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e-lub [12.9K]
2 years ago
9

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Mathematics
1 answer:
Effectus [21]2 years ago
8 0

Answer:

<h3>x = 27</h3>

Step-by-step explanation:

Given the expression {2x^{\frac{5}{3} }-22 = 464, we are to find the value of x in the expression. This is as shown below;

{2x^{\frac{5}{3} }-22 = 464

add 22 to both sides

{2x^{\frac{5}{3} }-22 = 464+22\\\\

{2x^{5/3} =486

divide both sides by 2

\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243

raise both sides to the power of 3/5

(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27

Hence the value of x is 27

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What is the range of the data? 2,8,7,8,6,15,6,3,8
creativ13 [48]

Answer:

13

Step-by-step explanation:

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3 years ago
Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 434 pounds of apples, 514 cups of f
Tamiku [17]

This question was not written properly

Complete question;

Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

Answer:

To serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

Step-by-step explanation:

The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

For Apples

Serving for 6 = 4 3/4 pounds of apples

Serving for 15 =

= 15 × 4 3/4 pounds/6

= 11 7/8 pounds of apples

For flour

6 servings = 5 1/4 cups of flour,

15 servings =

15 × 5 1/4 cups/6

= 13 1/8 cups of flour

For Margarine

6 servings = 1/6 cups of margarine

15 servings =

= 15 × 1/6 cups/6

= 5/12 cups of margarine

For Sugar

6 servings = 2 7/8 cups of sugar

15 servings =

15 × 2 7/8 cups/6

= 7 3/16 cups of sugar

For Cinnamon

6 servings = 2 teaspoons of cinnamon

15 servings =

15 × 2/6

= 5 teaspoons

Therefore, to serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

5 0
3 years ago
When a figure is dilated, the resulting figure is always (5 points)
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Answer:

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Step-by-step explanation:

first find f(-3)

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The find g(f(-3) = g(14)

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