)

We then can write a new ratio

4:x

We can solve this ratio by multiplying the original ratio by 4

4:12

This means that 12 people earned an B

SUPER EASY FOR POINTS!!!!solve: x-3=3x-2

Answers

Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

2

= -0.5

can someone help i know you looking

Answers

Answer:

A

Step-by-step explanation:

We know a number is an expression when it is:

1) NOT greater/ less than something else

2) NOT equal/ not equal to something else

The only answer choice that satisfies the above is A.

What are the steps for simplifying an expression with exponents

Answers

Answer:

Step-by-step explanation:

1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2- the exponent rule to remove grouping if the terms are containing exponents.

3- Combine the like terms by addition or subtraction.

4- Combine the constants.

Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations) Pencils: 0.75 each erasers: 0.25 each

Answers

Answer:

1.25 is what she spent so she got 5 pencils

Step-by-step explanation:

Please answer these for a lot of points don’t scam me or I will report you a lot!

Answers

Answer:

t = total money spent

t = $2.99g + $3.25c

for b just plug in g and c

$2.99(7.9) + $3.25(4)

if you put it into a calculator you get that he spent a total amount of $36.62 for the 7.9 gallons of gas and the 4 cans of oil. (:

Answer:

A=45 + 15 + 30 = 90 B=15 (for both spaces) C= Pencils=3 boxes a crayons=1 erasers per bag=2 D= 12 pencils in a pack and 3 in a supply kit.

Step-by-step explanation:

That's it!

Given M BC equals 38° and M

Answers

=62 the arcs of the angle are subtracted and divided by 2

The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?

Answers

Answer:

108 degrees difference.

Step-by-step explanation:

63+45=108

Answer:

108

Step-by-step explanation:

45--63=108

Hope you have a great day!

What are the 5 positive integers that have a mode of 2 and 4, a median of 4 and a mean of 5

Answers

Answer:

10 i belive

Step-by-step explanation:

Hence, the five positive integers are 2, 2, 4, 4, 13.

What is a mean , median and mode?

Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.

Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.

Step by Step Solution:

According to the question , it can be concluded that the total no. of observations are 5.

So , Let n=5

Let  the integers be a, b, c, d and e

The question says that mode(s) are 2  and 4.

This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.

Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.

Hence , it becomes , a=2 , b=2 , c=4 , and d=4

Hence we can say that out of five required integers ,four of them are 2 and 4.

Further , we are given that mean is 5.

therefore , using formula:

Mean = Sum of Observations / Number of observations(n)

Mean=  (a+b+c+d+e) / 5

5 = (2+2+4+4+e) / 5

5 = (12+e)/5

Multiplying both sides by 5 , we get :

25 = 12+e

e=25-12

Hence , e = 13

So,  the five positive integers are 2, 2, 4, 4, 13.

Learn more about Mean , Mode and Median at:

https://brainly.com/question/12051754

#SPJ2

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