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3 years ago

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Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer: 1. +80 2. -1350

Step-by-step explanation:

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The runner has run 5.6 miles which is 35% of today's course How long is today's course? Show your work

Fudgin [204]

Answer:

16mi

Step-by-step explanation:

5.6/35%=5.6/0.35=16mi

7 0

3 years ago

Read 2 more answers

The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60

nexus9112 [7]

Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

$V = \frac{4\pi r^3}{3}$

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

$\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}$

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that $\frac{dr}{dt} = 4$

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is $\frac{dV}{dt}$ when $r = \frac{d}{2} = \frac{60}{2} = 30$ . So

$\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}$

$\frac{dV}{dt} = 4\pi*(30)^2*4$

$\frac{dV}{dt} = 1508$

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

7 0

3 years ago

A clothing store is raising the price of all its sweaters by $3.00. Write a expression that could be used to find the new prices

ehidna [41]

Y=d-3. Y is equal to the cost of the sweaters before the price was raised. D represents the price of the sweaters after the price jump. The three is how much the sweater price was raised by. Say the new price of the sweaters are $29.99 each. You would plug in 29.99 for d. y=29.99-3. The new price of the sweaters would be $26.99 (this is just a sample problem)

8 0

3 years ago

How to solve this math problem

Bumek [7]

Answer:

5.833

Step-by-step explanation:

3 0

3 years ago

A turkey cost $1.05 per pound. There are going to be 15 people at the Thanksgiving dinner. Plan for each person to eat two, 3/8

lina2011 [118]

Answer:

It will take 135 minutes or 2 hours and 15 minutes

Step-by-step explanation:

What we need here is to get the total

amount in pounds of turkey to be cooked

each person eats 3/8 pound servings

Total pound per person would be 3/8 * 2 = 3/4 pound servings

From what we have, there are 15 people at the dinner,

The total pounds to cook will be

15 * 3/4 = 45/4 pounds

Per pound of turkey, it takes 12 minutes

For 45/4 pounds, it will take

45/4 * 12 = 135 minutes

Let us convert this to hours

That will be 2 hours and 15 minutes

7 0

3 years ago