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andrew-mc [135]
3 years ago
11

Solve this equation.

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer:  a = 41/6 or a= 6 5/6

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A runner sprints 100m at 8m/s what is time?
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12.5 sec

Step-by-step explanation:

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hope this helps

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4 0
3 years ago
One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 60 minutes. How long will it take the
adelina 88 [10]
<h2><u>22 minutes 44 seconds</u></h2>

Step-by-step explanation:

1st horse time taken = 65 min/job; invert to get rate = 1/65 job/min

2nd horse time taken = 35 min/job ; invert to get rate = 1/35 job/min

Together Time taken = <em>n</em> min/job ; invert to get rate = 1/<em>n</em> job/min

------------------

Equation :-

Rate + Rate = together rate

1/65 + 1/35 = 1/n

-----------------------------

35<em>n</em> + 65<em>n</em> = 35*65

-----------------

100<em>n</em> = 2275

<em>n</em> = 22.75 minutes = <u>22 </u><u>minutes</u><u> 45 </u><u>seconds</u>

Hope it helps you...

Pls mark brainliest if it helps you...

(Answered by Benjemin)

6 0
3 years ago
The sum of 3 consecutive odd numbers is 63. what is the smallest of these numbers
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Let, the numbers = x, (x+2), (x+4)

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3 years ago
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