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Ilia_Sergeevich [38]
2 years ago
7

Kelly is having a party. She wants to make punch. The recipe for punch uses 3 pints of pineapple juice, 5 cups of orange juice,

3 4 gallon of lemonade, and 1 quart of apricot nectar. Kelly says her recipe will make 28 cups of punch. Is Kelly correct? Complete the explanation about your answer.
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

Kelly is wrong and the recipe will make 19 cups of punch.

Step-by-step explanation:

It says:

The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,

Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)

Orange juice = 5 cups

Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)

Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)

Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.

Thus, Kelly is wrong and the recipe will make 19 cups of punch.

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The Pythagorean theorem states that a^2+b^2=c^2 when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

<u>1) Question 1</u>

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

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<u>2) Question 2</u>

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

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