First divide 255 from 15 hours to get the amount he gets payed per hour
255/15 = 17 dollars per hour
Then multiply 17 to 8 hours to get the total for 8 hours
17 x 8 = 136
He makes $136 in 8 hours
hope this helps
Answer:
cup of pineapple juice.
Step-by-step explanation:
We are told that Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. In order to get the number of cups of pineapple juice Francine will use for 1 cup of orange juice, we will apply the following expression;
2/3 cup of pineapple juice = 1/3 cups of orange juice
1 cup of pineapple juice = x cups of orange juice
Cross multiply
divide both sides of the equation by 3
divide both sides by 2
Hence Francine uses number of cups of pineapple juice for 1 cup of orange juice.
We have:
Thus:
Adding
gives:
Factoring gives:
Thus, we have:
or
.
Note that because
, there will be no solutions
of the form
for positive integer
and solution
. So we find the basic values of
giving
.
For
with positive
,
(this can be seen easily from the unit circle. But
, a contradiction. So we examine the case in which
.
In this case,
. So this is the only solution to this equation.
Substituting this back in, we have
, as desired. So this is a valid solution.
Thus,
.
Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).
We know that perimeter of the triangle its a+b+c=570
Moreover we know that:
a=b
b=b
c=2b-30
Finally we can substitute into our formula
b+b+2b-30=570
4b-30=570 /+30
4b=600 /:4
b=150 - its a and b side
c=2*b-30
c=300-30
c=270 - its c side