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Alisiya [41]
2 years ago
5

the number of tickets sold at the Amazing Art Museum on Saturday was 175% of the ticket sales on Friday. If 2,000 tickets were s

old on Friday, how many tickets were sold on Saturday?
Mathematics
2 answers:
Sauron [17]2 years ago
7 0
Hello! So the ticket sales on Saturday were 175% of Friday's ticket sales. Because the percent exceeds 100%, that means more tickets were sold on Saturday than Friday. To find out how many tickets were sold on Saturday, all you have to do is multiply the amount of tickets sold on Friday (2,000) by the percent (175%). 2,000 * 175% (1.75) is 3,500. There. The Amazing Art Museum sold 3,500 tickets on Saturday.
anzhelika [568]2 years ago
4 0
2000*1.75 makes 3500 tickets sold Saturday.
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Your parents are renting an apartment for you when you go away to college. An annual contract is $502.00/month with a 2-month pe
Vikentia [17]

Answer:

<em>The month-to-month contract will cost an extra $1356.</em>

Step-by-step explanation:

"An annual contract is $502.00/month with a 2-month penalty if you break the lease."

If you stay the whole year, and you pay $502 per month, you pay 12 * $502 = $6024 for the entire year.

"The month-to-month contract is $615.00/month."

If you stay the entire year, you pay 12 * $615 = $7380.

The difference is $7380 - $6024 = $1356

5 0
2 years ago
The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)
Alenkasestr [34]

Answer: 6x^2+11

Step-by-step explanation:

Given the polynomial of degree 3:

24x^3 - 54x^2 + 44x -99

You can observe make two groups or two terms each:

(24x^3 + 44x) - (54x^2 + 99)

The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.

 You can observe that the GCF of both set are factored out (4x and 9), then, you can find  the common factor that is missing from both sets of parentheses with this procedure:

(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)

You can observe that the common factor that is missing from both sets of parentheses is:

6x^2+11

3 0
1 year ago
A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for
vaieri [72.5K]

Answer:

  V = a³/8

Step-by-step explanation:

The volume of the original cube is the cube of the side length:

  V = a³

When the side length is reduced to half its former value, the new volume is ...

  V = (a/2)³ = a³/2³

  V = a³/8 . . . . volume of the new cube

6 0
2 years ago
The average of a set of 18 consecutive integers is 22.5. what is the smallest integer in the set?
quester [9]
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14

Therefore, the smallest integer is 14.
6 0
2 years ago
Two armadillos and three aardvarks sat in a five-seat row at the Animal Auditorium. What is the probability that the two animals
Serhud [2]

Answer:

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Explanation:

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Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.

Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

        P(5,5)=\dfrac{5!}{(5-5)!}=5!=5\times 4\times 3\times 2\times 1=120

Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs:

      Probability=\dfrac{8}{120}=\dfrac{1}{15}

8 0
1 year ago
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