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3 years ago

Answer choices: 16/3 40/9 4/9 4/3

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of $x$ , we can rewrite the equation replacing the variables.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2$

Now solve. While solving, remember the order of operations.

$\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444$ or $\frac{4}{9}$

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Solve x and y please need it for tomorrow

Evgen [1.6K]

Solve for x by cross multiplying then isolating the variable:
$\frac{9}{15}= \frac{x}{10}$ cross multiply
15x=90 Isolate the variable
x=6
Solve for y by cross multiplying then isolating the variable:
$\frac{9}{15} = \frac{6}{y}$ cross multiply
9y=90 Isolate the variable
y=10

4 0

3 years ago

Read 2 more answers

√(5-2x) - √(2-x) = 1

Eva8 [605]

Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2

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3 years ago

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of

alisha [4.7K]

You will have to go step by step

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3 years ago

What is the sum of series is numbers 64&66 ?<br> Using the summation notation

iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

$6(2)^{1-1}=6$

$6(2)^{2-1}=12$

$6(2)^{3-1}=24$

$6(2)^{4-1}=48$

$6(2)^{5-1}=96$

$6(2)^{6-1}=192$

$6(2)^{7-1}=384$

$6(2)^{8-1}=768$

$6(2)^{9-1}=1536$

$6(2)^{10-1}=3072$

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

$12(-\frac{1}{2})^{0}=12$

$12(-\frac{1}{2})^{1}=-6$

$12(-\frac{1}{2})^{2}=3$

$12(-\frac{1}{2})^{3}=-1.5$

$12(-\frac{1}{2})^{4}=0.75$

$12(-\frac{1}{2})^{5}=-0.375$

$12(-\frac{1}{2})^{6}=0.1875$

$12(-\frac{1}{2})^{7}=-0.0078125$

$12(-\frac{1}{2})^{8}=0.046875$

$12(-\frac{1}{2})^{9}=-0.0234375$

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

4 0

3 years ago

Roger ran eight laps around a mile track during PE on Monday. Answer each question in the space provided. Part A How many feet d

Gre4nikov [31]

Answer:

A) 10,560 ft. B) 32 more laps.

Step-by-step explanation:

A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.

B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.

5 0

3 years ago