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mafiozo [28]
3 years ago
13

Heather can complete two problems in ten minutes, and when she started she had three problems done. Joel can complete three prob

lems in fifteen minutes, and when he started he had two problems done. If you include the number of problems that were complete when they started, when will they have completed between 30 and 50 problems?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0
If Heather can do 2 in 10 minutes, then that means that she can do 12 in 1 hour. If Joel can do 3 in 15 minutes, then it means that he can do 12 in 1 hour. Add the number of problems they can do total and that will go between 30 and 50. It is just "less than", not "less than or equal to" because you want to know when the total number goes between the numbers.
Therefore, the correct answer must be <span>30 < 24x + 5 < 50.</span>
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How to solve your question:

8 0
4 years ago
Find the volume of the sphere. Either enter an exact answer in terms N(Pi) Or ya 3.14 for N(pi)
xz_007 [3.2K]

Full Question:

Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm

Answer:

The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

Step-by-step explanation:

Given

Solid Shape: Sphere

Radius = 10 cm

Required

Find the volume of the sphere

To calculate the volume of a sphere, the following formula is used.

V = ⅓(4πr³)

Where V represents the volume and r represents the radius of the sphere.

Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.

V = ⅓(4πr³) becomes

V = ⅓(4π * 10³)

V = ⅓(4π * 10 * 10 * 10)

V = ⅓(4π * 1,000)

V = ⅓(4,000π)

The above is the value of volume of the sphere in terms of π.

Solving further to get the exact value of volume.

We have to substitute 3.14 for π.

This gives us

V = ⅓(4,000 * 3.14)

V = ⅓(12,560)

V = 4186.666667

V = 4186.67 ---- Approximated

Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

4 0
4 years ago
What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?
Ivanshal [37]

Answer:

-4

Step-by-step explanation:

We know it's a linear equation and the slope is a whole number. Using point slope form we will write the equation:

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y = 3x + 3 - 7

y = 3x = -4

the y intercept is -4

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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A= -2

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