The answer to the question is B
1. One way to work mixture problems like this is to consider the effect of all sales being for the smaller amount. In that case, revenue would be 135*$185 = $24,975. That is $2250 less than actual revenue. For each large system sold instead of a small one, there is $50 in additional revenue. The $2250 in additional revenue requires that 2250/50 = 45 large systems be sold.
2. We know that Rafael's overtime pay is $912.60 - 40*$14.40 = 336.60. None of the offered answers computes to the correct pay amount.
If you made a typo and the correct total pay is $921.60, then an overtime rate of 1.5 times base pay will require 16 hours of overtime; an overtime rate of 3 times base pay will only require 8 hours of overtime. Overtime hours = $921.60/$14.40 = 64 equivalent hours. Subtracting 40 hours of straight time, the resulting product of hours and multiplier will be 64 - 40 = 24. That is it could be 16 hours at 1.5 times, or 8 hours at 3 times.
3. One of the problems here is to figure the number of hours in a month. If you consider there to be 4 1/3 weeks in a month, Robin needs to work $3280/(13/3)/14.90 = 50.80 equivalent hours. The 10.80 equivalent overtime hours will be 10.80/1.5 = 7.20 clock hours, closest to 7.25 among the answers. (Other choices for weeks/hours in a month give answers that match none of those offered.)
4. $750/$19.50 = 38.46, closest to 38.50 among the answers offered.
Here we want to find the proportional relationship between the number of hours that Abdul charges the suit and the number of hours that he can fly.
We will get the proportional relationship:
y = 2*x
where y is the number of hours that Abdul can fly and x is the number of hours that he charges the suit.
<h3>Proportional relationships:</h3>
A proportional relationship is a linear relationship of the form:
y = k*x
Where k is the constant of proportionality.
We can define:
- x = number of hours that he charges the suit,
- y = number of hours that he can fly.
Now we know that if Abdul charges the suit for 1 hour, he can fly for 2 hours, then we have the pair:
Replacing that in the proportional relationship we get:
2 = k*1
Now we can solve this for k:
2 = k*1
2/1 = k = 2
From this, we can conclude that the proportional relationship is:
y = 2*x
If you want to learn more about proportional relationships, you can read:
brainly.com/question/12242745
Answer:
B
Step-by-step explanation:
This is a distance-rate-time problem, so we need to use the equation: 
, where d is the distance, r is the rate, and t is the time.
Here, we know that the total distance is 150, so d = 150. Also, we are given that Sergio's rate is 60 mph, so r = 60. Put these in:
d = rt
150 = 60t
To solve for t, we divide both sides by 60. Because we are dividing and not multiplying, we know that B is the only one that is incorrect.
Hope this helps!
Answer:
C. (x-2)^2=7
Step-by-step explanation:
What you have to do first is to get rid of the 3 in the x^2 so you will divide 3 by the whole thing to get x^2-4x=3.
You will then divide -4 by 2 and then square the answer to get 4.
You will then add the 4 into the end of the equation and to the 3 to get x^2-4x+4=7.
You will then make into a perfect square (x-2)^2=7 and that is your answer.
