All categories

3 years ago

Sara sold hotdogs and drinks at the soccer game.

Mathematics

1 answer:

Anarel [89]3 years ago

7 0

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

You might be interested in

20 = n − 4, what is n?

Dovator [93]

Answer:

N = 24

Step-by-step explanation:

24 - 4 = 20

3 0

2 years ago

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

3 years ago

What percent of 4 is 1?

Flauer [41]

Lets take 100 and divide it by 4 to get 25, this means that 1 first part of 100 is 25 these means that the porcentage of 1 in 4 is 25%

Hope this helps

8 0

3 years ago

A rectangle is 36 inches x 48 inches.<br><br> what is the perimeter.?<br><br> what is its area.?

olga nikolaevna [1]

For area, just multiply the length x width
So therefore, multiply 36 inches x 48 inches and there you have it.

Now for the perimeter, it is a little different
You'd have to add the sides up together to get your answer for the perimeter.
So, 36 in + 36 in + 48 in + 48 in = answer

3 0

3 years ago

Read 2 more answers

Claudia was cooking breakfast for her entire family she may double the amount of chocolate chip pancakes as she did regular panc

maw [93]

Answer: she made 36 chocolate chip pancakes, 18 regular pancakes, 9 blueberry pancakes and 27 sausagesl

Step-by-step explanation:

Let w represent the number of chocolate chip pancakes that she made.

Let x represent the number of regular pancakes that she made.

Let y represent the number of blueberry pancakes that she made.

Let z represent the number of sausages that she made.

she made double the amount of chocolate chip pancakes as she did regular pancakes. This means that

w = 2x

x = w/2

she only made half as many blueberry pancakes and she did regular pancakes. This means that

y = x/2

y = w/4

she made triple the amount of sausage as blueberry pancakes. This means that

z = 3y

z = 3w/4

if she cooked 90 items total, it means that

w + x + y + z = 90 - - - - - - - - - -1

Substituting x = w/2, y = w/4 and z = 3w/4 into equation 1, it becomes

w + w/2 + w/4 + 3w/4 = 90

Multiplying through by 4, it becomes

4w + 2w + w + 3w = 360

10w = 360

w = 360/10

w = 36

x = w/2 = 36/2

x = 18

y = w/4 = 36/4

y = 9

z = 3y = 3 × 9

z = 27

6 0

3 years ago