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2 years ago

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

Mathematics

1 answer:

pishuonlain [190]2 years ago

7 0

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

$7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2}$

2) Simplify 7 × 2 to 14 .

$7x + \frac{1}{2} + 7x - \frac{14 + 1}{2}$

3) Simplify 14 + 1 to 15.

$7x + \frac{1}{2} + 7x - \frac{15}{2}$

4) Collect like terms.

$(7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )$

5) simplify.

$14x - 7$

6) Factor out the common term 7.

$7(2x - 1)$

Therefor, the answer is 7( 2x - 1 ).

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3v+4(v-2)= -29 solve for v

Lesechka [4]

Answer:

v = -3

Step-by-step explanation:

1) Expand.

3v + 4v - 8 = -29

2) Simplify 3v + 4v - 8 to 7v - 8.

7v - 8 = -29

3) Add 8 to both sides.

7v = -29 + 8

4) Simplify -29 + 8 to -21.

7v = -21

5) Divide both sides by 7.

v = -21/7

6) Simplify 21/7 to 3.

v = -3

4 0

2 years ago

True or false: The variable overhead rate variance uses the same basic formula as the labor rate variance except that the variab

Zanzabum

Answer:

True

Step-by-step explanation:

The variable overhead rate variance refers to the difference in two variables.

The Variables are

1. The actual variable manufacturing overhead

2. The expected variable overhead given the number of hours worked

Labor rate variance is evaluated by

AH(AR - SR)

AH = actual hours

AR = actual rate

SR = standard rate.

The variable overhead rate variance is also calculated the same way except that it replaces the direct labor rates with variable overhead rates

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3 years ago

Patricia goes to shop at her favourite mall for a day. She spends $103, which is 62.4 percent of the total money that she brough

ASHA 777 [7]

Answer: 210.50$

Step-by-step explanation:

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2 years ago

For a standard normal distribution (µ=0, σ=1), the area under the curve less than 1.25 is 0.894. What is the approximate percent

Nesterboy [21]

Answer:

10.6%

Step-by-step explanation:

Normal curves are symmetrical. That means that on a standard normal distribution, the area less than -1.25 is the same as the area greater than +1.25. The total area under the curve is 1, so:

P = 1 - 0.894

P = 0.106

Approximately 10.6% of the area under the curve lies below -1.25.

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3 years ago

An airplane started at point K, travelled 560 miles to point L, adjusted its route and travelled another 575 miles to point M. I

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Answer:

Step-by-step explanation:

Using the cosine theorem:

$c^{2} =a^{2} +b^{2} -abcos\beta$

$952^{2} =560^{2} +575^{2} -560*575cos\beta$

$\beta =cos^{-1} (\frac{560^{2}+575^{2}-952^{2} }{2*560*575} )$

The angle is 114.014 degrees if we substract 90 degrees it means that at point L the plane changed its angle by 24 degrees

4 0

2 years ago