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barxatty [35]
1 year ago
5

At the movie theater child admission is $5.20 and adult admission is $9.90.. On Friday 163 tickets were sold for a total sales o

f $1303.50. How many adult tickets were sold that day?
Mathematics
1 answer:
Jet001 [13]1 year ago
7 0

The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of children and y represent the number of adult, hence:

5.2x + 9.9y = 1303.5     (1)

Also:

x + y = 163    (2)

From both equations:

x = 66, y = 97

The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ &lt; 0.
kumpel [21]

Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

Find the sin(\theta)

we have

csc(\theta)=\frac{3}{2}

Remember that

csc(\theta)=\frac{1}{sin(\theta)}

therefore

sin(\theta)=\frac{2}{3}

step 2

Find the cos(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

sin(\theta)=\frac{2}{3}

substitute

(\frac{2}{3})^{2} +cos^{2}(\theta)=1

\frac{4}{9} +cos^{2}(\theta)=1

cos^{2}(\theta)=1-\frac{4}{9}

cos^{2}(\theta)=\frac{5}{9}

square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

cos(\theta)=-\frac{\sqrt{5}}{3}

substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

6 0
2 years ago
What is the dollar value of 7 nickels and 8 quarters
victus00 [196]

Answer:

$2.35

Step-by-step explanation:

Nickels are worth 5 cents each and quarters are worth 25 cents.

7 nickels = 7 * 5 cents = 35 cents

8 quarters = 8 * 25 cents = 200 cents

Total = 200 + 35 = 235 cents

There are 100 cents per dollar, so we can find the dollar value by:

235/100 = $2.35

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2 years ago
What number makes a ratio equivalent to 7:15
nirvana33 [79]

Answer:

double those numbers:

14:30 is equivalent to 7:15

May I have brainliest please? :)

4 0
2 years ago
Pleassdee need help I'll brainlist ​
NikAS [45]

Answer:

A^2 means a*a

Step-by-step explanation:

A^2 = 5^2=5*5=25

3a^2=3*5^2=3*25=75

A^2+7=5^2+7=25+7=32

5 0
2 years ago
Read 2 more answers
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


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4 0
3 years ago
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