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emmainna [20.7K]
3 years ago
7

Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4

times
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

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Need help with 2,3,4
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Answers:

In these exercices are ilustrated the representations of the fractions

2) Firstly, we have 3 equal segments, each one representing \frac{1}{4}, hence:

\frac{3}{4} is <u>3</u> copies of \frac{1}{4}

Let's prove it, taking into account we are adding fractions with the same denominator:

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}

There are <u>4</u> equal parts that make a whole

Four copies of <u>\frac{1}{4}</u> make \frac{4}{4} or <u>1</u> whole

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1

3) Here we have a line divided into four segments, each one of \frac{1}{5}. Hence:

This is \frac{4}{5} of a line. \frac{4}{5} is <u>4</u> lengths of  \frac{1}{5}

\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}

If we draw one more \frac{1}{5} we will have \frac{5}{5} or 1 whole.

Then:

<u>5</u> lengths of \frac{1}{5} make \frac{5}{5} or <u>1</u> whole.

4) In this part the answer is in the attached image. If we have two equal segments, each one of \frac{1}{3} we will have as a result \frac{2}{3}.

If we add another \frac{1}{3} segment, we will have three segments of \frac{1}{3}, having as a result \frac{3}{3}=1

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What is the inverse of the equation y = 3x + 2?
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=================================================

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

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x = 3y + 2 ... x and y swapped

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3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

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Which of the following expressions is equivalent to the radical expression?
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Answer:

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Step-by-step explanation:

\Sigma_{k=1}^{16} (k - 5)^2 \\= (1- 5)^2 +  (2- 5)^2 +  (3- 5)^2 + \\ (4- 5)^2 +  (5- 5)^2 +  (6- 5)^2 \\+  (7- 5)^2 +  (8- 5)^2 +  (9- 5)^2 \\+  (10- 5)^2 +  (11- 5)^2 +  (12- 5)^2 \\+  (13- 5)^2 +  (14- 5)^2 +  (15- 5)^2\\ +  (16- 5)^2 \\\\=(-4)^2 +  (-3)^2 +  (-2)^2 +  (-1)^2 +  (0)^2 \\+  (1)^2 +  (2)^2 +  (3)^2 +  (4)^2 +  (5)^2 \\+  (6)^2 +  (7)^2 +  (8)^2 +  (9)^2 +  (10)^2 + \\ (11)^2 \\\\=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121

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