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2 years ago

What’s the value of x

Mathematics

2 answers:

kozerog [31]2 years ago

6 0

Answer should be:

X=9.

Katyanochek1 [597]2 years ago

6 0

Answer is 9 I think

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th

Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

The 5% of 130 = £6.5
Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = $\dfrac{136.5}{14}$

The cost of each friend = £9.75

Learn more about fractions here:

brainly.com/question/78672

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4 0

1 year ago

In 5 seconds an athlete runs 40 feet. what is the average speed in miles per hour?

NikAS [45]

Answer:

12 x 40 = 480 feet per minute.

480 x 60 = 28800 feet per hour.

28800/5280 = 5.45 miles per hour.

Hope that helps.Thank you!!!

6 0

2 years ago

Read 2 more answers

Someone help with this plllzz fast

kupik [55]

Since you have the square root of x, you would need to square it to reverse the square root, and just have x. Then, you would have to square the 4 on the otherside, to get x=16

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2 years ago

9.2×10 5 bacteria are measured to be in a dirt sample that weighs 11 grams. Use scientific notation to express the number of bac

Minchanka [31]

Answer: 10 to the 10th power

Step-by-step explanation:

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1 year ago