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elena55 [62]
3 years ago
12

Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many

gallons of punch should she make for her party?
Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

8 gallons

Step-by-step explanation:

#1: Set up a ratio from the recipe: gallons of punch to the number of people.

2 gallons 15 people

#2: Set up a ratio of gallons to the people coming to the party.

(Place the gallons on top) x gallons 60 people

#3: Set up a proportion 2 gallons       x gallons

                                       15 people  =    60 people

* Like units should be across from each other

4) Solve using the "lonely mate" formula

2 gallons           x gallons

15 people  =     60 people

2 x 60 = 120

120/15 = 8

This means she should make 8 gallons.

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Find the area of the shaded region to the nearest tenth. See picture for full problem. Please and thank you so much!
Anestetic [448]

Answer:

Step-by-step explanation:

Radius =6 ft

Area of circle = πr²

                      = 3.14 * 6 * 6

                      = 113.04 ft²

base = 10.39 ft

height = 6+3 = 9 ft

Area \ of \ triangle = \dfrac{1}{2}*base * height\\\\\\=\dfrac{1}{2}*10.39*9\\

= 46.76 ft²

Area of the shaded region = area of circle - area of triangle

             = 113.04 - 46.76

            = 66.28

             = 66.3 ft²

8 0
3 years ago
Simplify 8^6 divided by 8 plssss :/
kolezko [41]

Answer:

<h3>.8^6/8</h3><h3>( 262,144)/8</h3><h3><u>=</u><u> </u><u>3</u><u>2</u><u>,</u><u>7</u><u>6</u><u>8</u></h3>

Step-by-step explanation:

<h2>Hope that will help you</h2>
7 0
4 years ago
Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age. The system below models the
Andrews [41]

I'm afraid I don't see the models you have written about although I do know the answer. (C= Courtney's age, S= Shilo's age)

Shilo is 7 years older then Courtney, which equals to C+7=S.

While at the same time Shilo is 13 years younger then twice Courtney's age. This turns into Cx2-13=S.

c+7=cx2-13. This is the equation, now lets work it out.

Add 13 on each side and you get

c+20=2c

Now we subtract c from each side and we get

20=c Therefor we have found out that Courtney is 20 years old.

Shilo being 7 years older then Courtney is 27


8 0
4 years ago
Bobby’s bedroom is 15 feet in length.how long is his bedroom on a scale drawing that uses a scale of 1/2 in = 3 feet
kolezko [41]

Answer:

2.5 or 2 1/2

Step-by-step explanation:

divide 15 by 3 and you'll get 5. multiply 1/2 by 5 and you get 2.5

4 0
2 years ago
\large -6x+6y=6<br> \large 6x+3y=12
Kaylis [27]

Answer:

the solution of the system is:

x = 1 and y = 2.

Step-by-step explanation:

I suppose that we want to solve the equation:

-6*x + 6*y = 6

6*x + 3*y = 12

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate y in the first equation:

6*y = 6 + 6*x

y = (6 + 6*x)/6

y = 6/6 + (6*x)/6

y = 1 + x

Now we can replace this in the other equation:

6*x + 3*(1 + x) = 12

6*x + 3 + 3*x = 12

9*x + 3 = 12

9*x = 12 - 3 = 9

x = 9/9 = 1

Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.

y = 1 + (1)  = 2

Then the solution of the system is:

x = 1 and y = 2.

6 0
3 years ago
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