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professor190 [17]
3 years ago
11

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0
<span>A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. 
</span>4x + 7 = 3(2x − 5)
<span>4x + 7 = 6x - 15 (distributive property of multiplication)
4x - 6x = -15 - 7 (transitive property)
-2x = -22
x = 11

B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Sam's solution is incorrect, this is the correct solution
</span>5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3
Tju [1.3M]3 years ago
3 0
I hope this helps you




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You have been saving nickels, dimes, and quarters in a jar for about a year. You decide to see how much money you've saved up. W
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Answer:

x = number of nickels = 127

y = number of dimes = 156

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Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

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Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

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x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

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Multiply (4) by 20

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Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

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z= 78

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y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

6 0
3 years ago
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