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natita [175]
3 years ago
12

At the movie theatre, child admission is $6.00 and adult admission is $9.90 . On Saturday, 155 tickets were sold for a total sal

es of $1312.20 . How many child tickets were sold that day?
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
57 children tickets were sold on Saturday.

You could set this up as a system of equations.
x + y = 155
6.00x + 9.90y = 1312.20

First step is multiplying the first equation by -6 to use the elimination method.

-6.00x + -6.00y = -930
6.00x + 9.90y = 1312.20

The positive and negative 6x cancel out until you are only left with the y.

Combining them would make your equation...
3.9y = 382.2

Next you would divide by 3.9 on both sides to get the y by itself.

The result of that would be y = 98. Which means 98 adult tickets were sold. Then you would plug y into either of the equations to solve for x.
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Always look to the left of the number if there's a minus sign then it's negative. If it has nothing or a plus sign, then it is positive.
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3 years ago
What is the product of 2x + y and 5x – y + 3?
Goryan [66]

Answer:

The product of terms 2x + y and 5x – y + 3 is:10x^2 + 3xy +6x -y^2 +3y

Step-by-step explanation:

We need to multiply the two terms

(2x + y) ( 5x - y + 3)\\=2x (5x - y + 3) + y( 5x - y + 3)\\=10x^2 -2xy +6x +5xy -y^2 +3y\\checking\,\, for \,\, the \,\, like \,\, terms\,\, (\,\,having\,\, same\,\, variables\,\,)\\=10x^2 -2xy +5xy +6x -y^2+3y\\=10x^2 + 3xy +6x -y^2 +3y

The product of terms 2x + y and 5x – y + 3 is:10x^2 + 3xy +6x -y^2 +3y

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3 years ago
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Ksenya-84 [330]

Answer:

1) the quadrants go counter clockwise, Quadrant I is the upper right square, Quadrant II is the upper left square, Quadrant III is the lower left square, and Quadrant IV is the lower right square.

2) Quadrant II

3) Quadrant IV

4) Quadrant III

5) Quadrant I

6) Both would be on the horizontal axis

7) Both would be on the vertical axis

Step-by-step explanation:

Hope this helped!

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3 years ago
Help me please I’m down baddddd
Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0
3 years ago
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with
allochka39001 [22]

Answer:

V = \frac{99}{7} x^{9}y^{-6}

Step-by-step explanation:

Given

V = \frac{4}{3}\pi r^3

Required

Find V when

r = \frac{3}{2}x^3y^{-2

Substitute \frac{3}{2}x^3y^{-2 for r in V = \frac{4}{3}\pi r^3

V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3

Open bracket

V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}

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Simplify the fractions

V = \pi * \frac{9}{2} * x^{9}y^{-6}

Let

\pi = \frac{22}{7}

So:

V = \frac{22}{7}  * \frac{9}{2} * x^{9}y^{-6}

V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}

V = \frac{99}{7}   * x^{9}y^{-6}

V = \frac{99}{7} x^{9}y^{-6}

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