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saveliy_v [14]
2 years ago
10

The student government wants to determine the theme for the eighth grade dance. Which group would it be best to take a sample fr

om?
Mathematics
2 answers:
Serga [27]2 years ago
7 0
To ask the 8th graders
Juliette [100K]2 years ago
5 0
The best group to take a sample from would be the eighth graders because they are the ones who will be participating in the dance, so they should have the most input.
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Dapper Dan's Dancing School charges $85 for enrollment plus $6 per class, whereas Leaping Larry's Dancing School charges $40 for
gogolik [260]

Answer:

The Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes

Step-by-step explanation:

The given information are;

The amount Dapper Dan's Dancing School charges for enrollment = $85

The amount Dapper Dan's Dancing School charges per class = $6

The amount Leaping Larry's Dancing School charges for enrollment = $40

The amount Leaping Larry's Dancing School charges per class = $12

Therefore, we have for X number of classes, when the cost of Dapper Dan's Dancing School and Leaping Larry's Dancing School are equal

$85 + X × $6 =  $40 + X × $12

$85 - $40 = X × $12 - X × $6

$45 =  X × $6

X = $45/$6 = 7.5

From which we have at X = 7.5 classes, the cost of the two dancing schools will be equal

However below 7.5 classes, for 7 classes for example, we have;

Cost of Dapper Dan's Dancing School = $85 + 7 × $6 = $127

Cost of Leaping Larry's Dancing School = $40 + 7 × $12 = $124

Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is more expensive than Leaping Larry's Dancing School

Above 7.5 classes, for 8 classes for example, we have;

Cost of Dapper Dan's Dancing School = $85 + 8 × $6 = $133

Cost of Leaping Larry's Dancing School = $40 + 8 × $12 = $136

Therefore, for the number of classes below 7.5, Dapper Dan's Dancing School is less expensive than Leaping Larry's Dancing School

Therefore, Leaping Larry's Dancing School will be more expensive for a number of classes above 7.5 or equal to and above 8 classes.

5 0
2 years ago
Gregory has 2/3 of an entire pizza. If he gives 1/4 of an entire pizza to his friend Marlene, what fraction of his partial pizza
Amiraneli [1.4K]

Answer: 5/12

Step-by-step explanation:

because the denominators are not the same you have to multiply to get a common base and then you can subtract from there to see how much he has left.

3 0
2 years ago
Half angle tan 5pi/8
Bond [772]
The half-angle formula for tangent is:

tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)

Now we can plug in values:

tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)

tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)

tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)

Now we can solve the first half:

(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1

tan(5pi/8) = -√2 - 1

4 0
2 years ago
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
DiKsa [7]

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

4 0
2 years ago
Read 2 more answers
Select the two figures that are similar to the 9 by 6 figure that’s is shown.
Eduardwww [97]

Answer:

The correct option is 3. The green figure is similar to the 9 by 6 figure.

Step-by-step explanation:

Let a small square represents 1 unit.

From the given figure it is noticed that

1. The dimensions of red figure is 4 by 3.

2.The dimensions of brown figure is 4 by 6.

3.The dimensions of green figure is 2 by 3.

3.The dimensions of purple figure is 3 by 6.

The dimensions of given figure is 9 by 6. The proportion of its dimensions is

\frac{9}{6}=\frac{3}{2}

The corresponding sides of two similar figure are proportional. It means the ration of sides must be \frac{3}{2}.

The dimensions of green figure is 2 by 3. It means the proportion of its dimensions is \frac{3}{2}.

Therefore the correct option is 3. The green figure is similar to the 9 by 6 figure.

3 0
2 years ago
Read 2 more answers
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