3 years ago

Find the value of x that will make l and m 7x-7, 4x+14

1 answer:

6 0

Answer:
x = 7

Explanation:
We are given that:
l = 7x - 7
m = 4x + 14

We want to have:
l = m

Therefore, we will simply equate the two equations and solve for x as follows:
7x - 7 = 4x + 14
7x - 7 - 4x = 4x + 14 - 4x
3x - 7 = 14
3x - 7 + 7 = 14 + 7
3x = 21
x = $\frac{21}{3}$
x = 7

Hope this helps :)

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1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge

Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4. The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3: