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Viktor [21]
2 years ago
7

Every year Aiden uses income from his job to pay for 75% of his college tuition. Next year’s tuition will be $720 more than this

year’s, and Aiden will pay $2400. How much is this year’s tuition?
Mathematics
1 answer:
vova2212 [387]2 years ago
6 0

Answer:

$2,480

Step-by-step explanation:

Let $x be next year tuition. Aiden will pay $2,400, that is 75% of $x.

$x - 100%

$2,400 - 75%

Write a proportion:

\dfrac{x}{2,400}=\dfrac{100}{75}\\ \\75x=2,400\cdot 100\\ \\75x=240,000\\ \\x=3,200

Next year’s tuition will be $720 more than this year’s, then this year tuition is

\$3,200-\$720=\$2,480

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The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Sliva [168]

Answer:

\huge{ \boxed{ \bold{g =  - 2}}}

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

m =  \frac{y_2 -y_ 1}{x_2 -x_1 }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

\frac{3}{2}  =  \frac{5 -  - 1}{2 - g}  \\  \frac{3}{2}  =  \frac{5 + 1}{2 - g }  \:  \:  \:  \:  \:  \:  \:  \frac{3}{2}  =  \frac{6}{2 - g}  \\  \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\  - 3g = 12 - 6 \\  - 3g = 6 \\  \\  \frac{ - 3g}{ - 3}  =  \frac{6}{ - 3}  \\  \\ g =  - 2

We have the final answer as

<h3>g = - 2</h3>

Hope this helps you

7 0
1 year ago
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. Ho
disa [49]

Answer:

It would take Beth twelve minutes to wash the car herself

Step-by-step explanation:

If they do it together in 6 minutes.

& Katy can do it in 18 minutes alone

Then 18 - x = 6

replace x for twelve

18 - twelve = 6

Ans: twelve

7 0
3 years ago
I need help with my math
kherson [118]

Answer:

Ok what is the problem

Step-by-step explanation:

8 0
3 years ago
Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro
devlian [24]
Eli will finish first.

Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.

You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls  in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster. 

Hope this helped! Please mark me brainliest!
4 0
3 years ago
The sum of a number and six is eleven. Find the number.​
lisov135 [29]

Answer:

17

Step-by-step explanation:

6 + 11 = 17

Sum (addition of 2 numbers)

4 0
3 years ago
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