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2 years ago

How can you use the GCF of the numerator and the denominator to write a fraction in simplest form?

1 answer:

7 0

Take an example

14 / 20

the GCF of 14 and 20 = 2 ( 20 = 2^2 * 5 and 14 = 2*7 so 2 is the GCF)

so we can divide top and bottom of the fraction by 2 to give 7/10 = simplest form

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NEED HELP ASAP!!

BARSIC [14]

84 square inches divided by 14 inches equals 6

84 divided by 14 = s

7 0

3 years ago

Read 2 more answers

(x-2)e2/3=49 <img src="https://tex.z-dn.net/?f=%28x%20-%202%29%20%5E%7B2%20%5Cdiv%203%7D%20%20%3D%2049%20" id="TexFormula1" t

fredd [130]

$\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345$

4 0

3 years ago

True or False: The slope of the line that passes through (9, 9) and (6, 4) is 3/5.

emmainna [20.7K]

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (9, 9)

Point (6, 4)

Step 2: Find slope m

Substitute: $m=\frac{4-9}{6-9}$
Subtract: $m=\frac{-5}{-3}$
Simplify: $m=\frac{5}{3}$

6 0

2 years ago

Write the equation of the line passing through the points (−1, 2) and (3, 4)

lina2011 [118]

Answer:

2/4

Step-by-step explanation:

Using a graph, you would start at (-1,2). Next you would move up twice. Then you would move 4 lines to the right. You'll land on (3,4)

6 0

3 years ago

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c

AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0: u = 18 against Ha : u > 18 One tailed test .

2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

4 0

2 years ago