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KATRIN_1 [288]
3 years ago
14

The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?

Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

   33 1/3 percent smaller

Step-by-step explanation:


The number a exceeds the number b by 50 percent.

a = b + b*.5

a = b(1.5)

Divide by 1.5

a/1.5 = b

2/3a =b



We want to find (a-b)/a  to find the percent decrease

                           (a-2/3a)/a *100percent

                             (1/3a)/a* 100 percent

                                  1/3 * 100 percent

                                     33 1/3 percent smaller

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alukav5142 [94]

As there are multiple answers going with trial and error seems good in this case.

A

5.00 + 5.00 + 5.00 + 5.00 = 20.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5

20.00 + 31.5 = 51.5

B

5.00 + 5.00 + 5.00 + 5.00 = 20.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00

20.00 + 35.00 = 55.00

C

5.00 + 5.00 + 5.00 = 15.00

3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5

15.00 + 31.5 =46.5

Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn't understand if $156.5 is equivalent to $156.50 that would mean A is correct.

Always recheck your answers and good luck,

Jon

6 0
3 years ago
3 more than a number x
balu736 [363]
X+3 is the answer.zz
5 0
3 years ago
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Which expression is equivalent to this expression?<br><br> 3/4 (4h – 6)
sergij07 [2.7K]
Answer:
3h-9/2
Step-by-step explanation:
3/4(4h-6)=3h-18/4
simplify
3h-9/2
7 0
3 years ago
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mart [117]

Answer:a

Step-by-step explanation:

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6 0
3 years ago
Can someone help me ?
antoniya [11.8K]

Answer:

AC is four times longer than DF

Step-by-step explanation:

AC is the diameter of the circle E and DE is the radius of the circle E

AC = 2 x DE

DE is the diameter of the circle F and DF is the radius of the circle F

DE = 2 x  DF

AC = 2 x DE

AC = 2 x (2 x DF)

AC = 4 x DF

So AC is four times longer than DF

5 0
3 years ago
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