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3 years ago

14

A student reads 3⁄5 of a book in 30 minutes. How much of the book will be read, if the student reads at the same speed for 40 mi

nutes? Write your answer as a fraction of the book.

2 answers:

Shalnov [3]3 years ago

4 0

In 30 minutes he reads 3/5 of the book
so in 1 minute he reads 3/5 / 30 = 3/150 = 1/50
in 40 minutes he will read 40 * 1/50 = 4/5

4/5 of the book

klasskru [66]3 years ago

3 0

The answer would be 24

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Meldie made a cube whose side is (3x - 2) inches. Find its volume in cubic inches.

irinina [24]

Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

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Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

$v = abc$

We can solve this.

If one side is (3x-2)in,

(3x-2)(x)(x) = v.... x are the other two sides
x^2(3x-2) = v

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

$(a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3}$

We can solve this.

(3x-2)(3x-2)(3x-2) = v
(3x-2)^3 = v.... 3x = a and -2 = b
(3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
27x^3 + 18x(2-3x) -8 = v
(27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 8
3x(9x^2 -18x +12) = v... Take 3 as common again in the brackets
3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets
3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

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If you have any questions regarding formulas or anything, comment and I will get back to you asap.

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5 0

1 year ago

What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$

Step-by-step explanation:

Given

$f(x) = 2x^2 + 3x - 1$

Required

Determine g(x), if f(x) is reflected across the y axis

<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>

<em />

In other words,

$g(x) = f(-x)$

Calculating f(-x)

$f(-x) = 2(-x)^2 + 3(-x) - 1$

$f(-x) = 2x^2 - 3x - 1$

Substitute g(x) for f(-x)

$g(x) = 2x^2 - 3x - 1$

<em>Hence;</em>

$g(x) = 2x^2 - 3x - 1$

7 0

2 years ago

Luke has 48 books. He puts 7 books in a box. How many boxes can he fill? Explain how you interpreted the remainder

Damm [24]

He can fill 6 boxes. 48 / 7 = 6R6.

I interpreted the remainder by removing the remainder to get the answer.

3 0

3 years ago

Read 2 more answers

What number can go into 2470,121 and 45<br>

Usimov [2.4K]

Answer:

Step-by-step explanation:

All of these numbers can be divided by 2, 3, 5, 7, 11, 13...

There is no whole number if you want to divide each number.

121 only goes into 1, 11, and 121. No other numbers have 11

45/2 = 22.5

45/3 = 15

45/5 = 9

2470/2 = 1235

2470/3 = 823.33333...

2470/5 = 494

121/2 = 60.5

121/3 = 40.33333...

121/5 = 24.2

4 0

3 years ago

Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map i

Lapatulllka [165]

The real distance fro the shop to the store is 24 km

<em><u>Solution:</u></em>

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

$1\ centimeter : 8\ kilometer$

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

$\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24$

Thus real distance fro the shop to the store is 24 km

3 0

3 years ago