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larisa86 [58]
3 years ago
14

An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer: 3(500+x)=1800

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Lin's Job pays $8.25 an hour plus $10 of transportation allowance ench week. She has to work at least 5 hours a work to keep the
marshall27 [118]

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

5 0
3 years ago
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that
Nostrana [21]

Answer:

y=28.5x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}

therefore

the equation of the linear equation

y=28.5x


5 0
3 years ago
Read 2 more answers
The single equivalent discount rate of the trade discount 6/4/2 is:
Orlov [11]

Answer:

3/1

Step-by-step explanation:

Given the expression 6/4/2, we are to express as a single fraction.

6/4/2

= 6÷4/2

= 6×2/4

= 12/4

= 3/1

Hence the expression as a single fraction is 3/1

4 0
3 years ago
George bought 7.5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did Geo
lions [1.4K]
First step

12 x 1.3

Second step

15.6 x 7.5

The answer is 117 :)
6 0
3 years ago
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ΔABC is translated 6 units up and 3 units left to create ΔA′B′C′. If vertex A is located at (-1, 2), what are the coordinates of
kramer
Base in your question the triangle ABC is a triangle that is translated 6 units up and 3 units left and create a new triangle A'B'C'. So if a vertex A is located at a point of (-1,2) the possible coordinates of A' is (-4, 8) and i hope you are satisfied with my answer
8 0
3 years ago
Read 2 more answers
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