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storchak [24]
3 years ago
9

Ticket Receipts Solve by setting up a system of linear equations with 2 variables and 2 unknowns. An overwhelmed concert manager

realized the next day after a concert that 350 ticket receipts were counted. The price for a student ticket was $12.50 and the price for an adult ticket was $16.00. The register confirmed $5,075 was taken in, too. What the manager did not keep track of was the number of student tickets and the number of adult tickets that were sold. How many of each were sold? There were 175 student tickets and 175 adult tickets sold. There were 155 student tickets and 195 adult tickets sold. There were 125 student tickets and 225 adult tickets sold. There were 150 student tickets and 200 adult tickets sold.
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

  There were 150 student tickets and 200 adult tickets sold

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold, respectively. Then the two equations are ...

  s + a = 350 . . . . . . total number of tickets sold

  12.50s + 16.00a = 5075 . . . . . .total value of tickets sold

___

<u>Solution</u>

The first equation lets us write an expression for s:

  s = 350 - a

We can substitute this into the second equation:

  12.50(350 -a) +16.00a = 5075

  3.50a + 4375 = 5075 . . . . . . . . . simplify

  3.50a = 700 . . . . . . . . . . . . . . . . . subtract 4375

  a = 200  . . . . . . . . . . . . . . . . . . . . . divide by 3.50

There were 200 adult tickets and 150 student tickets sold.

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Which solution value satisfies the inequality x – 6 ≥ –7?
Bond [772]

Answer:

B) x = 0

Step-by-step explanation:

To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.

Plug -5 into x

-5 – 6 ≥ –7

Combine like terms

-11 ≥ –7

This is false, -11 is not greater than or equal to -7.

Plug 0 into x

0 – 6 ≥ –7

Combine like terms

– 6 ≥ –7

This is true, -6 is greater than -7.

Plug -2 into x.

-2 – 6 ≥ –7

Combine like terms

-8 ≥ –7

This is false, -8 is not greater than or equal to -7.

Plug -7 into x.

-7 – 6 ≥ –7

Combine like terms

-13 ≥ –7

This is false, -13 is not greater than or equal to -7.

B) x = 0 is the only solution that is true and works, so that is your answer.

Have a lovely rest of your day! :)

4 0
2 years ago
On January 1st, the temperature at noon was 10.2℉. By midnight, the temperature had decreased by 13.5 degrees. What was the temp
Romashka [77]

Answer:

-3.3 degrees

Step-by-step explanation:

10.2-13.5+ -3.3

3 0
3 years ago
Cooper weighs 20 pounds. when he is an adult dog, he will weigh about 350% as much as his current weight. how much will cooper w
dexar [7]

The cooper's weight as an adult dog will be 90 pounds.

<h3>What is percentage?</h3>

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

A typical method for calculating a percentage is the formula shown below:

  • Determine the total amount of what you want to find a percentage.
  • Divide the number to determine the percentage.
  • Multiply the value by 100.

Calculation for the weight of Cooper as an adult;

Cooper's present weight is 20 pounds.

He will weigh about 350% as much as his current weight.

Calculate 350% of 20 pounds.

= (350×20)/100

= 70

The increment of the weight of Cooper will be 70 pounds.

Thus, the total weight is 20 + 70 = 90.

Therefore, the weight of Cooper after 350% as an adult would be 90 pounds.

To know more about the percent change, here

brainly.com/question/809966

#SPJ4

3 0
2 years ago
A 2% decrease is written as<br><br> A 30% increase is written as
alexandr1967 [171]

Answer:

100% - 2% = 98%

Or 100% x 0.98 = 98%

100% - 30% = 70%

Or

100% x 0.7 = 70%

Answer : 0.98 & 0.7

Thus, any number/price multiplied by these decimal multipilers - automatically, will give you the decreased values of the original values.)

For example, a £300 bag is on a sale for 2% off, how much does it cost?

£300 x 0.98 = £294 (final price of the bag)

Hope this helps!

5 0
3 years ago
Express your answer in scientific notation. 0.00045-2.5x10^-5​
maw [93]

Answer:

4.25 × 10^-4

Step-by-step explanation:

0.00045-2.5x10^-5

= (4.5 × 10^-4) - (0.25 × 10¹ × 10^-5)

= (4.5 × 10^-4) - (0.25 × 10^{1-5} )

= (4.5 × 10^-4) - (0.25 × 10^-4)

= (4.5 - 0.25) × 10^-4

= 4.25 × 10^-4

8 0
2 years ago
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