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3 years ago

11

Amanda has 4 liters of juice and some glasses. She will pour 1/4 liter of juice into each glass. What is the total number of gla

sses Amanda can fill with the juice?

1 answer:

scZoUnD [109]3 years ago

8 0

Answer:

16 glasses

Step-by-step explanation:

If 1 glass = 1/4 liter of juice

then 16 glasses = 4 liters of juice

because 4 divided by 1/4 = 16

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Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?

Nataly_w [17]

Answer: 1,356

Step-by-step explanation:

It is 1200 increased by 13%

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Jasmine is 12 years old. Her father is three times older. How old is Jasmine’s father?

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Step-by-step explanation:

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4 years ago

Read 2 more answers

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

3 years ago

86 is 45% of what number

Alik [6]

Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:

86/x = 45/100

86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9

Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.

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4 years ago

what is the equation of the line passing through the point (4,1) that is parallel to the line with the equation 6x - 3y = 21

Rashid [163]

The correct answer is A hope this helps

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