27. B
28. 800 more people
29. He should receive $11.20 back. I came up with this by taking 81 (the total cost of the items) and subtracting 15%. After that, I got 68.85-the price after using the coupon. Then, I added the total amount of money he had and came up with 80 (he had 4 twenty dollar bills). Finally, I took away 68.85 from 80 and ended with the answer 11.20.
30. Store b is offering a better deal for the shoes. After using the percent discount for store a, I came up with 59.50. However, when I did the same with store b, I ended with 51.30, the better deal of the two stores.
Using proportions, it is found that he can sort 2160 pieces in 45 minutes.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He can sort 8 pieces of mail in 10 seconds, hence the number of pieces he can sort per second is given by:
8/10 = 0.8 pieces per second.
45 minutes have 45 x 60 = 2700 seconds, hence the number of pieces is:
2700 x 0.8 = 2160 pieces.
He can sort 2160 pieces in 45 minutes.
More can be learned about proportions at brainly.com/question/24372153
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Given:
The equation of line is
To find:
The x-intercept and y-intercept.
Solution:
The equation of line is
Putting x=0, we get
So, the y-intercept is (0,3).
Putting y=0 in the given equation, we get
So, the y-intercept is (-3,0).
Therefore, the coordinates of the point where the line intersects the y-axis are (0,3). The coordinates of the point where the line intersects the x-axis are (-3,0).
Answer:
<h2>11.25min</h2>
Step-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
