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alisha [4.7K]
3 years ago
9

The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect

ed, how many adults went to the movies?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
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Why did the Europeans come to north america
ludmilkaskok [199]

Answer:

They wanted to spread Christianity. They also hoped to gain new lands and wealth for their countries. Finally, you read about the valuable cargo of New World plants that explorers brought back to Europe.

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3 years ago
A news agency publishes results of a recent poll. It reports that candidate A leads candidate B by 10% because 45% of the poll p
natali 33 [55]

We need to use the formula to find Margin of Error but through the sample proportion, that is

E=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

We will use a 95% confidence interval, that is a z value of 1.96 (Search in a Normal distribution table)

A) For A our \hat{p} (proportion) is equal to 0.45. So applying the formula,

E=1.96*\sqrt{\frac{0.45(1-0.45)}{900}}

E=3.25\%

B) We make the same of point A, but change our proportion to 0.35

E=1.96*\sqrt{\frac{0.35(1-0.35)}{900}}

E=3.116\%

c) We need to calculate the SE through proportion for 0.1, that is

SE = \sqrt{(\frac{\hat{p_1}(1-\hat{p_1})}{n})+(\frac{\hat{p_2}(1-\hat{p_2})}{n})}

Then our Error is given by,

E=z*SE

E=1.96*\sqrt(0.45*\frac{0.55}{900}+0.35\frac{0.65}{900}

E=0.045

7 0
3 years ago
Find the hypotenuse of a RIGHT triangle with a base of 11cm and a
MariettaO [177]

Answer:

58

Step-by-step explanation:

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then subtract

3 0
3 years ago
please i need help lol The amount of clay students used for their last art project is weighed. The line plot displays the amount
Schach [20]

Answer:

2  1/4

Step-by-step explanation:

We need to see how much clay they used if each person in that group used 3/4 clay. There are 4 people in the group.

=> 3/4 x 4 = 12/4 =    3

Now, we need to see how much clay they used if each person in that group used 1/4 clay. There are 3 people in the group

=> 1/4 x 3 =   3/4

Now, we need to see how much more clay was used.

=>3 - 3/4

=> 3/1 - 3/4

=> Take the LCM of the denominators and make the denominators equal.

=> 12/4 - 3/4

=> 9/4

They used 9/4 more clay.

Since there are no options with 9/4, we need to make this improper fraction into a proper fraction.

=> 9/4 = 2  1/4

They used 2  1/4 more clay.

3 0
2 years ago
A salesperson earns $320 per week plus 8% of her weekly sales. The expression representing her earnings is 320 + 0.08x. Which of
Arturiano [62]

Answer:

Here, x represents the weekly sale

As per the statement:

A salesperson earns $320 per week plus 8% of her weekly sales.

"8% of her weekly sales" means \frac{8}{100}x = 0.08x

then;

the expression which represents her earning = 320+0.08x

"At least" means "\geq"

then;

the sales necessary for the salesperson to earn at least $1000 in the one week

⇒320+0.08x\geq 1000

Subtract 320 from both sides we have;

0.08x\geq 680

Divide both sides by 0.08 we get:

x\geq 8500

Therefore, the sales necessary for the salesperson to earn at least $1000 in the one week is: greater than or equal to $8500 i.e  x\geq 8500

6 0
3 years ago
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