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2 years ago

On a map, 2 inches represent 35 miles. How many inches would 105 miles be

Mathematics

1 answer:

Genrish500 [490]2 years ago

7 0

Answer:

6 inches

Step-by-step explanation:

105÷35=3

3x2=6

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GrogVix [38]

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A 45/28

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Find the area of trapezoid LMNO. Round your answer to the nearest tenth if

Nina [5.8K]

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A=a+b

Step-by-step explanation:

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PLEASE HELP!!!! Identify the slope that goes through the two given coordinate points (-3,0) (3,2)

Serjik [45]

when trying to find the slope of two given points use the formula m= y2 -y1/ x2-x1

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3 years ago

A number added to its reciprocal is 2<img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B20%7D" id="TexFormula1" title="\frac{9}{

brilliants [131]

The number is $\frac{49+3\sqrt{89}}{40}$ OR $\frac{49-3\sqrt{89}}{40}$

Step-by-step explanation:

The reciprocal of a number means

Switch the numerator and the denominators of the number
The product of a number and its reciprocal is 1
The reciprocal of n is $\frac{1}{n}$

Assume that the number is x

∵ The number is x

∴ Its reciprocal is $\frac{1}{x}$

- Add the number and its reciprocal and equate the sum by $2\frac{9}{20}$

∵ $x+\frac{1}{x}=2\frac{9}{20}$

- Change the mixed number to an improper fraction

∵ $2\frac{9}{20}=\frac{(2)(20)+9}{20}=\frac{49}{20}$

∴ $x+\frac{1}{x}=\frac{49}{20}$

- Multiply the two sides by x

∵ $x(x)=x^{2}$

∵ $\frac{1}{x}(x)=1$

∵ $\frac{49}{20}(x)=\frac{49}{20}x$

∴ x² + 1 = $\frac{49}{20}$ x

- Subtract both sides by $\frac{49}{20}$ x

∴ x² - $\frac{49}{20}$ x + 1 = 0

Now use your calculator to solve it and find the values of x

∴ $x=\frac{49+3\sqrt{89}}{40}$ and $x=\frac{49-3\sqrt{89}}{40}$

To check your answer add the number to its reciprocal the answer must be $2\frac{9}{20}$

∵ $\frac{49+3\sqrt{89}}{40}+\frac{40}{49+3\sqrt{89}}=2\frac{9}{20}$

∵ $\frac{49-3\sqrt{89}}{40}+\frac{40}{49-3\sqrt{89}}=2\frac{9}{20}$

The number is $\frac{49+3\sqrt{89}}{40}$ OR $\frac{49-3\sqrt{89}}{40}$

Learn more:

You can learn more about the numbers in brainly.com/question/10736268

#LearnwithBrainly

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3 years ago

A recipe to make 4 pancakes calls for 6 table spoons of flour.

Natalija [7]

Answer: 15 tablespoons of flour

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