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3 years ago

Devaughn is 9 years younger than sydney. The sum of their ages is 45. What is sydneys age?

2 answers:

8 0

Sydney's age is 27 years of age. A way to do this is by subtracting 9 from 45 to get 36 and dividing it by 2 which gets you 18 and then adding 9 to that number since 18 is how old Devaughn is

ololo11 [35]3 years ago

3 0

X+x-9 = 45
2x-9 = 45
2x=54
x=27

Sydney is 27.

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Which of the following options is an equivalent function to f(x) = 4(3)2x?

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Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

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Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

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Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

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