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3 years ago

7

Maya is taking her friends to a concert each ticket costs $25 and souvenir t-shirts are $12 each there is a $4 service fee for t

he entire purchase she has $130 if she buys 3 tickets what is the maximum number of t-shirts she can buy

2 answers:

defon3 years ago

6 0

Answer:

4.

Step-by-step explanation:

Let x be the number of t-shirts that Maya can buy.

We have been given that Maya is taking her friends to a concert each ticket costs $25 and souvenir t-shirts are $12 each.

Since 1 t-shirt costs $12, so cost of x t-shirts wold be 12x.

We have been given that Maya bought 3 tickets, so amount spent on 3 tickets would be $\$25\times 3=\$75$ .

We are also told that there is a $4 service fee for the entire purchase, so we can represent our given information in an inequality as:

$12x+75+3\leq 130$

$12x+78\leq 130$

$12x+78-78\leq 130-78$

$12x\leq 52$

$\frac{12x}{12}\leq \frac{52}{12}$

$x\leq 4.33333$

Therefore, the maximum number of t-shirts that Maya can buy is 4.

LuckyWell [14K]3 years ago

5 0

Answer:

Step-by-step explanation: 3 T-shirts=75+4 (4 is the service fee) 130-79= 51. 51/12= 4 (I think it’s right)

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$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

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$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

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