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A house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?


Question 1: Write an equation.


Question 2: How long will the job be when both companies will cost the same amount?


Question 3: How much will they charge?

Answers

Answer 1

Answer:

BelowI hope it helps ♥

Step-by-step explanation:

1.  Equation representing when both companies will cost the same amount :

[tex]350 + 15x = 275 + 20x[/tex]

2. Let x equal the number of hours a job takes , then the first house painting company will charge 350+15x , the second house painting will charge 275 +20x. If the two companies charge the same amount , we will have;  

[tex]350 +15x = 275+20x\\\\350 - 275 = 20x - 15x\\\\75 = 5x\\\\\frac{75}{5} = \frac{5x}{5} \\\\15 = x\\\\x = 15\:hours[/tex]

3. For a job that takes 15 hours , the first company will cost ;

[tex]350 + 15(15) = 575[/tex]

For a job that takes 15 hours , the second company will cost ;

[tex]275+20x\\\\275+20(15)\\\\275 +300\\\\=575[/tex]


Related Questions

Someone please help me with this
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10
seconds after you see the lightning, you are about 2 miles from the lightning.

a. Write a direct variation equation for the relationship between time and distance.

b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.

Answers

Answer:

[tex]a.\ D=\dfrac{1}{5}t[/tex]

b. 20 seconds

Step-by-step explanation:

Let [tex]D[/tex] be the distance in miles and

[tex]t[/tex] be the time in seconds and

[tex]s[/tex] be the speed in miles/sec

Formula for Distance is given as:

[tex]Distance = Speed \times Time\\OR\\D=st[/tex]

Given that:

Distance = 2 miles and

Time = 10 seconds

Putting the values in formula:

[tex]2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec[/tex]

Answer a:

Putting the value of [tex]s[/tex] back in the formula to find the direct variation equation for the relationship between time and distance:

[tex]D=\dfrac{1}{5}t[/tex]

Answer b:

Using the above formula and putting [tex]D=4\ miles[/tex]:

[tex]4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}[/tex]

I need help on this because how do u count it without a ruler

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4 inches because its about 4 quarters long

The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
if present.

Answers

Answer:

x- axis. co-ordinate

Step-by-step explanation:


Combine Like Terms.
- x - y - 2y

Answers

Answer: -x -3y

Step-by-step explanation:

Answer:

−x − 3 y

Step-by-step explanation:

Subtract   2 y  from  − y

Verify the following: 3

−21 × −4 + −6 = −21 × −4 + (−21) × (−6)​

Answers

Answer:

the answer is -14 how about

study math next time

Answer:

Incorrect

Step-by-step explanation:

Use PEMDAS

Solve one side of the equation first

-21 × -4 + - 6

negative × negative = positive

84 + - 6

positive + negative = negative

84 - 6

78

Now solve the other side of the equation

-21 × -4 + (-21) × (-6)

negative × negative = positive

-21 × -4 + (126)

negative × negative = positive

84 + 126

210

Does 78 = 210?

No, so we can assume this equation is incorrect

It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
By dividing 35 by 7.
By multiplying 35 by 7.
By finding the unit rate and dividing it by 7.
By finding the unit rate and multiplying it by 7.

Answers

Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

Answer:

D) trust me i know

Step-by-step explanation:

on the test it say its correct. vote and help other people!

solve this multi-step equation 6-x-x=18

Answers

Answer: -6

Step-by-step explanation:

how many solutions are there to x > 3 and what are they?

Answers

Answer:

two solutions

Step-by-step explanation:

x = 3 and -1

Which equation has solution x = -3?


A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6

Answers

Answer:

D) 1/2(2x-6)=-6 = x = -3

Step-by-step explanation:

A. x = 3

B. x = 7/3

C. x = 4

D. x = -3

Solve for x:

(2 x - 6)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 6)/2 = -6 by 2:

(2 (2 x - 6))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.

(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:

2 x - 6 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

2 x - 6 = -12

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x + (6 - 6) = 6 - 12

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

2 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

2 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = -6 by 2:

(2 x)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer: x = -3

I believe the answer is D

its like a word question?
The product of negative three and a number is equal to the sum of the number and four.

Answers

Answer:

-3+x=x+4

Step-by-step explanation:

Pls Mark Brainliest

Answer:

x = -1

Step-by-step explanation:

-3×x = 4+x

-3x-x = 4

-4x = 4

x = 4 ÷ -4

x = -1

There can be only one diagram of a net associated with each three-dimensional figure. Group of answer choices True False

Answers

The answer to this is true

Jose paid 45.00$ for 5 movie tickets . EACH ticket cost the same amount . What was the cost of each movie ticket in dollars ?

Answers

Answer:

$9

Step-by-step explanation:

divide 45 and 5, you get 9

Answer:

45.00$ divided by 5.00$ is 9.00$

i hoped this helped!

Step-by-step explanation:

What is the median for the bar graph below?



