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Yuliya22 [10]
2 years ago
10

PLEASE HELP!! Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply. A. Divide both sides of the equation by

7/8 B. subtract 1/2 from both sides of the equation C. use the LCD of 2 to combine like terms D. divide both sides by 6/7 E. multiply both sides by 7/6
Mathematics
2 answers:
Dimas [21]2 years ago
7 0

Answer:

The correct options are:

B. subtract 1/2 from both sides of the equation.

D. Divide both sided by 6/7

E. multiply both sides by 7/6

Step-by-step explanation:

Consider the provided equation.

\frac{6}{7}x+\frac{1}{2}=\frac{7}{8}

Subtract 1/2 from both sides of the equation.

\frac{6}{7}x+\frac{1}{2}-\frac{1}{2}=\frac{7}{8}-\frac{1}{2}

\frac{6}{7}x=\frac{3}{8}

Multiply both the sides by 7/6.

\frac{6}{7}x\times \frac{7}{6}=\frac{3}{8}\times \frac{7}{6}

x=\frac{7}{16}

Now consider the provided options.

Hence, the correct options are:

B. subtract 1/2 from both sides of the equation.

D. Divide both sided by 6/7

E. multiply both sides by 7/6

Guest
1 year ago
edge 2020
Anon25 [30]2 years ago
5 0

Answer:

B. first step

6/7x=7/8-1/2

c. second step

6/7x=7/8-4/8=3/8

d. and e are the same

x=3/8x7/6

Step-by-step explanation:

Guest
1 year ago
wrong
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The <u>correct answer</u> is:

Matthew's rate is higher by $50 per month.

Explanation:

We know that Christopher's rate is $550 per month.

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Using the first two points, we have:
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To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

m=\frac{5400-3600}{9-6}=\frac{1800}{3}=600

Matthew's rate is $600 per month.
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2 years ago
PATS, PETE AND KOFFI ANNUAL SALARIES AGGREGATE TO 200,000.00 A YEAR PETE MAKES $11000.00 MORE THAN KOFFI AND PAT MAKES $1000.00
grandymaker [24]

Answer:

Koffi's monthly salary: $3500 ($42000 annually)

Pete's monthly salary: $4416.7 ($53000 annually)

Pat's monthly salary: $8750 ($105000 annually)

Step-by-step explanation:

Let x represent Pat's annual salary

Let y represent Pete's annual salary

Let z represent Koffi's annual salary

According to the question, their annual salaries sum up to$200000 i.e. x + y + z= $200000

Pete makes $11000 more than Koffi anually means that y = $11000 + z

Pat makes $1000 less than twice (×2) of Pete's annual salary i.e. x = 2y - $1000

Hence, we have 3 equations:

(1)..... x + y + z= $200000

(2).... y = $11000 + z

(3).... x = 2y - $1000

First, we substitute y into equation (3) i.e.

x = 2(11000 + z) - 1000

x = 22000 + 2z - 1000

x = 21000 + 2z............ (4)

We then insert equations (4) and (2) into equation (1) to get z:

x + y + z = 200000

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4z = 200000 - 32000

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Hence, z (Koffi's) annual salary is $42000.

To get y, we substitute z in equation (2).

y = 11000 + z

y = 11000 + 42000

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Hence, y (Pete's) annual salary is $53000

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200000 - 95000 = 105000

Hence, x (Pat's) annual salary is $105000.

In order to get the monthly salary of each individual, we divide their annual salary by 12:

Koffi (z) = 42000/12 = $3500

Pete (y) = 53000/12 = $4416.7

Pat (x) = 105000/12 = $8750

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