Erin is making lemonade, She needs 12 cups
of white sugar to make 8 cups of lemonade.
She has a 32 cup pitcher to fill. How many
cups of sugar will she need?

Answer:

Adult ticket is $15

Child ticket is $5

Step-by-step explanation:

Let x = adult ticket price

     y = child ticket price

2x + 3y = 45          2x + 2y = 40

-2x - 2y = -40

          y = 5            2x + 2(5) = 40

                                 2x + 10 = 40

                                 2x = 30

                                   x = 15

The prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.

Given that, the Jones family spent $45 on movie tickets for 2 adults and 3 children.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let cost of adult tickets be x and the cost of children tickets be c.

The Jones family spent $45 on movie tickets for 2 adults and 3 children.

2a+3c=45 ------(I)

The Smith family spent $40 for 2 adults and 2 children.

2a+2c=40

a+c=20 ------(II)

From equation (II), we have a=20-c

Substitute a=20-c in equation (I), we get

2(20-c)+3c=45

⇒ 40-2c+3c=45

⇒ c=$5

Put c=5 in equation (II), we get

a+5=20

⇒ a=$15

Therefore, the prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.

To learn more about the linear system of an equations visit:

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Answer:

the given amount percentage is $15, $9 and $12 respectively

Step-by-step explanation:

The percentage of the given amounts are shown below:

a. 60% of $25 = $15

b. 25% of $36 = $9

c. 10% of $120 = $12

Hence, the given amount percentage is $15, $9 and $12 respectively

Answer:

Step-by-step explanation:

Answer:

Its the last one

Step-by-step explanation:

Your Welcome!

Answer: 1

Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)

The value of composite function (fog)(-1) = 10/3.

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

The two functions are given below:

f(x) = 8/x+2

g(x) = 4x² + 2

To evaluate the composite value  (fog)(-1), first solve for g(-1).

Put x = -1 in 'g' function

g(x) = 4x² + 2

g(x) = 4(-1)² + 2

      = 4 + 2

g(x)  = 6

Now, substitute the value of g(6) in 'f' function

f(x) = 8/x+2

f(6) = 8/6 + 2

     = 10/6

Therefore, the composite value (fog)(-1) = 10/3.

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Answer:

X is 24.

Step-by-step explanation:

Divide the surface area by 4

x=10

First you

do 4*4 then u put a random number an start from 1 so with ten it would

be 4*10/2*4=96

Answer:

...

Step-by-step explanation:

14, 18, 20

Answer:

14

16 (which is given)

18

20

Step-by-step explanation:

Answer:

The best rational approximation for the square root of 55 is 7.5.

Let me know if this helps!

Answer:

To find the distance between any two points, you can use the distance formula. However, the two ordered pairs have the same "x-coordinate" so all we really have to find is the distance of the y coordinates.

To get from 3 to -6, we have to move 3+6, or 9 units.

So, the answer would be 9 units.

Let me know if this helps!

Answer:

Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank

Answer:

A. 4:3:5

Step-by-step explanation:

Al ate 1/3, which is 4/12. Barb ate 1/4, which is 3/12. That leaves 5/12 for Calvin to eat.

Answer:

0 20

Step-by-step explanation:

x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

Answer:

they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept

Step-by-step explanation:

Slope-intercept is when you have a graph and a equation such as y=mx+b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.

y - y1 = m * (x - x1)

Answer:

RQ/PQ

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

its right

Answer:

3x³ + 12x² - 7x - 28

Step-by-step explanation:

(f • g)(x) = f(x) × g(x)

= (x + 4)(3x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - 7) + 4(3x² - 7 ) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

Answer:

answer: he spent $120

Step-by-step explanation:

20×5=100

100+ the initial $20 spent = $120

Answer:

what? do you want them to be added?

Step-by-step explanation:

Density=5250/4.5=1166.66 g/ml

Answer:

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Step-by-step explanation:

Super easy. All you do is replace the numbers in your table with the corresponding letter. In this case we have a table of s and f.

Example for row two: f = s + 12. Replace s with 4 ( 4 is from your s column so you would replace it with that) then solve and plug in your answer (When you solve your answer, it will go under f column).16 = 4 + 12 . f = 16, s = 4.

Formula = f = s + 12.

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Answer:

10

Step-by-step explanation:

Equation : 3x + 2 = 32

3x=30

x=10

Answer:

84

Step-by-step explanation:

180-51-45=84

I think this would be the answer since triangles add up to be 84 and we are just finding the last missing angle.

hope this helps :)

Answer:

the answer is c - 84

Step-by-step explanation:

every triangle adds up to 180, so if you subtract 51 and 45 from 180, you will get 84

i hope this helps, have a great day :)

Answer:

its C

Step-by-step explanation:

Answer:

The equation is: 5(x+9) = 55

This basically means that five times the quantity x+9 is equal to 55.

Let me know if this helps!

Answer:

50.24

Step-by-step explanation:

equation A=pi R^2

r^2 = 4^2 = 16

16*3.14 = 50.24

Answer: 50.24

Step-by-step explanation:

Answer:

- 2, - 1, 0, 1

Step-by-step explanation:

Consider the integers that satisfy each inequality

- 3 < x < 2

solutions are x = - 2, - 1, 0, 1

- 2 ≤ x ≤ 2

solutions are x = - 2, - 1, 0, 1, 2

Thus the integer values that satisfy both are common to both, that is

x = - 2, - 1, 0, 1

Answer:

1) 20: 25

2) 15: 3

Step-by-step explanation: