The number of students in Mr. Boggs’s homeroom is equal to b. Add the total number of students in each class and set it equal to 90.
90 = b + 1.5(b + 2) + 15 + (2b – 9)
Use the Distributive Property, and collect like terms. 90 = b + 1.5b + 3 + 15 + 2b – 9
90 = 4.5b + 9
Step-by-step explanation:
1075 students were asked how close they live to the college. The table shows the results below with some values missing. Enter the correct values in the boxes remembering to use the % symbol where necessary.
<u>20 to 25: </u>given 20%
20% of 1,075 = 215
<u>15 to 19: </u>given 12%
12% of 1,075 = 129
<u>10 to 14: </u>given 516 students
(516/1,075)*100 = 48%
<u>5 to 9: </u>given 162 students
(162/1,075)*100 = 15.07%
<u>< 5: </u>given 53 students
(53/1,075)*100 = 4.93%
Answer:
The mean = 17.54
Step-by-step explanation:
Form a table as below;
<u>Interval Frequency{f} Midpoint of frequency{x} fx </u>
1-7 19 4 76
8-10 14 9 126
11-15 15 13 195
16-20 20 18 360
21-35 10 28 280
36-50 13 43 559
Sum 91 1596
The mean of grouped data = Sum of { Interval Midpoint * Frequency } /Sum of frequency
The mean= 1596 / 91
The mean = 17.54
Step-by-step explanation:
y = -2x + 1. => Slope = -2
Then the perpendicular line will have a slope of -1/(-2) = 0.5.
We have y = 0.5x + c.
When x = 4, y = -3.
=> (-3) = 0.5(4) + c, c = -5.
Hence the answer is y = 0.5x - 5. (C)
Answer:
$123.25
Step-by-step explanation:
A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or 1.45:
1.45($85) = $123.25
