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valentina_108 [34]
3 years ago
6

The owner of a movie theater is counting the receipts from one day of ticket sales. He knows that 250 tickets were sold. Adult t

ickets are $10 each and children’s tickets are $8 each. If the total collected for the day was $2276, how many of each type of ticket were sold? a. Write the system of equations to represent this situation. b. Solve the system using elimination. c. How many of each type of ticket were sold?
Mathematics
1 answer:
irinina [24]3 years ago
8 0

Step-by-step explanation:

x + y = 250 -eq.1

10x + 8y = 2276 -eq.2

eq.1 × 8

8x + 8y = 2000 -eq.3

eq.2 - eq.3

10x + 8y = 2276

( - ) 8x + 8y = 2000

2x = 276

x = 138

sub x = 138 into eq.1

138 + y = 250

y = 250 - 138

y = 112

x = 138, y = 112

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zaharov [31]
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.

On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.

S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2

The lateral area of the cylinder is 240
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7 0
3 years ago
Read 2 more answers
Simplify the expression by combining like terms. <br><br>4y+7x- 2y+4x​
juin [17]

Hello!

Answer:

\boxed{2y+11x}

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

<em>First, you switch sides. *Group like terms*</em>

4y-2y+7x+4x

<em>Then, you add the similar to elements. You can also add the numbers from left to right.</em>

4y-2y=2y

2y+7x+4x

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\boxed{2y+11x}\checkmark, is the correct answer.

Hope this helps!

Have a nice day! :)

4 0
3 years ago
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(15 POINTS!) What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the po
Irina18 [472]

The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:


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0 = 0.


The other factor that you have to considerate is the slope.


The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).


Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.


Once you know the slope of the parallel line, you can choose the right option.


The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.


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Given that 1 pound = 16 ounces, convert 32 ounces to pounds.
Brut [27]

2 pounds

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3 0
3 years ago
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I need a step-by-step explanation please
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Answer:

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expression: (11x-8)+7(x-1)

ok so what you want to do is combine like terms

but first you are going to distribute

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you will then add 11x and 7x which will get you 18x

the final expression will be 18x-16

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