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2 years ago

The Martinez family walked three over five of a mile in three over eight of an hour. What is their unit rate in miles per hour?

Mathematics

1 answer:

Vikki [24]2 years ago

4 0

Answer:

three-fifths over three-eights equals one and three-fifths miles per hour

Step-by-step explanation:

The martinez family walked three over five of a mile; this means they walked 3/5 of a mile.
They walked such distance in in three over eight of an hour, this means 3/8 of an hour.

To find the rate in miles per hour, we have to divide 3/5 divided 3/8.

$\frac{3}{5} /\frac{3}{8}$

TO make division of fraction, we must invert the second fraction and multiply them:

$\frac{3}{5} *\frac{8}{3} =\frac{8}{5}$

The ratio is 8/5 miles per hour. In the answer given it is expressed as a mixed numer 1 3/5 that is equal to 8/5.

To transform a fraction to a mixed number, you have to divide numerator by denominator. Explanation is in figure attached.

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What is lim x→3 x^2 - x - 6/ x - 3

Kisachek [45]

<h3>Answer: D) 5</h3>

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Explanation:

If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first

x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator

So, $\frac{x^2-x-6}{x-3} = \frac{(x-3)(x+2)}{x-3} = x+2$

Allowing us to say,

$\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}\frac{(x-3)(x+2)}{x-3}\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}(x+2)\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 3+2\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 5\\\\\\$

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3 years ago

If 1/p+q=r and p≠-q, what is p in terms of r and q?

bekas [8.4K]

p = (1/r) - q

In order to find this, follow the order of operations to get the answer.

1/p+q = r ----> Multiply both sides by p+q

1 = r(p + q) -----> Divide by r

1/r = p + q -----> subtract q from both sides

(1/r) - q = p

5 0

3 years ago

How to divide fractions

Anna [14]

First leave the first fraction alone.

Then turn the division sign into a multiplication sign.

Flip the second fraction over ( find its reciprocal ).

Multiply the numerators of the two fractions together. This result will be the numerator ( the top part ) of your answer.

Multiply the denominators of the two fractions together. The result will be the denominator ( the bottom part ) of your answer.

Then simplify your fraction by reducing it to the simplest terms.

7 0

2 years ago

Read 2 more answers

Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christm

frez [133]

Answer:

Sally has 1,532 stickers remaining.

Step-by-step explanation:

First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:

124*14=1,736

Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:

1,736-204=1,532

According to this, the answer is that Sally has 1,532 stickers remaining.

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2 years ago

2:1 next 3 equivalent ratios are

insens350 [35]

The next 3 equivalent ratios are

4:2

6:3

8:4

10:5

Hope this helps!

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3 years ago

Read 2 more answers