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Mkey [24]
3 years ago
5

Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in widt

h, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

Volume = 960in^3

Step-by-step explanation:

Given

Empty Tank

Length = 24in; Width=10in; Height = 12in

When filled with water, the height is:

Height = 8in

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

H = 12in - 8in

H = 4in

The volume of water to full the tank is then calculated as:

Volume = Length * Width * H

Volume = 24in * 10in * 4in

Volume = 960in^3

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3 years ago
Find point G on AB such that the ratio of AG to GB is 3:2.
lora16 [44]

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

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5 0
2 years ago
Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
ExtremeBDS [4]
Assuming your numbers are rounded to the nearest km, the minimum area will be ...
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And the maximum area will be ...
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_____
When a number is rounded to 6 km as the nearest km, its value may actually be anywhere in the range 6 km ± 0.5 km. If you really want to get technical about it, the ranges of possible dimensions are [5.5, 6.5) km and [10.5, 11.5) km, and the range of possible areas is [57.75, 74.75) km².
3 0
3 years ago
Solve |-x + 4 | = | 2x - 2| by graphing<br> P/s: if possible show me how to do it T-T
sertanlavr [38]
I always like to start by removing the absolute value signs. Solving the two equations, -x+4 = 2x-2 we get 6 = 3x, x = 2
If we test ±2 we get the following:
x = 2; | -(2) + 4 | = | 2(2) - 2 |, | 2 | = | 2 |, 2 = 2
Now we test
X = -2; | -(-2) + 4 | = | 2(-2) - 2 |, | 6 | = | -6 |, 6 = 6
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4 0
3 years ago
What's the answer to this question -16-4
Finger [1]
-16 - 4 = -1(16 + 4) = -1(20) = -20

Hope that helped :)
4 0
4 years ago
Read 2 more answers
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