Answer:
In each bag there will be 1.82 ounces of mixture.
Step-by-step explanation:
Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:
(22 + 11.2 + 12.3) / 25 = X
45.5 / 25 = X
1.82 = X
Thus, in each bag there will be 1.82 ounces of mixture.
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:
D(5,-8)
Step-by-step explanation:
The given point is (-3,-2)
When we reflect in the line y=k, we use the rule (x, 2k-y)
This implies that:
When we reflect in the line x=k, we use the rule
Now we have x=1
This implies that:
The answer is A. 5/12
Hope it helped!
Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.
Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.
6(4) - 14 = y
24 - 14 = y
10 = y
10 = 10
Whereas for option B:
6(4) + 14 = y
24 + 14 = y
38 = y
38 ≠ 10
Option A is your answer.
