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2 years ago

10

Javier bought 2 adult movie tickets and 4 children’s movie tickets and spent a total of $46. If adult tickets cost $2 more than

children’s tickets,how much does each type of ticket cost?

1 answer:

Sergio [31]2 years ago

6 0

The children's ticket would be $7 each and the adult ticket would be $9.

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Can anybody help me with this

ivolga24 [154]

A = (4, 5) B = (-2, 1)

<u>Midpoint of A and B</u>

$C=(X_M, Y_M) = \bigg(\dfrac{X_A+X_B}{2}, \dfrac{Y_A+Y_B}{2}\bigg)\\\\. \qquad \qquad \qquad =\bigg(\dfrac{4-2}{2},\dfrac{5+1}{2}\bigg)\\\\. \qquad \qquad \qquad =\bigg(\dfrac{2}{2},\dfrac{6}{2}\bigg)\\\\. \qquad \qquad \qquad =(1, 3)$

<u>Distance from A to B</u>

$d_{AB}=\sqrt{(X_B-X_A)^2+(Y_B-Y_A)^2}\\\\.\qquad =\sqrt{(-2-4)^2+(1-5)^2}\\\\.\qquad =\sqrt{(-6)^2+(-4)^2}\\\\.\qquad =\sqrt{36+16}\\\\.\qquad =\sqrt{52}\\\\.\qquad =7.2$

<u>Equation of line through AB</u>

$m_{AB}=\dfrac{Y_B-Y_A}{X_B-X_A}\\\\.\qquad =\dfrac{1-5}{-2-4}\\\\.\qquad =\dfrac{-4}{-6}\\\\.\qquad =\dfrac{2}{3}$

$Y-Y_A=m_{AB}(X-X_A)\\\\Y-5=\dfrac{2}{3}(X-4)\\\\Y-5=\dfrac{2}{3}X-\dfrac{8}{3}\\\\Y=\dfrac{2}{3}X+\dfrac{7}{3}$

<u>Line parallel to AB (same slope as AB) through point (3, -5)</u>

$Y-Y_A=m_{AB}(X-X_A)\\\\Y+5=\dfrac{2}{3}(X-3)\\\\Y+5=\dfrac{2}{3}X-2\\\\Y=\dfrac{2}{3}X-7$

AB is <u>perpendicular</u> to A'B' so slopes are <u>opposite reciprocals</u>

A' = (3, 0)

B' = (-1, 6)

C = (1, 3)

C' = (7, 3)

D = (5, 3)

D' = (5, 1)

3 0

2 years ago

What is the radius of a circle whose endpoints of a diameter are A(-4, 14) and B (2,8)

kupik [55]

9514 1404 393

Answer:

3√2

Step-by-step explanation:

The length of the diameter is given by the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((2 -(-4))² +(8 -14)²) = √(36 +36) = 6√2

The radius is half the diameter, so the radius of your circle is 3√2.

8 0

2 years ago

The expression a = 3b2 + 2 can be written in words as: the quantity a is equal to

jonny [76]

The given equation is:
a = 3b^2 + 2
For this case, what you should do is write carefully each term that belongs to the equation.
a is equal to three times b squared plus two.
answer:
a is equal to three times b squared plus two.

5 0

3 years ago

PLZ help me super really really fast

maria [59]

Answer:

A. 3 cm

Step-by-step explanation:

The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is $16-4=12$ cm and the volume of the water is

$V_{water}=4\cdot 8\cdot 12=384\ cm^3$

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

$V_{water}=8\cdot 16\cdot h \ cm^3,$

where h is the height of the water.

Equate volumes of the water:

$8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm$

Therefore, the water is 3 cm from the bottom.

4 0

2 years ago

If I got 29 muffins and 41 people how many more do I need?

Usimov [2.4K]

Answer:

12

Step-by-step explanation:

there are 41 people and u only have 29. that means 12 won't get so u will ask for 12 more

7 0

1 year ago

Read 2 more answers