At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's play, 125 tickets were sold, totaling $1,140. Which system of equations correctly represents this situation where a represents the number of adult tickets sold for Saturday night's play and c represents the number of child tickets sold?

Answer:

The answer is 2

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Mass = density x volume

Mass = 178 x 25 = 4,450 grams

Answer:

The rate of change of f(x) with respect to x is 1/4

Step-by-step explanation:

What this question simply ask is to find the slope of the line that passes through the two points

to find this, we use the slope equation

we have this as;

m= (y2-y1)/(x2-x1)

(x1,y1) = ((-15,-3)

(x2,y2) = (-7,-1)

m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4

Answer:

7/25

Step-by-step explanation:

Cos x=Adjacent/hypotenuse

Clad=21/75=7/25

Answer:

4 units count the boxes from a to b and that's 4

Answer:

x = 20

Step-by-step explanation:

Answer:

maybe is

Step-by-step explanation:

[tex] \sqrt{481} [/tex]

Answer:

Root7/4

Step-by-step explanation:

Root63=(7x9)^(1/2)=3root7

CosX =adjacent/hypotenuse

Cos A=3root7/12=root7/4

Answer:

The value of cos 45° is equal to 1/√2

Answer:

Its 1/2

Step-by-step explanation:

I just took the test

Answer:

g(x) = 3(x - 5)^2 + 6

Step-by-step explanation:

(x - k) moves it to the right

8 - 2 moves it 2 down

Answer:

-4. (e) (2-7)(5–3)+32. (-5)(2) +9. -10+9. -8710. 913 - 12 - 13. Ex: Evaluate 4x-7 when x=5. 4(5)-7 ... Ex: In the following exercise we show how two linear expressions are ... equivalency of the two expressions you determined to be equivalent above? ... Ex: Determine an expression that is equivalent to 10x+15? lox+1. 5(2X+3).

Step-by-step explanation:

Here is my notes hope it helped

Answer:

12 students

Step-by-step explanation:

Here is the complete question

Alex surveyed 60 students about their favorite zoo animals and made the circle graph of the results shown below. A circle graph titled Favorite Zoo Animals is shown. There are five sections. One section is labeled Bears, one section is labled Lions, one section is labeled Monkeys, one section is labeled Elephants, and one section is labeled Giraffes.

If the angle measure of the section for giraffes is 72∘, how many students said giraffes were their favorite zoo animal?

Number of students that said the giraffe was their favorite zoo animal = (angle measuring the section for giraffes / sum of angles in a circle graph) x number of students surveyed

the sum of angles in a circle = 360 degrees

(72 / 360) x 60 = 12 students

Given:

An exponential equation passes through the points (0,4) and (2,9).

To find:

Exponential equation that passes through the given points.

Solution:

Let the required exponential function is:

[tex]y=ab^x[/tex]           ...(i)

The function passes through the points (0,4) and (2,9). It means the above equation must be true for these points.

[tex]4=ab^0[/tex]

[tex]4=a(1)[/tex]

[tex]4=a[/tex]

And,

[tex]9=ab^2[/tex]

Substituting [tex]a=4[/tex], we get

[tex]9=(4)b^2[/tex]

[tex]\dfrac{9}{4}=b^2[/tex]

[tex]\pm \sqrt{\dfrac{9}{4}}=b[/tex]

[tex]\pm \dfrac{3}{2}=b[/tex]

In an exponential function b>0. So, [tex]b=\dfrac{3}{2}[/tex].

Putting [tex]a=4,b=\dfrac{3}{2}[/tex] in (i), we get

[tex]y=4\left(\dfrac{3}{2}\right)^x[/tex]

Therefore, the required exponential function is [tex]y=4\left(\dfrac{3}{2}\right)^x[/tex].

Answer:

x ≤ 10

Step-by-step explanation:

2x-6-5 ≤ 9

2x-11 ≤ 9

2x ≤ 20

x ≤ 10

Answer: I think the perimeter is 17ab4

Step-by-step explanation:

Interpreting as: circle 8.5 inches.

Assuming

"circle"

is a geometric object

circle | radius 8.5 inches

Equation:

(x - x_0)^2 + (y - y_0)^2 = 72.

(assuming center (x_0, y_0))

Properties:

diameter | 17 inches

area enclosed | 227 in^2 (square inches)

circumference | 53.4 inches

answer is D. 17/C

Answer:

[tex]Area = 45.82m^2[/tex]

Step-by-step explanation:

Given

[tex]d = 10m[/tex] --- diameter

[tex]\theta = 210^\circ[/tex]

Required

Determine the area of the sector

The ares of the sector is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Where

[tex]r = \frac{d}{2}[/tex]

This gives:

[tex]r = \frac{10m}{2} = 5m[/tex]

So, we have:

[tex]Area = \frac{210}{360} * 3.142 * 5^2[/tex]

[tex]Area = \frac{210}{360} * 78.55[/tex]

[tex]Area = \frac{210 * 78.55}{360}[/tex]

[tex]Area = \frac{16495.5}{360}[/tex]

[tex]Area = 45.82m^2[/tex]

Answer:

15 times

Step-by-step explanation:

50% of the time, 50% of 30=15

Answer: 15 times

Step-by-step explanation:

A coin has a 50/50 chance to get either heads or tails. 50% of the time it's heads, 50% is tails. So, if you tossed a coin 30 times, you would expect the coin to land on the tail 15 times because 30 / 2 = 15.

Answer:

B. y = [x] + 3

Step-by-step explanation:

The answer to this graph would be

B. y = [x] + 3

This is because the graph is translated up by 3 units. Such that a value of 0 passed into x would give us a y value of 3 on the graph, which is represented as a black dot. For a value of -4 passed as x, the largest integer that is less than -4 would be -4 itself and if we add 3 to it due to following this function, we get a y value of -1 which is what is represented in the graph.

Answer:

the answer is 1-x5

Step-by-step explanation:

10x5 6x7+92 j0ll

Answer:

Isosceles and Right

Step-by-step explanation:

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Answer:

Isosceles and right

Step-by-step explanation:

We have a picture of triangle and are asked to name it, look at definitions below :

Isosceles - Geometrical figure with three sides and three angles

Right - Triangle where one angle is a right angle (90°)

Scalene - Triangle where all three sides have different lengths

Acute - Triangle where all three sides are less than 90°

If we look at the triangle, we can tell that it has three sides and three angles, therefore isosceles must be in one of the answer choices. Crossing out the options scalene and acute / scalene and right.

Now we have two options and we need to determine whether this triangle is an acute triangle or is a right triangle.

To figure out so we can look at the angle in the bottom left, which when measures equals to 90°. Therefore making it a right triangle and crossing out the other option.

Our answer left is Isosceles and Right.

Answer:

-5x-1/6=3/2

-5×1/6+1/6=3/2+1/6

-5×÷5×=10/6/-5x

x=-10/30

Answer:

the length of the hypotenuse must be 10.

Step-by-step explanation:

This is a right triangle, so we can apply the Pythagorean Theorem.

6² + 8² = 10²   so the length of the hypotenuse must be 10.

Answer:

D) 98/280 = p/100

Step-by-step explanation:

Since p is the missing percentage, it has to be OVER 100, so C is eliminated.

Total:

182 + 98 = 280

Spotted sheep probability:

98/280 = 0.35 or 35%

To check:

[tex]\frac{98}{280} =\frac{p}{100} \\\\280p=9800\\x=35[/tex]

Answer:

k

Step-by-step explanation: