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eduard
3 years ago
13

Adults tickets for the school musical sold for $3.50 and students tickets 11. sold for $2.50. Three hundred twenty-one tickets w

ere sold altogether for $937.50. How many of each kind of ticket were sold?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

  • 135 adult tickets
  • 186 student tickets

Step-by-step explanation:

Let x represent the number of adult tickets sold. Then (321-x) is the number of student tickets sold. The total revenue is ...

  3.50x + 2.50(321-x) = 937.50

  x + 802.50 = 937.50 . . . . . eliminate parentheses, collect terms

  x = 135 . . . . . . subtract 802.50; number of adult tickets

  321-x = 186 . . . . number of student tickets

135 adult tickets and 186 student tickets were sold.

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C)
DochEvi [55]

Answer:

4 quarters

10 tenths

Step-by-step explanation:

<h3>Tenths</h3>

\frac{1}{10}

<h3>Quarter</h3>

\frac{1}{4}

<h3>Whole</h3>

1

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}

∴ There are <u>4</u><u> </u><u>quarters</u> to make a whole

1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}

∴ There are <u>10</u><u> </u><u>tenths</u><u> </u>to make a whole

5 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
2 years ago
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enot [183]
The second and the third one because first is the same as 3 4/7 and 81=3^4
5 0
3 years ago
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Explain how you can use multiplication to find the quotient 3/5 divided by 3/15. Then evaluate the expression
sveta [45]

when you divide 2 fractions, you reverse the second fraction then use multiplication


3/5 divided by 3/15 becomes

3/5 x 15/3 = 45/15 = 3

3 0
3 years ago
PLS ANSWER! WILL GIVE BRAINLIEST!
anyanavicka [17]
The Answer to the question is B
4 0
3 years ago
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