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hichkok12 [17]
4 years ago
6

Dimitri is helping to plan the school talent show. Each performer for the talent show has 7 minutes for his or her performance,

which includes transition time between performances. If the introduction for the talent show is 25 minutes long and the entire show, including the introduction, will last 130 minutes, how many different performances can the talent show accommodate?
Mathematics
1 answer:
Kaylis [27]4 years ago
5 0

15 performances can be accommodated

<em><u>Solution:</u></em>

Given that,

Each performer for the talent show has 7 minutes for his or her performance

The introduction for the talent show is 25 minutes long

The entire show including the introduction, will last 130 minutes

Thus the remaining time for performances is:

Performance time = 130 minutes - 25 minutes

Performance time = 105 minutes

To find, the number of performances, divide the 105 by 7 minutes

Number\ of\ performances = \frac{105}{7} = 15

Thus 15 performances can be accommodated

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3 years ago
Evaluate the following expression:<br> 62 − 7(8 + 6 − 32)
Alex Ar [27]

Answer:

188

Step-by-step explanation:

<u>Step 1:  Distribute</u>

62 − 7(8 + 6 − 32)

62 + (-7 * 8) + (-7 * 6) + (-7 * -32)

62 + (-56) + (-42) + (224)

<u>Step 2:  Combine the first two numbers</u>

(62 - 56) - 42 + 224

6 - 42 + 224

<u>Step 3:  Combine the next two number</u>

(6 - 42) + 224

-36 + 224

<u>Step 4:  Combine the last two number</u>

-36 + 224

188

Answer:  188

3 0
3 years ago
A line has a y intercept of 7 and a slope of 3/4, and goes DOWNHILL. What is the equation of this line?
Vladimir79 [104]

the answer is b, if not then try d:)

4 0
3 years ago
Read 2 more answers
Find the greatest common factor of 15x^2y^3 and -18x^3yz <br> The Answer has to be like _x_y_
Daniel [21]

Answer:

The greatest common factor of this would be 3x^2y

Step-by-step explanation:

In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.

From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)

And since the first term has 3 y's and the second has just 1, we take the lowest number (y).

8 0
3 years ago
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data an
Studentka2010 [4]

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

<u>Step 1:  Order from least to greatest</u>

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

<u>Step 2:  Determine the median of the lower half of the data</u>

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  <u>Determine the median of the upper half of the data</u>

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

5 0
2 years ago
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