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Kitty [74]
3 years ago
11

The quotient of j and 8" can be expressed as:

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
J/8: the quotient of two numbers is one over the other, or divide.
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An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
What is 20/8 in the lowest mixed form?
Kisachek [45]

20/8 = 10/4 = 5/2

So, it's mixed form would be 2 1/2

8 0
3 years ago
Please help<br> Find the area in square units of ABC△ plotted below.
neonofarm [45]

Answer:

Use the distance formula on both points AC and AB.

<em>Distance formula is this</em><em>:</em>

<em>\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261</em>

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

the answer is 43.5

6 0
2 years ago
What is the linear function equation that best fits the data set?
slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

8 0
3 years ago
At 11:30 am the bottle is 1/4 of the way full . At what time will the bottle be 1/2 full
Marta_Voda [28]

Answer:

Step-by-step explanation:

11:35 or b

5 0
3 years ago
Read 2 more answers
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