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Pepsi [2]
4 years ago
15

A fish tank is 60cm long, 30cm wide, 40cm high and contains 70L of water. Rocks with a volume of 3000cm cubed are placed into th

e tank. Will the tank overflow?
Mathematics
1 answer:
hichkok12 [17]4 years ago
8 0

The tank WILL overflow.

60*30*40= 72000cm^3

<em>The max volume the fish tank can hold: 72000cm^3</em>

amount of L * 1000= cm^3

70L * 1000= 70000cm^3

<em>There is already 70000cm^3 of water in the tank</em>

70000cm^3 + 3000cm^3 = 73000cm^3

The tank can only hold 72000cm^3 and the water and rocks are 73000cm^3, so the tank will overflow.

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Range is directly correlated by the K of the function. since K is 1, the answer is B
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3 years ago
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Given that y is proportional to x, what linear equation can you write if y is 16 when x is 20?
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B. y=4/5x its just taking half
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3 years ago
Find the midpoint M of the line segment joining the points A = (-5, 7) and B = (-1, -5).
11111nata11111 [884]

Answer:

M = (-3,1)

Step-by-step explanation:

We need to find the midpoint M of the line segment joining the points

A = (-5,7) and B = (-1, -5)

The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :

M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\M=(\dfrac{-5+(-1)}{2},\dfrac{7+(-5)}{2})\\\\M=(-3,1)

Hence, the required point is (-3,1).

6 0
3 years ago
Factor completely 3x^2 − x − 4.
ozzi

3x^2 − x − 4

factor

= (3x − 4)(x + 1)


answer

D. (3x − 4)(x + 1)

8 0
3 years ago
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mylen [45]
The slope intercept form for a line is y = mx + b.
                                                                 ↑      <span>↑

m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).

For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.

To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):

m = (y</span>₂ - y₁)/(x₂ - x₁)

The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points.                          ↑  ↑           ↑  ↑
                                              x₁ y₁        x₂ y<span>₂

m = (1 - 0)/(0 - 1)

m = 1 / -1

m = -1

This makes sense - since the slope is going downward, the slope is negative.

So the equation is:

y = -x + 1

____________________________________________________________

For the second problem, We  can see the line intercepts the y-axis at -5. That is our b value.

The the slope of this line is 0 since it is not going up or down, so that is our m value:

y = 0(x) - 5 = -5

The equation of the line is y = -5</span>
8 0
4 years ago
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