Part A: Solve −np − 90 < 30 for n. Show your work. (4 points) Part B: Solve 5m − 3h = 45 for h. Show your work. (6 points)

1 answer:

5 0

Hello there!

Part A: Solve for n; -n*p - 90 < 30
Add 90 to both sides.
-n*p < 120
Divide both sides by p.
-n < 120/p
Divide both sides by -1.
n $\geq$ 120/-p is your answer for part A.

Part B: Solve for h; 5m - 3h = 45
Subtract 5m from both sides.
-3h = -5m + 45
Divide both sides by -3.
h = (-5m + 45)/-3 is your answer for part B.

I hope this helps!

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Gina is a certain age (g). Gina's older sister is twice Gina's age. Gina's brother is half Gina's age. The sum of their ages is

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Answer:

Gina is 12 years old

Step-by-step explanation:

First, we will have to write these statements mathematically and then solve.

Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.

The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)

The next statement "Gina's brother is half Gina's age" can be mathematically written as y = $\frac{x}{2}$ ---------------------------------------(2)