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3 years ago

How do solve this problem 2/3 (2/8 + 4/8) =

Mathematics

2 answers:

scoundrel [369]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

2/3 (2/8 + 4/8) =

First simplify what is inside the parentheses

2/8+4/8 = 6/8

Replace with 6/8

2/3 (6/8) =

Then multiply

2*6 =12

3*8 = 24

12/24

Divide top and bottom by 12

1/2

Aneli [31]3 years ago

5 0

In PEMDAS, you do what is in the parentheses first, therefore you solve (2/8 +4/8) first. You would end up with 6/8. Now you multiply 2/3 by 6/8. 2/3*6/8= 1/2 or .5. Hope this helps.

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There are 442 boy students in class

poizon [28]

Answer:

520

Step-by-step explanation:

This problem is

boys + girls = total

Boys = 442

Girls = 15% of the total

Therefore, substituting in, gives us:

442 + .15t = t, where t is total

Then 442 = .85t and

t = 520

5 0

3 years ago

Solve for x. −8 = 2/3x A) −6 B) −9 C) −12 D) −24

Reil [10]

Answer:

C. -12

Step-by-step explanation:

divide each side by 2/3

2/3x ÷ 2/3 = x

-8 ÷ 2/3 = -12

x = -12

7 0

4 years ago

180=112+9x+5. Whats the value of X and why?

vovangra [49]

Answer:x=7

Step-by-step explanation:

180=112+9x+5

Collect like terms

180-112-5=9x

63=9x

Divide both sides by 9

63/9=9x/9

7=x

x=7

5 0

4 years ago

Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 8 minutes to fill the swimmi

tester [92]

Answer:

The rate the swimming pool is filled is 9 gallons of water per minute

Step-by-step explanation:

Let's review the information provided by Ronald to us to help him to find the answer to the question:

Time it takes to fill the swimming pool = 8 minutes

Amount of water the swimming pool can hold = 72 gallons

2. At what rate does the swimming pool fill, in gallons per minute?

Rate the swimming pool is filled = Amount of water the swimming pool can hold /Time it takes to fill the swimming pool

Replacing with the real values, we have:

Rate the swimming pool is filled = 72/8 = 9 gallons of water per minute

4 0

3 years ago

Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot

Lady_Fox [76]

In order to solve this problem, you need to use a geometric series:
$S_{n} = \frac{ a_{1}(1 - r^{n}) }{1 - r}$
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 $S_{n} = \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}$
= 219783.60 $

Luke's total earnings in five years are 219783.60 $.

6 0

3 years ago