Answer:
The problem basically is saying that find two numbers that add up to 8, where one is three times the other.
Step-by-step explanation:
The best thing to do here is to write a simple system of equations.
b+y=8
b=3y
The first equation means that the total blue paint plus the total yellow paint is equal to 8 ounces.
The second equation means that the blue paint is equal to 3 times the yellow paint.
We can isolate b in the first equation to get b=-y+8
-y+8=3y
8=4y
y=2.
So we have that she needs two ounces of yellow paint.
Therefore she needs six ounces of blue paint.
Drag the yellow bar to 2, and the blue bar to 6.
Hope this helps!
3(1.45)+4.2(1.75)= 5.25+7.35= 12.6 therefore Harold spent $12.60 on apples.
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
I'm not 100% sure what this all means because I'm in a different school but, I believe they have a side length of 4600.
P.S. If it doesn't work, I am so sorry
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
