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3 years ago

Grace has a 15 inch diameter bicycle tire. How many revolutions will it make traveling 500 feet?

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

Revolution = 127.24 revolutions

Step-by-step explanation:

Circumference of the tire = πD

Where D = 15 inch

So,

C = 15π = 47.1 inch

In feets:

47.1 inch = 3.93 feet.

So, one revolution = 3.93 feet

Travelling 500 feet will make the following revolutions:

Revolution = 500 feet/3.93 feet

Revolution = 127.24 revolutions

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Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The childre

fiasKO [112]

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

Given the following data;

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

For the total number of tickets;

$c + a = 15$ .........equation 1

For the total amount spent;

$7c + 12a = 140$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making c the subject in equation 1:

$c = 15 - a$ .......equation 3

Substituting "c" into equation 2;

$7(15 - a) + 12a = 140$

Simplifying the equation, we have;

$105 - 7a +12a = 140$

$105 + 5a = 140$

Rearranging the equation, we have;

$5a = 140 - 105$

$5a = 35$

$a = \frac {35}{5}$

a = 5 (For the $12 adult ticket).

To find the number of children tickets;

Substituting "a" into equation 3;

$c = 15 - 7$

c = 8 (For the $7 children ticket).

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Answer:

Step-by-step explanation:

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3 years ago

I NEED HELP ON QUESTION B AND C ASAP.

ipn [44]

Answer:

See below

Step-by-step explanation:

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cm

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

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3 years ago