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3 years ago

Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for x

Distribute: -5x + 7 + 4x = -6x + 8
Combine like terms: -x + 7 = -6x + 8
Add 6x to both sides: 5x + 7 = 8
Subtract 7 on both sides: 5x = 1
Divide by 5 on both sides: x = 1/5

Step 3: Check

Plug in x to verify it's a solution.

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

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53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

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3 years ago

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Advocard [28]

Answer:

TanA= $\frac{36}{27}$ and sinA=36/45

Step-by-step explanation:

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8 0

3 years ago

What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34

Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30 given

a1 = 6 given

t30 = 209 calculated from step 2

Sum = (a1 + t30)*n/2 Substitute

Sum = (6+ 209)*30/2 Combine like terms and divide by 2

sum = 215 * 15 Multiply

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4 0

3 years ago

Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours.

bonufazy [111]

Answer:

The question seems not to be complete, below is a possible complete question:

Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours

Answers:

Part A: She makes $29.25

Part B: She babysat for 7 hours

Step-by-step explanation:

Part A:

amount earned per hour = $6.50

Number of hours worked = 4.5 hours

1 hour = $6.50

∴ 4.5 hours = 6.50 × 4.5 = $29.25

part B:

total amount to be earned = $45.50

earning rate = $6.50 per hour

$\$6.50 = 1\ hour\\\$1 = \frac{1}{6.50}\ hour\\\therefore \$45.50 = 45.50 \times\frac{1}{6.50} \\= \frac{45.50}{6.50}\\ = 7\ hours$

7 0

3 years ago