MATHEMATICS HIGH SCHOOL

A movie theater charges 5 for an adult ticket and 2 for a child's ticket. One Saturday the theater sold 785 tickets for 3,280. How many adult and children tickets were sold for the movie saturday?

Answers

Answer 1
Answer:

Answer: 570 adult tickets and 215 children tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold for the movie Saturday.

Let y represent the number of children tickets that were sold for the movie Saturday.

One Saturday the theater sold 785 tickets. This means that

x + y = 785

The movie theater charges 5 for an adult ticket and 2 for a child's ticket. The total sales on Saturday was 3280. This means that

5x + 2y = 3280 - - - - - - - - - - --- 1

Substituting x = 785 - y into equation 1, it becomes

5(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

- 5y + 2y = 3280 - 3925

- 3y = - 645

y = - 645/- 3

y = 215

x = 785 - y = 785 - 215

x = 570

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Given the function f(x) = 2(x + 8), find x if f(x) = 12.A) 2
B) 40
C) −2
D) 14

Answers

Answer:

f(x)= 2 × (x+8)------(1)

f(x)=12---------(2)

Equating (1) and (2)

⇒2×(x+8)=12

⇒Using distributive property of multiplication with respect to Addition

⇒2 x +16=12

⇒2 x+16-16=12 -16-----[Subtracting 16 from both sides]

⇒2 x= -4

Dividing by , 2 ,on both sides

⇒x= -2

Option C: -2
f(x) = 2(x+8)
12 = 2x + 16
 2x = 12 - 16
 2x = -4
   x = -2

If a vector A⃗ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: Ax = 9.00lb , Ay = 5.00lb

Answers

The vector magnitude is 10.29lb and the vector direction is 150.9⁰.

Vector:

As per the given question:

Ay = 5.00 \ lb\n\nAx = 9.00 \ lb\n\n

To find:

magnitude and direction=?

Solution:

Vector representation of the given value:

\to (9i + 5j)

Calculating the vector magnitude:

\to √((9)^2 +(5)^2)\n\n \to √(81+25)\n\n \to √(106) \n\n\to 10.29 \ lb

Calculating the vector direction:

When 90 < \theta < 180

Let's solve the value for \theta\n\n

\tan \theta = (y)/(x)\n\n\tan \theta = (5)/(9)\n\n\tan \theta =0.555\n\n\theta = \tan^(-1)(0.555555556) \n\n\theta= 29.1^(\circ)\n\n

\sin \theta lies in the second quadrant,

\to \theta = 29.1^(\circ) = 180 -29.1 = 150.9^(\circ)\n\n

Find out more information about the angle here:

brainly.com/question/24797859

8 gallons equals how many pints?
a. 2 pt.
b. 128 pt.
c. 32 pt.
d. 64 pt.

Answers

64 pints is in 8 gallons

Is the expression -12x-18 equivalent to the expression -6x-9-3(3-2x)

Answers

-12x-18 and -6x-9-3(3-2x)

First, distribute the -3 into the parentheses. The second expression will turn out as such:
-6x-9-9-6x.
From here, you need to combine like terms (variables and numbers). -12x-18.
So, yes, these two expressions are equal.
-12x-18=-6x-9-3(3-2x)
-12x-18=-6x-9-9+6x
-12x-18=-6x+6x-9-9
-12x-18=-18
-12x-18=-18
+18=+18
-12x=0
X=0

Describe the cross section

Answers

the cross section is a pentagon (not a regular one though)
A cross section is the shape we get when cutting straight through an object.

Cross section on a cube is a square

What specific properties are these?
A. 3+(5+9)+6=5(9+6)+3
B. 3 x 4 x 5= 4 x 3 x 5

Answers

A. 3+(5+9)+6=5(9+6) + 3
- addition
- multiplication
- distributive property

B. 3x4x5=4x3x5
- multiplication

Hope this helps!
A. associative property of addition
B. associative property of multiplication
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