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Leya [2.2K]
3 years ago
9

Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade

cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up? What equation would I use to find the answer?
Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

  • Iced tea is $4.50 per gallon
  • Lemonade is $4.75 per gallon

Step-by-step explanation:

<u>Price</u>:

  • Iced tea = x, lemonade = y

<u>Equations</u>:

  • 2x + 3y = 23.25
  • 5x + 4y = 41.50

<u>Multiply the first equation by 5 and the second equation by 2 and subtract to eliminate x:</u>

  • 5(2x + 3y) - 2(5x + 4y) = 5(23.25) - 2(41.50)
  • 10x + 15y - 10x - 8y = 33.25
  • 7y = 33.25
  • y = 33.25/7
  • y = 4.75

<u>Use the first equation to find x:</u>

  • 2x + 3(4.75) = 23.25
  • 2x = 23.25 - 14.25
  • 2x = 9
  • x = 9/2
  • x = 4.50

Iced tea costs $4.50 per gallon

Lemonade costs $4.75 per gallon

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Paladinen [302]

Answer:

132cm^2

Step-by-step explanation:

first break the shape up into component shapes. the shape is made of two rectangles and two triangles. the area for a rectangle is A=BH where b is base and h is height. the area of a right triangle is BH/2 where b is the base and h is the height. you are given the base and height of the top rectangle 4x7. To find the area of the triangles and the second rectangle you have to do some algebra. the total base length is 19cm and the top rectangle has a length of 7cm so 19-7 leaves you with 12cm to spare and there is two symmetric triangles on each side so 12/2 is 6. now we know all the measurements and can solve.

3 0
3 years ago
Please check these please
antoniya [11.8K]

-5x=60

The first thing we want to do is to divide -5 on both sides. We do this because -5x, is the same as -5 times x and we want to do the inverse of that.

After we divide on both sides, we get    x=60/-5

We know that 60 divided by -5 is -12.

Therefore our answer is:      x=-12

----------------------------------------------------------------------------------------------------------

5= n + 2

We always want to get the variable to be alone, so if we subtract by 5 we would be doing the opposite of getting the variable alone. Although, if we subtract by 2 on both sides, we would get the variable alone and the answer would be 3=n

Therefore our answer is:       False

----------------------------------------------------------------------------------------------------------

2(x-7)

By looking at this question, we see x being subtracted by 7. Then we see that 2 is being multiplied to that.

Therefore our answer is:        C

----------------------------------------------------------------------------------------------------------

The product of a number and 4 increased by 8

In these types of questions, it's smart to break it up. We will start with the product of a number and 4. We know that a number is a variable and if we look at the multiple choice answers we can see that the variable they chose to use is n. We also know that a product is when numbers get multiplied. So that means 4 and n get multiplied which turns into 4n.

For the other part of the problem, we know that increased by 8 means added my 8. Now that we got our answers, we put then together.


Therefore our answer is:       A    4n+8

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Pls give a like if this helped you!!!

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Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?
Nady [450]

x = Elgas age

2x = Alvins age

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Elga is 20 years old

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A school playground is in the shape of a rectangle 500 feet long and 400 feet wide. If fencing costs $12 per​ yard, what will it
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