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stepladder [879]
3 years ago
8

Ben strikes out 90 times in 340 at bat. What percent of the time does Ben strike out

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

percentage=26.47\%

Step-by-step explanation:

Ben\ strikes\ in\ 340\ efforts=90\\\\So\ fraction\ he\ can\ strike\ 1\ effort=\frac{number\ of\ times\ he\ strikes}{total\ efforts}\\\\So\ fraction\ he\ can\ strike\ in\ 1\ effort=\frac{90}{340}\\\\So\ fraction\ he\ can\ strike\ in\ 1\ effort=\frac{9}{34}\\\\He\ can\ strike\ in\ 100\ efforts=\frac{9}{34}\times 100\\\\percentage=26.47\%

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the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
2 years ago
brenda savings account principal 850, 5.5% annual interest rate and is compounded quarterly for 1 year. what is the compound int
Sedbober [7]
A = $ 861.69

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
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A = 850(1 + (0.055 × 0.25)) = 861.6875 
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The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
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Explanation;
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Answer:

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