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3 years ago

The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

1 answer:

3 0

The volume of a sphere with respect to its diameter is:

V=(4πr^3)/3

V=(πd^3)/6 (because r=d/2 and r^3=(d^3)/8), we are given that d=4 so

V=64π/6 cm^3

V=32π/3 cm^2

V≈33.51 cm^3 (to nearest hundredth)

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Bob and Joe start from the same point and walk in opposite directions. Bob walks 2 km/h faster than Joe. After 3 hours, they are

valkas [14]

Answer:

Bob = 6km/h, Joe = 4km/h

Step-by-step explanation:

Bob walked 6km/h after 3 hours = 18 km
Joe walked 4km/h after 3 hours = 12 km

Finally, their distance is 30 km.

6 0

2 years ago

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill

SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

$35d+45t=300...(1)$

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

$6d+8t=42...(2)$

$6d=42-8t...(2)$

Therefore, our desired system of equation will be:

$35d+45t=300...(1)$

$6d=42-8t...(2)$

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2 years ago

What is the slope of a line that is perpendicular to the line shown? (0,2) (3,0)

Greeley [361]

Step-by-step explanation:

This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. Thus any line that is perpendicular to this line would have slope -2 /1 = -2.

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3 years ago

the distance in feet that Karina swims in a race is represent by 8d - 8, where d is the distance for each lap.What is an express

sergij07 [2.7K]

Answer: The equivalent expression for is

Step-by-step explanation:

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.

To get equivalent expression we factor the expression 4d-4

Greatest common factor is 4

Factor out 4 from the expression 4d-4

when we factor out 4, we divide each term by 4

The equivalent expression for is

Step-by-step explanation:

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3 years ago

A homeless shelter received donations of 18 mittens and 12 winter hats. What is the greatest number of identical winter clothing

Daniel [21]

216........................

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2 years ago