MATHEMATICS HIGH SCHOOL

A concert is being held in your hometown. 1500 tickets are sold. Adult tickets are $10.50 and child's tickets are $7.50. If a total of $13950 worth of tickets were sold, determine how many adult tickets and how many child tickets were sold. 1st equation: 2nd equation: Solution: x = and y =

Answers

Answer 1
Answer:

Answer:

x+y=1500

10.50x+7.50y=13950

multiply the first one by -7.5 to eliminate y

-7.5x-7.5y=-11250

3x=2700

x=900 adults for $9450

y=600 children for $450

Step-by-step explanation:

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you are correct it is D 
the volume is about 268.08 units.

Find the distance between points k(-1,-3) and L(0,0) round to the nearest tenth

Answers

Answer:

the answer is 3.2 i had this answer.

Step-by-step explanation:

The scale on a map is 1/4 in : 18 mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map?

Answers

Hey there, x:252 miles, 1/4:18=x:52, from there we cross mutliply 18*x=1/4*252=18x=63, x=63/18=7/12=3.5. So, the anwer is 3.5 inches.

Final answer:

Using the given scale ratio on the map and setting up a proportion with the real distance to the capital, then solving, we get that the state capital is represented as being 3.5 inches from the border on this map.

Explanation:

The subject of this question is applied mathematics, specifically ratios. The scale on the map is given as 1/4 in : 18 mi. This means that for every 1/4 inch on the map, it represents 18 miles in reality. To figure out how far the capital is from the border on the map, you'll implement this scale ratio.

First, you make a fraction with the scale, with the real distance (18 miles) on top and the map distance (1/4 inch) on the bottom. Then, you set up a proportion with this fraction equal to another fraction consisting of the real distance to the capital on top (252 miles) and an unknown distance on the map at the bottom, which we can represent as x.

The fraction then looks like this: 18/0.25 = 252/x. Solving for x gives you x = (0.25*252)/18 = 3.5. Therefore, the state capital is represented as being 3.5 inches from the border on this map.

Learn more about Map Scale here:

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The Smiths are sending out a batch of holiday cards. Emily signed of the cards. Then Josh signed of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are cards yet to be signed.

Answers

The answer is 32

Emily signed 2/5 so 75 divided by 5 is 15

15x2 is 30

75-30=45

45 divided by 1/9 is 5

30+5=35

so then 45-5=40

20% of 40 is 8

30+5+8 = 43

75-43=32

Answer:

You will get 75 cards

Step-by-step explanation:

A car with a cost of $25,000 is decreasing in value at a rate of 10% each year. The function g(t)= 25,000(0.9)^t gives the value of the car after t years. When will the value of the car be about $12,000? A) after 7 years B) after 9 years C) after 13 years Could you also explain how to do it?

Answers

                                                 12,000 = 25,000 (0.9)^(t)
Divide both sides by 25,000 →    0.48 = (0.9)^(t)
Convert to log form →         log_(0.9) 0.48 = t
Use the change of base formula → (log 0.48)/(log 0.9) = t
Plug into the calculator →  6.966 = t

Answer: A

The coins in the store s cash register total $12.50. The cash register contains only nickels, dimes, and quarters. There are twice as many dimes as nickels. There are also twice as many quarters as dimes. How many quarters are in the cash register?

Answers

nickels is 0,05 of dolar - n
dimes is 0,1 o dolar -d
quarters is 0,25 of dolar -q
dimes =2nickels
d=2n
quarters=2dimes
q=2d=4n
12,5=n(0,05)+2n(0,1)+4n(0,25)
12,5=0,05n+0,2n+n
12,5=1,25n
n=10
q=4n=40
There are 40 quarters
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