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Combine like terms to create an equivalent expression. 1/7 - 3 (3/7n - 2/7)

Answers

Answer 1
Answer:

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▹ Answer

1 - 9/7n

▹ Step-by-Step Explanation

1/7 - 3(3/7n - 2/7)

Remove the parentheses (Distribute -3 among the parentheses):

1/7 - 9/7n + 6/7

Calculate:

1 - 9/7n

Hope this helps!

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Answer 2
Answer:

Answer:

1-9/7n

Step-by-step explanation:

(1)/(7)-3((3)/(7)n-(2)/(7) ) \n=(1)/(7)-(9)/(7)n +(6)/(7) \n=(1-9n+6)/(7) \n=(7-9n)/(7)\n=1-(9)/(7)n

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Compact and oversized tires are produced on two different machines. The table shows the number of each type of tire produced, y, depending on the number of hours, x, the machines work.

Answers

Answer:

OPTION B: 57x - 3

Step-by-step explanation:

Total tires produced is the sum of number of over-sized tires and the number of compact tires.

So, we have when x = 1, tires, y = 23 + 31 = 54

When x = 2, total tires y = 48 + 63  = 111

When x = 3, total tires y = 73 + 95  = 168

When x = 4, total tires y = 98 + 127 = 225

We can substitute the options to check which one will be the correct representation.

Option A: 55x - 1

When x = 1, y = 55(1) - 1    = 54

When x = 2, y = 55(2) - 1  = 109    $ \ne $    111

So, this option is eliminated.

Option B: 57x - 1

When x = 1, y = 57(1) - 3    =   54

When x = 2, y = 57(2) - 3  =   111

When x = 3, y = 57(3) - 3  =   168

When x = 4, y = 57(4) - 3  =   225

These values exactly match with the values from the table. So, Option B is the right answer.

Option C: 110x - 2

When x = 1, y = 110(1) - 2 = 108  $ \ne $  54

Hence, this option is incorrect.

Option D: 114x - 6

When x = 1, y = 114(1) - 6 $ \ne $  54

Hence, this option is also eliminated.

Option B is the required answer.

Answer: D

Step-by-step explanation:

the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D

Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you!

Answers

Answer:

8

Step-by-step explanation:

x² − x = 56

x² − x − 56 = 0

(x − 8) (x + 7) = 0

x = -7 or 8

x is positive, so x = 8.

Assume that you have a balance of $5000 on your Visa credit card and that you make no more charges. If your APR is 22% and each month you make only the minimum payment of 3% of your balance, then find a formula for the balance after t monthly payments.A) 5000(0.952217)t

B) 5000(1.011117)t

C) 5000(0.987783)t

D) 5000(1.048883)t

Can someone explain to me how to solve this please

Answers

Answer:

C) 5000(0.987783)^t

Step-by-step explanation:

The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.

Each month, the previous balance (B) has interest charges added to it, so the new balance is ...

balance with interest charges = B + (22%)/12×B = 1.018333×B

The minimum payment is 3% of this amount, so the new balance for the next month is ...

balance after payment = (1.018333B)(1 - 0.03) = 0.987783B

Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...

5000×0.987783^t . . . . . . . . . matches choice C

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Answers

Answer:

speed=200 m/s

Step-by-step explanation:

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Answers

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A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.​

Answers

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.
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