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3 years ago

TASK

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

Answer:

1312 quarts

Step-by-step explanation:

1 cup = 4 quarts

328 ^ 4 = 1312

SVETLANKA909090 [29]3 years ago

3 0

Answer:

82 quarts

Step-by-step explanation:

Each elf gets 1 cup of milk

Number of elves = 328

1 quart = 4 cups ⇒ 1 cup = 1/4 quart

Required volume of milk is:

328 cups = 328*1/4 quarts = 82 quarts

82 quarts of milk to be ordered

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If you bought something in Colorado for $80, you would be charged $2.32 in state sales tax. What is the state sales tax in Color

REY [17]

The state sales tax in Colorado is 2.9%.

We know that because we divide 2.32/80. We have to find out what percent the tax is of the amount paid. The answer comes to 0.029. Multiply it by 100, and you get 2.9%

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3 years ago

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What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

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

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

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3 years ago

Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8

adoni [48]

Step-by-step explanation:

- 2x-2y=-6

3x+4y=8

multiply equation (1) by 3 and equation (2) by 2

- 6x-6y=18

6x+8y=16

Add

2y=34

y= 34÷2

y=17

substitute 17 for y in equation (2)

3x+4y=8

3x+4(17)=8

3x+68=8

3x=8-68

3x=-60

x=-60÷3

x=-20

x=-20,y=17

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3 years ago

0.32 as a mixed number

torisob [31]

Answer:

Hi! The answer to your question is 0 8/25

Step-by-step explanation:

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3 years ago

2(3-x)-1.4(5-2x)=2x+5.3

Hitman42 [59]

I think the answer is : x = -5.25

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2 years ago

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