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nalin [4]
3 years ago
10

I NEED HELP PLEASE, THANKS!! :)

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

The answer is

\frac{1372}{3} \pi \:  {cm}^{3}

Step-by-step explanation:

First you have to find the radius of sphere by dividing diameter by 2 :

radius = diameter \div 2

Let diameter = 14,

radius = 14 \div 2

radius = 7 \: cm

Next you have to use the volume of sphere formula :

v =  \frac{4}{3}  \times \pi \times  {r}^{3}

Let r = 7,

v =  \frac{4}{3}  \times \pi \times  {7}^{3}

v =  \frac{4}{3}  \times \pi \times 343

v =  \frac{1372}{3} \pi \:  {cm}^{3}

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Read 2 more answers
Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult
svetoff [14.1K]

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

__

<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

  a - c = 1.50 . . . . . . . adult tickets are $1.50 more

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__

<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

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  a = 8 . . . . . . . . . divide by 500

An adult ticket costs $8.

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