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Alecsey [184]
3 years ago
7

A punch recipe says to mix 4 cups pineapple juice 8 cups orange juice and 12 cups seltzer in order to make 18 servers of punch.H

ow many servers can be made from 108 cups of punch?
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0
81 servings. I found this by making a ratio:
24 c            108 c
-------     =    -------
18 ser            x
I then cross multiplied to get the equation: 24x=1,944. I solved this equation to find x, the number of servings in 108 cups, which was 81. 

I remember doing this back in elementary school. I had a hard time with it too!
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Q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Lelu [443]

Answer:

q(x) =-5

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

q(x)= \frac{1}{2}x - 3

While we are to find:

q(x) =-4

In Function Notation, replace all the "x" you see with the value you are given.

So, in this case,

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3

Would become

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3

Now we can solve.

\frac{1}{2}(-4) - 3

Use PEMDAS; Parenthesis first;

\frac{1}{2}(-\frac{4}{1})

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

(-2) - 3

-5

Therefore, the value of x is -5

8 0
2 years ago
The distance from the origin to the point ​(-24​, 32​) is
Zepler [3.9K]
The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40
6 0
3 years ago
Solve the system by graphing.
nlexa [21]

When solving a system by graphing you need to see where the lines intersect.

Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1

The red dot represents the intersection is about (1, 5)

The original point is: (1.667, 5.667)

Hope this helped!

4 0
3 years ago
Two numbers whose sum is 29 and their difference is 15
n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

6 0
2 years ago
the tigers won twice as many football games as they lost. they played 96 games. how many games did they win?
alukav5142 [94]
Half of 96 is 48 and they won twice as many as they lost.. how can this math problem be real XD
7 0
3 years ago
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