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Igoryamba
2 years ago
6

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?

Mathematics
1 answer:
pickupchik [31]2 years ago
6 0

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

<u>d = 23</u>

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

<u>s = 32</u>

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Which statements are true about the solution 2 &lt; x - 7 and its graph? Check all that apply.
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O   x >9

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Step-by-step explanation:

<u><em>Explanation:-</em></u>

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<em>⇒   2 + 7 < x -7 +7</em>

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Answer:

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Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

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We have formed the system of equations:

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3x + 5y = 185        [2]

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x = 20

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

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