2
2.5
6
3

Answers

Answer:

3

Step-by-step explanation:

The Median is the middle number. So, if there are 6 numbers, the middle or half of 6 is 3; therefore, your answer is 3

super confused, appreciate it if someone could help lol​

Answers

Answer: the 1 2 and 3

Step-by-step explanation:

Answer:

bruv edginuity sucks haha

Step-by-step explanation:

PLEASE HELP!!!
Which of the following expressions is the prime factorization of 360?

A. 2 2 • 3 2 • 5
B. 2 4 • 3 • 5
C. 2 3 • 5 • 9
D. 2 3 • 3 2 • 5

Answers

Answer:

D. 2 3 • 3 2 • 5

Step-by-step explanation:

ig I need at least 20 characters to submit my answer. :)

Answer:

its d.

Step-by-step explanation:

Which statement is true about the ordered pair (3 , 4)?

Answers

Answer:

Move three units left on the x axis and 4 units up on the y axis from the origin

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

That is because ordered pairs are written as (x,y) and for the ordered pair (3,4), 3 is x and 4 is y. The x-axis is the horizontal (left and right) line, the y-axis is the vertical line (up and down). The numbers are positive, so you go 3 units right and 4 units up.  

Do this for a brain thingy!!!!
1087^{2}-12(3)=

Answers

Answer:

1181533

Step-by-step explanation:

It's called brainliest.

You can use Math  way for that btw.

Answer:

simplifying the expression

Step-by-step explanation:

1181533

Why can’t i be normal and understand math chileee

Answers

girl same i hate math

What is f(4) for the function f(x) = 7x + 8?
f(4)=

Answers

Answer:

36

Step-by-step explanation:

you put x=4 into the equation. PLS MARK BRAINLIEST PLSSSS

The whole number 23 is an example of a prime or composite number.

Answers

Step-by-step explanation:

Hey there!

23 is a prime number.

Reason:

Prime number are those numbers which are divisible by 1 and itself.

Example: 5 is divisible by 1 and 5 only. so, it is a prime number.

Composite numbers are those numbers which are divisible by more number.

Example: 6 is divisible by 1,2,3,6 so, it is a composite number as it is divisible by others number expect 1 and itself.

Hope it helps...

23 is an example of a prime number because it has only two factors.

Hope this helps!

~Just a joyful teen

[tex](:GraceRosalia :)[/tex]

3x2 + x + 3 = 0
Solutions

Answers

Resolver la ecuación para
x
x
hallando
a
a
,
b
b
y
c
c
de la ecuación cuadrática y aplicando la fórmula cuadrática.
x
=

1

i

35
6
,

1
+
i

35
6

which of the following expressions represents the product of a number and 8

Answers

Answer:

The answer is c. 8x

It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that % of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answers

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

Write an equation for a circle given that the endpoints of the diameter are
(-8,5) and (4,-3)

Answers

Answer: (2,2)

so Using the distance formula,

d = sqrt(x2-x1)^2 +(y2-y1)^2 .

Substituting the values of x and y.

we get,

d = sqrt(-4-8)^2 +(-3-7)^2

d = 2 sqrt 61  

diameter = 2*radius

              = 2 sqrt 61

              = 2 r

              = r

              = sqrt 61

          r^2 = 61  

midpoint of the diameter is:  

Xm= 8-4 / 2

     = 2  

Ym = 7-3 / 2  

     = 2  

Hence,

The center is (2,2)  

S =4LW + 2WH; S = 96, L= 7, W= 3.
H=

Help please

Answers

Answer:

H = 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

S = 4LW + 2WH

S = 96

L = 7

W = 3

Step 2: Substitute and Evaluate for H

96 = 4(7)(3) + 2(3)H

96 = 84 + 6H

12 = 6H

H = 2

Answer:

H = = 2 H W + 4 L W

Step-by-step explanation:

Substitute the given value into the function and evaluate.

S = 4 L W + 2 W H = = 2 H W + 4 L W

S = 96 = = 2 H W + 4 L W

L = 7 = = 2 H W + 4 L W

W = 3 = = 2 H W + 4 L W

H = = 2 H W + 4 L W

I hope this helps!

Please Mark Brainliest

Sorry If I Overcomplicated it!

What is the circumference of the following circles? r=5 what is the units? _____Units​

Answers

Answer:10pi

Step-by-step explanation:

2pi(r)

Which set of ordered pairs does not represent a function?
{(7,4),(-4,1),(4, -3), (-7,7)}
{(-8, -7), (4,-2), (2,9),(-8,8)}
{(-9, -2), (8, -2), (2, -5), (-8,4)}
{(-7,5), (7,9),(-3,5),(3,3)}

Answers

Answer:

{(-8, -7), (4,-2), (2,9),(-8,8)}

what is 5 11/24-0.375+

Answers

61/12 = 5.083 is the answer.

John is driving on the highway. He begins the trip with 12 Gallons of gas in his car.The car uses up one gallon of gas every 25 miles

Answers

Answer:

300

Step-by-step explanation:

12 gal x 25 miles = 300 miles he can go before needing more gas

Choose all the numbers that are common multiples of 8 and 3.

3

12

24

38

48

72

Answers

Answer:

24, 48, and 72 are all multiples of 8

3, 12, and 24 are multiples of 3

Step-by-step explanation:

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