Answer:
<em>The correct option will be: </em>
Step-by-step explanation:
Suppose, the amount of cherry juice is quarts.
As, the total amount of the juice is 8 quarts, so the amount of lime juice will be: quarts.
Given that, cherry juice costs $5 per quart and lime juice costs $3 per quart.
So, the cost of quarts of cherry juice dollars and the cost of quarts of lime juice dollars.
Thus, the <u>total cost of the mixture</u> will be: , which is given as $36.
So, the equation that can be used to determine the amount of cherry juice in each mixture will be:
Answer:
x=4
Step-by-step explanation:
Well bud, you may have overthought this one a bit too much. It pretty much requires one simple move and then you good. All you gott do is multiply both sides by (-6/5) and that in itself isolates x. This was done because inverses cancel out to 1, and a negative 1 times a negative 1 equals a positive 1. What you get after multiplying both sides by (-6/5) is x=(-10/3)(-6/5) Now all you have to do is multiply and simplify, giving you x=4. You should be gucci now, cuz I got you homie. ;)
Answer/Step-by-step explanation:
Since ∆PHS ≅ ∆CNF, therefore:
<P ≅ <C,
<H ≅ <N
<S ≅ <F
Thus:
Since, <P ≅ <C, therefore,
36° = (4z - 32)°
36 = 4z - 32
Add 32 to both sides
36 + 32 = 4z
68 = 4z
Divide both sides by 4
68/4 = z
17 = z
z = 17
Since <H ≅ <N, therefore:
6x - 29 = 115°
Add 29 to both sides
6x = 115 + 29
6x = 144
Divide both sides by 6
x = 114/6
x = 24
m<F + m<C + m<N = 180° (sum of ∆)
(3y - 1) + (4z - 32) + 115 = 180 (substitution)
Plug in the value of z and solve for y
3y - 1 + 4(17) - 32 + 115 = 180
3y - 1 + 68 - 32 + 115 = 180
3y + 150 = 180
Subtract 150 from both sides
3y = 180 - 150
3y = 30
y = 10
It can only go twice. 26 x 2 = 52, but 59 - 52 is 7, which is smaller than 26. So the final answer should be 2.
Hope this helped! :)