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3 years ago

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Answer:

30 adult tickets,
50 kids tickets

Step-by-step explanation:

Given

Cost of adult ticket = $8.50
Cost of kids ticket = $7.00
Number of tickets = 80
Total cost = $605

Let the adult ticket be a and kids be k

We got equations

a + k = 80
8.5a + 7k = 605

From the first equation we get

k = 80 -a

Substituting k in the second equation

8.5a + 7(80 - a) = 605
8.5a - 7a + 560= 605
1.5a = 45
a = 45/1.5
a = 30

Then finding k

k = 80 - 30 = 50

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A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent

olga_2 [115]

Answer: 33.3%

Step-by-step explanation:

First find the difference between the players in try-outs over the years.

= 90 - 75

= 25

Then use this difference to find the percent increase:

= Difference / Players last years * 100%

= 25 / 75 * 100%

= 33.3%

3 0

3 years ago

Damien has 30 coins, all nickels and dimes. The total value of all these coins is $2.05. How many nickels does he have?

Damm [24]

Hi there!

nickels:19

We know that there is only nickels and dimes in his coin collection..

1.Multiply two terms:

$10$ · $10=1.00$

Then there would be 20 nickels but 1+1=2 not 2.05.

2.Multiply the terms:

$11$ · $10=1.10$

$19$ · $5=0.95$

3.Combine the two terms:

$1.10+0.95=2.05$

Therefore, there would be 19 nickels...

4 0

3 years ago

5. Which of the following sets of fractions is arranged in order from LEAST to GREATEST?

SCORPION-xisa [38]

Answer:

$\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}$

Step-by-step explanation:

Required

Which is ordered in ascending order

To do this, it is best to convert the fractions to decimal and then make comparison.

From the options, only (b) is ordered in ascending order and the proof is as follows.

$\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}$

Convert to decimals

$\{0.125, 0.25, 0.5\}$

By comparison:

$0.125< 0.25< 0.5$

Hence, (b) is ordered from least to greatest

3 0

3 years ago

A. 55 B. 45 C. 90 D.35

Dima020 [189]

Answer:

I believe it is A

Step-by-step explanation:

I really hope it's right

I hope you have a wonderful day!

5 0

3 years ago

Read 2 more answers

a pipe made of metal 1cm thick , has and external radius of 11cm. find the volume of metal used in making 2.4 m long pipe

miv72 [106K]

Answer:

The volume of metal used in making 2.4 m long pipe is 1.58 cm³

Step-by-step explanation:

From the question,

The external radius is 11cm.

Also, the thickness of the pipe is 1cm, then we can determine the internal radius.

Internal radius = External radius - the thickness

Internal radius = 11cm - 1cm

Internal radius = 10cm

Now, to find the volume of metal used in making the long pipe,

The volume of metal used in making the long pipe is the difference between the volume of the external cylinder and the volume of the internal cylinder.

Volume of a cylinder is given by the formula below

$V = \pi r^{2}h$

Where $V$ is the volume of the cylinder

$\pi$ is constant ( Take $\pi$ = 3.14)

$r$ is the radius

and $h$ is the height

Let the radius of the external cylinder be R,

then, R = 11 cm = 0.11 m

and let the radius of the internal cylinder be r

then, r = 10 cm = 0.10 m

Then,

The volume of metal used in making the long pipe = $\pi R^{2}h - \pi r^{2}h$

= $\pi (R^{2} - r^{2})h$

= $3.14\times(0.11^{2} - 0.10^{2})\times2.4$

= $3.14\times(0.0121 - 0.01)\times2.4\\$

= $3.14\times(0.0021 )\times2.4\\$

= 0.0158 m³ or 1.58 cm³

Hence, the volume of metal used in making 2.4 m long pipe is 1.58 cm³

7 0

3 years ago