To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.
Answer: 11
Step-by-step explanation:
275% × 4 =
(275 ÷ 100) × 4 =
(275 × 4) ÷ 100 =
1,100 ÷ 100 = 11
Answer: The last paper has to be 99 over 100 to move the class average by 1 point
Step-by-step explanation:
total points on the 23 exams: 23*75 = 1725
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For 24 papers to average 76 points you need 24*76= 1824
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Score on the final paper would have to be (1824-1725) = 99
(4, 2) and (8, 1) (option D)
Explanation:
The given equation:
y = 4x - 1
comparing with equation of line:
y = mx + c
m = slope = 4
c = y-intercept = -1
For a line to be perpendicular to another line, the slope of one line will be the negative reciprocal of the other line.
We need to find the option which will give a negative reciprocal of 4.
a) (1, -3) and (2, 1)
b) (-4, 7) and (-1, -5)
c) (-8, -4) and (0, -2)
d) (4, 2) and (8, 1)
slope = 4
reciprocal of 4 = 1/4
negative reciprocal = - 1/4
Hence, the option whose slope gives the negative reciprocal of 4 is (4, 2) and (8, 1) (option D)
Answer:
k=3
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In this problem we have
therefore
The constant of proportionality is k=3