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3 years ago

8

Match each fraction with its equivalent decimal number.

1 answer:

Oksana_A [137]3 years ago

6 0

Changing a fraction to its decimal form can be done by long division method. Dividing the denominator by its numerator will change the fraction into decimal form. Alternatively, you can use a calculator to do that for you. Below are the fractions with their decimal forms listed:

1.) 2/5 = 0.4 (D)
2.) 7/20 = 0.35 (A)
3.) 3/25 = 0.12 (C)
4.) 7/10 = 0.7 (B)

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Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

nordsb [41]

Answer:

B

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per <u>one</u> mile.

Jasmine:

$\frac{42.5}{5} =\\\\$

$8.5$ minutes per mile

Caroline:

$\frac{26.4}{3} =\\$

$8.8$ minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

$8.8-8.5=0.3$

<u>B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.</u>

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<em>I hope this helps! Let me know if you hae any questions :)</em>

3 0

3 years ago

find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

Dmitrij [34]

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

$\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)$

Solve the above equation:

$\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\$

The roots of the polynomial are as follows:

$\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n$

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

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3 years ago

Read 2 more answers

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Gelneren [198K]

Answer:

Im pretty sure the answe is C

Step-by-step explanation:

im very bad at explaining im sorry

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3 years ago

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77julia77 [94]

Answer: 64,000

Equation: 2,000*2^(45/9)

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3 years ago

Kevin has three pieces of wood. Board A is 6 inches long, board B is 11 inches long, and board C is 4 inches long. If the full l

Alik [6]

Answer:

b. no, 6 + 4 < 11

Step-by-step explanation:

To form a triangle, longest length should be less than the sum of the two shorter ones.

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3 years ago