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Vesna [10]
3 years ago
5

Grant spent half of his weekly allowance. Then he earned $5 back by doing the dishes. What is his weekly allowance if he ended w

ith $15?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0

Answer:

Grant's weekly allowance is $20.

Step-by-step explanation:

We know that Grant ended with $15. We can say that Grant's weekly allowance is x.

x/2 + 5 = 15

Now to solve:

x/2 + 5 - 5 = 15 - 5 (subtract 5 from both sides to isolate the x/2)

x/2 = 10

x/2 * 2 = 10 * 2 (multiply both sides by 2 to isolate the x)

x = 20

Grant's weekly allowance is $20.

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Match the real-world problem to its constant of proportionality.
BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas  :   k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  x \propto y \implies  k = \frac{x}{y}

Now, for the given quantities:

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Here,k =  \frac{18.36}{3} = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,k =  \frac{4.17}{3} = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,k =  \frac{16.48}{4} = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,k =  \frac{24}{2} = 12

So, the proportionality constant is 12

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4 years ago
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