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Elza [17]
2 years ago
6

Find the area of each figure in square units. show your work and explain how you got the answer.​

Mathematics
1 answer:
AfilCa [17]2 years ago
8 0

Answer:

28 square units or 28 units^2

Step-by-step explanation:

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A movie theater has a seating capacity of 271. The theater charges $5.00 for children, $7.00 for students,
nirvana33 [79]

Answer:

Children attended = 154

Students attended = 40

Adults attended = 77

Step-by-step explanation:

Seating capacity = 271

Charges for each children ticket = $5

Charges for each student ticket = $7

Charges for each adult ticket = $12

Let number of children tickets = 2x

Ticket price for children = \$ 2x \times 5

As per question statement, there were half as many adults as there are children,

so number of adult tickets = x

Ticket price for adults = \$ x \times 12

Now, number of students =

(271-x-2x)\\\Rightarrow (271-3x)

Ticket price for students = \$ (271-3x) \times 7

Total ticket sales = $1974

\Rightarrow 12x+2x\times 5 +(271-3x)\times 7 = 1974\\\Rightarrow 22x-21x +(271 \times 7) = 1974\\\Rightarrow x = 1974 - 1897\\\Rightarrow x = 77

So, number of adults attended = 77

number of children attended = 77 \times 2 = 154

number of students attended = 271 - 77 - 154 = 40

6 0
3 years ago
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
Gwar [14]

Answer:

When the ball hits the ground  h= 0

so set your equation to = o and solve for t

Need more help???

0 - -16t^2 +20t +6

7 0
3 years ago
What is the final amount if 1235 is increased by 4% followed by a 4% decrease?
madam [21]

Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%:  we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

4 0
3 years ago
Read 2 more answers
The average mass of the eggs laid by chickens on Ms. Watson's farm is 3.5 grams. about how many grams does a dozen eggs weigh?
o-na [289]
42 grams
12 (dozen) x 3.5= 42
7 0
3 years ago
Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =
hammer [34]

Answer:

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 141, \sigma = 7

Fastest 6%

At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.

Z = \frac{X - \mu}{\sigma}

-1.555 = \frac{X - 141}{7}

X - 141 = -1.555*7

X = 130

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

3 0
3 years ago
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