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n200080 [17]
3 years ago
8

Juniors will be hosting prom this year. They will need to make at least $ 4000 in profits from selling tickets. The juniors esti

mate there can be at most 600 students that can attend prom because of the size of the venue. They will profit $ 20 for each ticket sold in advance and $ 40 for each ticket sold at the door. Name your variables, and write a system of inequalities.
Mathematics
1 answer:
zysi [14]3 years ago
8 0
I need this answer too can someone please help us out with the right answer ?!

Explanation : ?
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There are 18 girl in a class and boys in the class is 3:2. Find the number of boys.​
Sunny_sXe [5.5K]

Answer

12

Explanation

2xand 3x

let 3 be 3x

3x=18

X=18/3

X=6

now

2x=2multiply6

12

the number of boys is 12

8 0
3 years ago
Mr. Marcucci received a bonus of $496 from his employer. He has to pay 33% of his bonus to taxes. How much will Mr. Marcucci pay
tiny-mole [99]
Edit: 33% is not \frac{1}{3}, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68

The following is the original solution, which is incorrect. 
33% = \frac{1}{3}. Multiply the bonus of $496 by \frac{1}{3} to get the solution of \frac{496}{3}, or 165 and \frac{1}{3}

Therefore the solution is $165.33


7 0
3 years ago
Read 2 more answers
Find the sum of the positive integers less than 200 which are not multiples of 4 and 7​
taurus [48]

Answer:

12942 is the sum of positive integers between 1 (inclusive) and 199 (inclusive) that are not multiples of 4 and not multiples 7.

Step-by-step explanation:

For an arithmetic series with:

  • a_1 as the first term,
  • a_n as the last term, and
  • d as the common difference,

there would be \displaystyle \left(\frac{a_n - a_1}{d} + 1\right) terms, where as the sum would be \displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n).

Positive integers between 1 (inclusive) and 199 (inclusive) include:

1,\, 2,\, \dots,\, 199.

The common difference of this arithmetic series is 1. There would be (199 - 1) + 1 = 199 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}.

Similarly, positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 4 include:

4,\, 8,\, \dots,\, 196.

The common difference of this arithmetic series is 4. There would be (196 - 4) / 4 + 1 = 49 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 7 include:

7,\, 14,\, \dots,\, 196.

The common difference of this arithmetic series is 7. There would be (196 - 7) / 7 + 1 = 28 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 28 (integers that are both multiples of 4 and multiples of 7) include:

28,\, 56,\, \dots,\, 196.

The common difference of this arithmetic series is 28. There would be (196 - 28) / 28 + 1 = 7 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}.

The requested sum will be equal to:

  • the sum of all integers from 1 to 199,
  • minus the sum of all integer multiples of 4 between 1\! and 199\!, and the sum integer multiples of 7 between 1 and 199,
  • plus the sum of all integer multiples of 28 between 1 and 199- these numbers were subtracted twice in the previous step and should be added back to the sum once.

That is:

19900 - 4900 - 2842 + 784 = 12942.

8 0
3 years ago
If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Inessa [10]

Answer:

  a- defined term

Step-by-step explanation:

The statement is defining an angle.

5 0
3 years ago
Read 2 more answers
Write 17/25 as a percent
WINSTONCH [101]

Answer:

68%

Step-by-step explanation:

Times both the top and bottom number by 4.

6 0
3 years ago
Read 2 more answers
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