Answer:
14
Step-by-step explanation:
1/2x = 1/7x + 5
1/2x - 1/7x = 5
7/14x - 2/14x = 5
5/14x = 5
x = 5 * 14/5
x = 14
Answer:
12 pistachios
Step-by-step explanation:
We need to find the unit rate. So we divide 5 from 15.
15/5=3
So we know that 1 bowl has 3 pistachios(which I think needs more).
Now we need to find how many pistachios are in 4 bowls. Which means we multiply 4 and 3.
4x3=12
So there are 12 pistachios in 4 bowls.
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hope it helps
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
Answer is in the photo, hope it helps. If you have any questions about the answer, please feel free to ask :)
Answer:
120 degrees
Step-by-step explanation:
It's a vertical angle, meaning that it is congruent to the one on the opposite side of it.
