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arsen [322]
3 years ago
12

What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1 - 15/100 = 1 - 0.15 = 0.85

Decrease of 16%

1 - 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

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<img src="https://tex.z-dn.net/?f=12%20%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%202" id="TexFormula1" title="12 \frac{1}{3} \div 2" alt="1
aev [14]

Answer:

37/6

Step-by-step explanation:

Simplify the following:

(12 + 1/3)/2

Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:

((3×12)/3 + 1/3)/2

3×12 = 36:

(36/3 + 1/3)/2

36/3 + 1/3 = (36 + 1)/3:

((36 + 1)/3)/2

36 + 1 = 37:

(37/3)/2

37/3×1/2 = 37/(3×2):

37/(3×2)

3×2 = 6:

Answer: 37/6

3 0
3 years ago
It took 2/3 of an hour to complete her science homework. It took Bethany 3/4 of the amount of time to do her math homework as he
SOVA2 [1]
We know there are 60 minutes in an hour.  To find 2/3 of an hour we divide 60/3 to find 1/3 and multiply by 2 so:
60/3 = 20
20*2 = 40 minutes (which is 2/3 of an hour) to do science

We do the same thing with the 40 minutes.  To find 1/4 of 40 minutes we divide 40 by 4 and then multiply it by 3 to get 3/4 so:

40/4 = 10
10*3 = 30 minutes

Then subtract the times 40-30 = 10 minutes

It took her 10 more minutes to complete her science homework.

Hope that helps


3 0
3 years ago
How do you do a ratio tape diagram
sp2606 [1]
15 degrees hope this helps mark as brainliest
7 0
3 years ago
Helo asap !! will get branliest.​
Dvinal [7]

Answer:

1/25

Step-by-step explanation:

= 5^4/5^6

= 1/5^6-4

= 1/5^2

= 1/25

hope it helps!

8 0
3 years ago
Read 2 more answers
How to solve the exponential equation for 3^k2 • 3^-k+2 = 81
wariber [46]

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

            <u>    - 2   - 2</u>

             k = 2

6 0
3 years ago
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