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2 years ago

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A diagram of a deodorant container is shown It is made up of a cylinder and half of a sphere. (Radius = 1.6) (Height=6.2) a.) wh

at is the volume of the half sphere b.) what is the volume of the cylinder c.) what is the volume of the whole figure

1 answer:

viva [34]2 years ago

6 0

A) 8.58 units
B)36.984 units
C)45.564 units

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Jenna was selling muffins and bagels in the lobby to support the math club. Bagels sold for $0.75 and muffins sold for

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Denzel earned money after school delivering newspapers and doing yardwork. He put - of this month's earnings into his savings. H

Inessa05 [86]

<h3><u>Question:</u></h3>

Denzel earned money after school. He put 1/2 of this month's earnings into savings. He took the rest to spend at the amusement park. He spent 1/5 of this amount on popcorn and 3/4 of it on rides. What fraction of his earnings did he take to the park but not spend on rides or popcorn.

<h3><u>Answer:</u></h3>

$\frac{1}{40}$ fraction of money not spend in amusement park

<h3><u>Solution:</u></h3>

Let "x" be the total earnings

He put 1/2 of this month's earnings into savings

$\text{ savings} = \frac{1}{2} \text{ of } x$

$\text{ savings} = \frac{1}{2}x = \frac{x}{2}$

He took the rest to spend at the amusement park

$\text{ Remaining amount }= x - \frac{x}{2}\\\\\text{ Remaining amount } = \frac{2x - x}{2} = \frac{x}{2}$

He spent 1/5 of this amount on popcorn and 3/4 of it on rides

$\text{ Amount spend on popcorn } = \frac{1}{5} \times \frac{x}{2} = \frac{x}{10}$

$\text{ amount spend on rides } = \frac{3}{4} \times \frac{x}{2} = \frac{3x}{8}$

<em><u>So the fraction of money not spend in amusement park is:</u></em>

⇒ Remaining amount - (Amount spend on popcorn + amount spend on rides)

$\rightarrow \frac{x}{2} - (\frac{x}{10} + \frac{3x}{8})\\\\\rightarrow \frac{x}{2} - \frac{38x}{80}\\\\\rightarrow \frac{2x}{80} = \frac{x}{40}$

Thus $\frac{1}{40}$ fraction of money not spend in amusement park

8 0

2 years ago

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for

sergij07 [2.7K]

Answer:

The number of adults tickets sold = 168.

Step-by-step explanation:

The cost of 1 adult ticket = $10.50

The cost of 1 student ticket = $3.75

The total sales from the ticket = $2071.50

Now, here let us assume

The number of adult tickets sold = a

The number of student tickets sold = b

So, the equation is given as :

10.50 a + 3.75 b = 2071.50

Now, its given the number of students = 82

⇒ <u>b = 82</u>

Putting the value of b in the above equation,w e get:

10.50 a + 3.75 ( 82) = 2071. 50

or, 10.50 a = 2071.50 - 307.5 = 1764

or, a = 1764/10.5 = 168

Hence, the number of adults tickets sold = a = 168.

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