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ziro4ka [17]
4 years ago
15

The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat

er (cups) 2 5 3 7.5 5 12.5 8 20 Which statement applies to the ratio of rice and water? The amount of rice is the dependent value. The amount of water is the dependent value. The amount of rice is the independent value. The amount of water is the independent value.
Mathematics
2 answers:
Ugo [173]4 years ago
7 0
<span>Amount of Rice (cups) Amount of Water (cups)
2                                     5
3                                     7.5
5                                   12.5
8                                   20

Let's find the ratio of rice and water:

5 / 2 = 2.5 => 2 * 5 = 5

7.5 / 3 = 2.5 => 3 * 2.5 = 7

12.5 / 5 = 2.5 => 5 * 2.5 = 12.5

20 / 8 = 2.5 => 8 * 2.5 = 20

So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.</span>FALSE
Elza [17]4 years ago
6 0

Answer:

The second and third answers are the correct answers. I was going to write out the explanation, but the person above me is correct so I don't have to. (Not that I copied off them- it'd just be a waste of time if I wrote the same explanation as them). Hope this helps and is a reassurance to whoever needs this! :)

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What is the slope of the line x=-6!? <br> What about y=6<br> Please explain :)
Tema [17]
So,

These are actually special cases.
x = -6

No matter what value we substitute for y, x will always be -6.
These are some solutions to it:
(-6, 0)
(-6, -2)
(-6, 50)

Now, we know that:
slope(m) =  \frac{rise}{run}

But the run is zero, because the line is vertical.  And dividing by zero is not allowed.  Therefore, the slope of the line x = -6 is undefined.

y = 6

This is basically the same type as the previous one, with one exception.

Some solutions:
(0, 6)
(-47, 6)
(59, 6)

No matter what value we substitute for x, y will always be 6.

Remembering what the slope is equal to, we quickly see that since the rise is zero, and the denominator is infinite, we can conclude that the slope is zero.
5 0
3 years ago
Read 2 more answers
Drag and drop the correct answers
Cerrena [4.2K]

Step-by-step explanation:

Area of first triangle = 1/2bh

the base of the triangle = the radius of the semi-circle = 2yd

height = 5yd

Area = 1/2(5yd)(2yd)

A = 5yd(yd)

A = 5y^2d^2 squared units.

since the second triangle also has the same dimensions as the first triangle

hence:

Area of the second triangle = 5y^2d^2 squared units.

Area of semi-circle = πr^2

Area = π(2yd)^2

A = 4πy^2d^2 squared units

6 0
3 years ago
What is the surface area of the right rectangular prism?
scoundrel [369]
<h3>Answer:  Choice A) 252 in^2</h3>

=======================================================

Explanation:

Refer to the diagram below.

The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.

The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.

The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.

Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A

-------------------------

Alternative Method:

  • L = 12 = length
  • W = 6 = width
  • H = 3 = height

SA = surface area of the rectangular prism

SA = 2*(L*W + L*H + W*H)

SA = 2*(12*6 + 12*3 + 6*3)

SA = 2*(72 + 36 + 18)

SA = 2*(126)

SA = 252 in^2

So we get the same answer either way

3 0
3 years ago
A box is a rectangular prism with a square base. The volume is 972 cubic centimeters and the area of the square base is 81 squar
Dafna1 [17]
The volume is V=LxWxH.  The length x Width is just the area, A, of the bottom (also of the top)  So you could also write V=AxH, that is volume is
area x height.  Since we know V equals 972 and A equals 81 we can solve for H:
V=AxH
972=81H
972/81=H
H=12cm
8 0
3 years ago
Madhu's age is 3 times Sanku's age and difference between their ages is 14. Then find their ages?
marysya [2.9K]
Let’s take Sanku as x.
if Madhu is 3 times his age, then he is 3x.
the difference in their age is 14, so
3x - x = 14
2x = 14
x=7
Sanku is 7
Madhu is 21
4 0
4 years ago
Read 2 more answers
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