Question

PLEASE HELP ASAP!!! (1) Jose worked 2.5 hours more than William. Together, they worked a total of 22 hours.

William worked h hours.

A: H + 2.4 = 22

B: H + (H + 2.5) = 22

C: H + ( H - 2.5) = 22

D: H + 5 = 22?

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(2) The product of 2 and the sum of a number and 8 is equivalent to 16.
Which equation models this sentence?

A: 2 + n * 8 = 16

B: n * 2 + 8 = 16

C: 8n + 2 = 16

D: 2(n + 8) = 16


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(3) Fifteen is the same as the product 3 and a number
Which equation models this sentence?


A: 15 = 3x

B: 15 = x -3

C: 15 = 3 + x

D: 15 = x / 3

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(4) Kevin gave Ben $4.90 in dimes and quarters. If 10 coins were quarters,
how many coins were dimes? Which equation models this problem?

A: 4.90 * 10 = 25d

B: 5d + 250 = 4.90

C: 25 + 5d = 4.90

D: 0.25 * 10 + 0.1 * d = 4.90


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(5)


A: 32w = 2w + w

B: w - 2w = 32

C: 2w * 2 = 32

D: 2w + w = 32

Answer 1

Part 1) Jose worked 2.5 hours more than William. Together, they worked a total of 22 hours

Let

J---------> the number of hours worked by Jose

H--------> the number of hours worked by William

we know that

J+H=22 -------> equation 1

J=2.5+H -----> equation 2

Substitute the equation 2 in equation 1

[2.5+H]+H=22

therefore

the answer Part 1) is the option

B: H + (H + 2.5) = 22

Part 2) The product of 2 and the sum of a number and 8 is equivalent to 16.

Which equation models this sentence?

Let

n--------> the number

we know that

2*(n+8)=16

therefore

the answer is the option

D: 2(n + 8) = 16

Part 3) Fifteen is the same as the product 3 and a number

Which equation models this sentence?

Let

x-------> the number

we know that

`15=3x`

therefore

the answer is the option

A: 15 = 3x

Part 4) Kevin gave Ben $4.90 in dimes and quarters. If 10 coins were quarters,

how many coins were dimes? Which equation models this problem?

Let

d-------> number of dime's coin

we know that

1 quarter=$0.25

1 dime=$0.10

so

10*0.25+d*0.10=4.90 ------> the equation that models this problem

solve for d

0.10*d=4.90-10*0.25

0.10*d=4.90-2.5

0.10*d=2.4

d=24 coins of dimes

therefore

the answer is

Part 4a) The number of dime's coin is 24

Part 4b) the equation that models this problem is the option

D: 0.25 * 10 + 0.1 * d = 4.90

Part 5) the 5th question is blank