arper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each drink. Define the variables that you use to write the system.

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

Answer:

give the full questions please

Answer: its Square but the top one is rectangle

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

Answer:

See below

Step-by-step explanation:

Using the table of 150 students, we can configure probabilities.

18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.

45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.

12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.

9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.

Answer: 147.2

Step-by-step explanation:

Ok, so- ! Perimeter is basically each side added up, or, in this situation, times four :). They already gave you the total, so all you need to do is divide 36.8 by four, leaving you with 9.2 ! Hope this helped :)

Answer:

she would need 7 ounces

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17

Answer:

B) 4.52cm²

Step-by-step explanation:

If the shaded area represents 1/4 the area of a circle, then given a diameter of 4.8cm, the area of the entire circle is A=πr²=π(4.8/2)²=π(2.4)²=5.76π=5.76(3.14)=18.0864cm²

Since we're finding 1/4 the area of the circle, then 1/4*18.0864=4.5216cm²

So the shaded area is 4.5216cm², making the closest choice B) 4.52cm²

Answer:

2

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

Answer:

There is no graph

Step-by-step explanation:

*I see

*I think

*I think before I speak

*I say " There is no graph

I try to make people laugh when they mess up a little, we all mess up

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

Answer:

you multiply im pretty sure

Step-by-step explanation:

Answer:

Maria :>

Step-by-step explanation:

because Gross Income is what you take out of your net income. so if your taking something out of it, that means its less.

Answer:

ΔABC → ΔA'B'C'

7 up and 6 right

(x - 6, y + 7)

ΔA'B'C' → ΔA''B''C''

Reflection over the x-axis

(x, -y)

Answer:

answer is A

hope it helps

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

Answer:

b) ∠ACB = 25 degrees

Step-by-step explanation:

arc BA = 50° because central angle AOB = 50°

∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°

The measure of angle ACB is 25°. The correct option is a. 25 degrees

From the question, we are to determine the measure of angle ACB

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference.

That is, in the given circle

<AOB = 2 × <ACB

Then,

<ACB = 1/2(<AOB)

<ACB = 1/2 × 50°

<ACB = 25°

Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees

Learn more on Circle theorems here: https://brainly.com/question/16879446

Answer:

option A

Step-by-step explanation:

There's no data provided in the graph. We can interpret from the options provided .

All these matches with option a . Hence option A is correct .

[tex]\implies y = -2x^2 + 8x + 7 [/tex]

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].

Answer:

36 units of small size popcorn

23 Units of Large popcorn

Step-by-step explanation:

Data:-

Cost of large bag of popcorn = $4/-

Cost of Small bag of popcorn = $3/-

Unit Sold = 59 Bags

Sale = $200.

Required:-

No of unit each size sold = ?

Solution:-

After applying direct formula to computation is below mentioned:

= (36 x 3)+(23x4)

=$200

Answer:

the first one n second one

Answer:

25%

Step-by-step explanation:

15 is 50% 7.5+7.5= 15=50% =25%+25%

Answer:

w = 54°

Step-by-step explanation:

The inscribed angle w is half the measure of its intercepted arc, that is

w = [tex]\frac{1}{2}[/tex] × 108° = 54°

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

Answer:

yes and no

Step-by-step explanation:

0.999... is as close as you can get to 1 and not actually be there.

Most people just round up to 1

Answer:

y-y1=m(x-x1)

y-(-6)=-3(x-4)

y+6=-3x+12

y=-3x+6the final answer