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Natali [406]
3 years ago
15

The denominator of a fraction is four more than the numerator. If both numerator and denominator are increased by eight, the sim

plified result is 5/6. Find the original fraction.
Mathematics
1 answer:
Naddik [55]3 years ago
6 0
The denominator of the fraction is four more than the numerator. The fraction:
\frac{x}{x+4}

If both numerator and denominator are increased by eight, the simplified result is 5/6:
\frac{x+8}{x+4+8}=\frac{5}{6} \\ \\
\frac{x+8}{x+12}=\frac{5}{6} \ \ \ |\times (x+12) \\ \\
x+8=\frac{5}{6}x+\frac{5}{6} \times 12 \\ \\
x+8=\frac{5}{6}x+10 \\ \\
x-\frac{5}{6}x=10-8 \\ \\
\frac{1}{6}x=2 \ \ \ |\times 6 \\ \\
x=12 \\ \\
\frac{x}{x+4}=\frac{12}{12+4}=\boxed{\frac{12}{16}}

The original fraction is 12/16.
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Fittoniya [83]

Answer:

<h3>x=60</h3>

Step-by-step explanation:

5=k×\frac{1}{36}

k=180

3=180×\frac{1}{x}

x=60

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2 years ago
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Here are the prices of five new pairs of hockey skates, in dollars: 59, 60, 65, 99, 175. The standard deviation is about $49. If
Phoenix [80]

Answer:

The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

Step-by-step explanation:

The prices are given to be : 59, 60, 65, 99, 175

Standard deviation = $49

Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.

But, we add a new price in the given data that is $450

\text{New standard deviation = }\sqrt{\frac{\sum (\bar{x}-x_i)^2}{n}}\\\\\bar{x}\text{ is the mean of data after adding 450 and}\\x_i\text{ are the price values of the sample data}

Hence, Standard deviation is calculated to be 139.5

Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

6 0
3 years ago
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Divide 5x2 − 7x − 6 by x − 2. <br> 5x − 5 <br> 5x + 3 <br> x − 5 <br> x + 3
Zanzabum
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Please show work! Please and thank you!
My name is Ann [436]
Question 5(A)
Answer:51
Explanation
Step 1:evaluate the power
Step2:add the numbers
Step 3:calculate the square root
Step4:reduce the fraction with 4
Step5:calculate the sum or the difference and ur final answer is 51

Question 5(B)
Answer:9/2
Explanation:
Step 1:calculate the difference
Step 2:evaluate the power
Step 3:subtract the numbers
Step 4:calculate the sum
And ur final answer is 9/2

Question 6:(A)
Answer:x=36/11
Explanation:
Step 1:distribute 4 through the parentheses
Step 2:move variable to the left hand side and change its sign
Step 3:move constant to the right hand side and Change it’s sign
Step 4:collect like items
Step 5:add the numbers
Step 6:divide both sides of the equation by 11
And ur final answer is x=36/11

Question 6(B)
Answer:x=192
Explanation:
Step 1:multiply both sides of the equation by 3
Step 2:move the constant to the right hand side and change its sign
Step 3:add the numbers
And ur final answer is x=192

Question 7
Answer B($60)
Explanation:the shape is rectangular and it is 12 feet long and the other is 5 feet wide it’s like finding the area of it so u basically need to multiply 12 by 5 and ur answer is 60

Here is the answers and the explanations step by step I hope it helps
Have a great day and stay safe

6 0
3 years ago
PLEASE HELP W/ MATH PROBLEM
Ilia_Sergeevich [38]

Answer:

11. 736080 cars //   12. 5397920 cars

Step-by-step explanation:

given total number of cars produced : 6,134,000

100% -->6,134,000

1%--> 6,134,000 /100

1% --> 61340

given big cars of America is 12%

so to find this 12% = 12 * 61340 = 736080 cars produced by America

by other manufactures =  total cars - big cars of America

                                       = 6,134,000 - 7,36,080

                                       = 5397920 cars

3 0
2 years ago
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