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.

Answers

Answer 1
Answer:
The price of a drink = $4
The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink
Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79
Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50
Now multiply first equation by -3 and second equation by 10
-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237
10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365
Now add the new equationd
30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)
32d = $128 divide both sides of the equation by 32
32 ÷ 32d = 32 ÷ $128 ➡ d = 4
If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn
3p + 5d = $36.50 (replace d with 4)
3p + 4×5 = $36.50
3p + 20 = $36.50
3p = $36.50 - 20
3p = 16.50 divide both sides by 3
p = $5.5
Answer 2

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g


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A is the answer in here

2.) Find the area of a rectangle with base length 10 cm and diagonal
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O(A) 111.8 cm
O (B) 150.0 cm
(C) 167.7 cm
O (D) 180.0 cm

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i think answe is b


B final answer

Why do equivalent ratios form a straight line when graphed?

Answers

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:

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Step-by-step explanation:

edgen

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Answers

Answer:

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Step-by-step explanation:

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

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Answer:

D

Step-by-step explanation:

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Can someone plz help me with this one problem plsss ??!!

Answers

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 :)

large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?

Answers

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

The table shows the results of a survey of 150 students. Use the table to find the probability of a student participating in each sport.

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Can someone please help!

Answers

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.

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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.

What type of association (positive, negative, no) is shown between the price of a ticket and concert attendance?

Answers

Answer:

positive

Step-by-step explanation:

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Answers

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

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Step-by-step explanation:

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Answer:

There is no graph

Step-by-step explanation:

*I see

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Find the value of w.
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400
w
z
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Answers

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°

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?

Answers

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°

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Circle Geometry

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.

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<ACB = 25°

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

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Given

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Required [Missing from the question]

Represent as an inequality

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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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.

Need help fast.

14 points


Answers

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

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y=x^3+2 , It’s the answer ;)
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Answers

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.

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Givens

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Answers

Answer:

she would need 7 ounces

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

E
1)
AC = 9 cm
AB = 3 cm
DE = 20 cm
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20 cm
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Calculate the length of CD.
Give your answer to 3 significant figures.
50°
А
D
→B
3 cm

Please could you could give me a step by step.

Answers

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

Can anyone help me wit this please, with an explanation

Answers

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)

Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21

Answers

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].

Which of the following could be the equation of the quadratic shown below?

Answers

Answer:

option A

Step-by-step explanation:

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

Firstly we see that the parabola opens downwards , so the coefficient of a will be negative .

Secondly we can observe the graph cuts y axis above the x axis . So the sign of constant will be positive .

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

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

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