MATHEMATICS MIDDLE SCHOOL

Kelly is having a party. She wants to make punch. The recipe forunch uses 3 pints of pineapple juice,5 cups of orange juice, gallon ofade, and 1 quart of apricot nectar.Part AKelly says her recipe will make 20 cups of punch. Is Kelly correct?Explain your answer.
Kelly is having a party. She wants to make punch. - 1

Answers

Answer 1
Answer:

Answer:

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

Step-by-step explanation:

We are given that,

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

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

Orange juice = 5 cups

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

Apricot nectar = 1 quart = 4 cups .........................(As 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.
Answer 2
Answer: No she is not because a galloon equals 16 cups, a quart equals 4 cups, and a pint equals 2 cups. So altogether including the other 5 cups, it would be 27 cups.

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Answers

Answer:

The y-intercept is (0,-1).

Step-by-step explanation:

The graph moved down -1 because of the -1 in the equation.

1: a 24 ounce box of cornflakes cost $4.59?2: a 36 ounce box of cornflakes cost $5.79?

what are the unit rates for those two and one more question: which is the better gbuy

Answers

Answer: 1. 0.19125 dollars per ounce, 2. 0.16083 dollars per ounce.

Step-by-step explanation:

In first question,  a 24 ounce box of cornflakes cost $4.59

Therefore, 24 ounce = 4.59 dollars

⇒ 1 ounch = (4.59)/(24) dollars

⇒ 1 ounch = 0.19125 dollars

⇒ Price of 1 ounce box of cornflakes equals to 0.19125 dollars.

⇒Thus the unit rate price of cornflakes = 0.19125 dollars per ounce

In first question,  a 24 ounce box of cornflakes cost $4.59

Therefore, 36 ounce = 5.79 dollars

⇒ 1 ounch = (5.79)/(36) dollars

⇒ 1 ounch = 0.16083 dollars

⇒ Price of 1 ounce box of cornflakes equals to 0.16083  dollars.

⇒Thus the unit rate price of cornflakes = 0.16083  dollars per ounce
The unit rate for the 1st one is: $0.19 / ounce

The unit rate for the 2nd one is: $0.16 / ounce

The 36 ounce box would be the better buy because it is less per ounce than the 24 ounce box

How much miles is a light year

Answers


1 light-year = roughly  5,874,601,700,000 miles.  (rounded)

To work it out, take the speed of light, and change units a few times:

          (186,282.397 miles/second)
times
          (86,400 second/day)
times
          (365 day/year)

    =   (186,282.397 x 86,400 x 365)  mile/year .

You can whip that out on your calculator in no time.
 

5,000=_×1,000 what is tge anwser need asap

Answers


The answer is 5 because you would multiply 5 by the 1,000 to get 5,000
the answer would be 5,000 because 5x1=5.So all you have to do is add the 000 to it and the answer would be 5,000

What is the radius of the circle given the equation x 2 - 6x + y 2 + 10y - 2 = 0?

Answers

we are given

x^2-6x+y^2+10y-2=0

Firstly, we will change it into standard equation of circle

that is

(x-h)^2 +(y-k)^2 =r^2

where r is radius

(h,k) is center

now, we can change our equation into this form

To change our equation into this form, we need to complete x square and y square

x^2-6x+y^2+10y-2=0

step-1: Move 2 on right side

x^2-6x+y^2+10y-2+2=0+2

x^2-6x+y^2+10y=2

step-2: Complete x square

x^2-2*3*x+y^2+10y=2

x^2-2*3*x+3^2+y^2+10y=2+3^2

(x-3)^2+y^2+10y=2+3^2

step-3: Complete y square

(x-3)^2+y^2+2*5*y=2+3^2

(x-3)^2+y^2+2*5*y+5^2=2+3^2+5^2

(x-3)^2+(y+5)^2=2+3^2+5^2

step-4: Combine right side terms

(x-3)^2+(y+5)^2=36

(x-3)^2+(y+5)^2=6^2

now, we can compare with our equation

and we will get

radius =r=6...............Answer

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Answers

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