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AnnyKZ [126]
3 years ago
5

Five hundred tickets were sold for a play the tickets cost $7.50 for adults and $4.00 for children A total of $3,312.50 was rece

ived for all the tickets sold on that Sunday party how many adults and children attended the play
Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
Hi there :-)
4c+7.5a=3312.50
Let
C=x
A=500-x
4x+7.5 (500-x)=3312.50
Solve for x
4x+3750-7.5x=3312.50
4x-7.5x=3312.5-3750
-3.5x=-437.5
X=437.5/3.5
X=125 of children

A=500-125=375 of adults

Hope it helps
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The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.

This is the form of the inequality:

(total cost) [less than or equal to] $80
(rent) + (cost per guest)(number of guests) [less than or equal to] $80
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Simplify.  To do this, subtract $45 from both sides of this inequality.

Divide both sides of the resulting inequality by $5.50.

What is the restriction on x?
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3 years ago
One angle of a right triangle measures 60°. What is the measure of the other acute angle?
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Answer:

30 degrees

Step-by-step explanation:

triangles have 180 degrees

right triangles have a right angle which is 90 degrees

180-90=90

90-60=30

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He should charge 15.75
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A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col
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Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\

For sample 2:

n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\

Calculating the null and alternative hypotheses:

H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1  

Calculating the test statistic:

Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693

Calculating the conservative degrees of freedom:

DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24

by using Excel the p-value for left tailed test and for test statistic will be -1.693 with DF = 24.

\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \  i.e, \bold{0.05 < p-value < 0.10}

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