PEMDAS
2.5x + 0.1x = 2.6x
2.6x - 0.01x = 2.59x
Answer:
The correct answer is the last option.
Step-by-step explanation:
When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.
For the expression:
The denominator conjugate is 4 + 2i
When multiplied, the denominator is:
Answer:
13) 25 and 17
14) cupcakes = $5
brownies = $3
Step-by-step explanation:
13) you can set this up as equations
so x + y = 42
x-y = 8
solve simultaneously by subtracting from each other
2y = 34
y= 17
if y = 17
42 - 17 = 25 = x
14) set up as equations again
Ben 7c + 10b = 65
franklin 7c +7b = 56
subtract from eachother
3b = 9
b = $3
7c + 10(3) = 65
7c = 35
c = $5
keeping in mind that vertical angles are always congruent.
Answer:
a) 300 + 80h = x
b) $780
Step-by-step explanation:
So, the original cost is $300, plus an additional $80 times the number of hours rented.
h will represent the number of hours rented
x will represent our total cost (use whatever variable your teacher expects :))
300 + 80h = x
This is our equation. Now, we want to find the cost for 6 hours. Substitute 6 in for h.
300 + 80(6) = x Solve for x.
300 + 480 = x
780 = x This means the total cost for 6 hours will be $780.
Hope this helps :)
NOTE: I noticed in part a, it referred to a "dunking booth". I solved this problem as if that was a typo and they were referring to the jumper.
