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3 years ago

6

5 books with him, and he has 62 books to choose from. how many different ways can the books be selected?

2 answers:

Semenov [28]3 years ago

8 0

To choose 5 books out of 62
different ways are 62 c5

Artyom0805 [142]3 years ago

8 0

Answer: 6 471 002

Explanation:

$\textnormal {Number of ways to choose} = \cfrac{62\times 61 \times 60\times 59\times 58 }{1\times 2 \times 3 \times 4 \times 5} = 6 471 002$

The Wise Orange thinks that he should just take all the 62 books with him.

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The ratio of boys to girls in a class is 4 : 5

Fofino [41]

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

There are 9 nine students in total in the class since 4 + 5 = 9.
Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.

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3 years ago

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How many windows would Carpenter A install in 10 hours?

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3 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

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$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

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3 years ago

The graph shows the solution to a system of inequalities:

tangare [24]

Answer:

Option A. $4x+3y\leq 12$ and $x\geq 0$

Step-by-step explanation:

we know that

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The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

$4x+3y\leq 12$

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

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3 years ago

Paige used 1 1/2 cups of flour and 1/4 of butter to make 12 muffins. How much flour and butter would Paige need for 18 muffins?

maks197457 [2]

Answer:

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Step-by-step explanation:

12 divided by 2 is 6

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we are going to need half of 1 1/2 cup of flour

1 cup = 1/2

1/2 cup = 1/4

1/2 and 1/4 cup = 3/4 cup

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3 years ago

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