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3 years ago

Danielle poured 3/4 gallon of water from a 7/8 gallon bucket. How much water is left in the bucket?

1 answer:

4 0

3/4 = 6/8 after you multiply top and bottom by 2

Subtract 3/4 from 7/8 and we get
7/8 - 3/4 = 7/8 - 6/8 = (7-6)/8 = 1/8

There is 1/8 of a gallon left

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Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

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3 years ago

A culture started with 6,000 bacteria. After 5 hours, it grew to 7,800 bacteria. Predict how many bacteria will be present after

AleksandrR [38]

Answer:

After 5 hours, the amount of bacteria increased: 7800-6000=1800

After 1 hours, the amount of bacteria increased: 1800/5=360

After 18 hours, the amount of bacteria increased: 360*18 = 6480

=> Total amount of bacteria after 13 hours: 6000+6480 =12480

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3 years ago

What is the rate of change seen in the graph below?

Harrizon [31]

Answer:

Step-by-step explanation:

the answer is 0

because it neither rises nor fall

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3 years ago

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Line $\ell_1$ is horizontal and passes through $(1,1)$. Line $\ell_2$ is vertical and passes through $(2,2)$. Find the point of

borishaifa [10]

Answer:

(2,1)

Step by step explanation:

Please find the attachment.

We have been given that line $l_1$ is horizontal and passes through point (1,1). Line $l_2$ is vertical and passes through point (2,2). We are asked to find point of intersection of line $l_1$ and line $l_2$ .

Line $l_1$ is a horizontal line so y-coordinate will be 1 for any value of x. Line $l_2$ is a vertical line, so x-coordinate will be 2 for any value of y.

Therefore, intersection point of both lines will include x-coordinate of line $l_2$ and y-coordinate of line $l_1$ that is (2,1).

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3 years ago

Express the following rate as a unit rate.

Allisa [31]

Answer:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

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2 years ago