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GarryVolchara [31]
3 years ago
11

I keep getting different answers. Can somone explain how I would set it all up?

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

MY=80

Step-by-step explanation:

MX=MY ( since M is the midpoint)

2x+10=3x-5

10+5=3x-2x

15=x

MX+MY=MX

2x+10+3x-5=MY

2(15)+10+3(15)-5=MY

MY=80

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The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
Which statement best explains why the equation X +2=3x-14 can be used to slice for x ?
Mariana [72]

Answer:

x would be equal on both sides so if you use that equation you'll find x and be able to solve for both sides

Step-by-step explanation:

5 0
3 years ago
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2 years ago
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Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

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Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

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3 years ago
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