Answer:
1 1/3
Step-by-step explanation:
Solve. Change the division sign into a multiplication, and flip the second fraction:
(8/15)/(2/5) = (8/15) x (5/2)
Multiply across:
(8 x 5)/(15 x 2) = (40)/(30)
Simplify. Divide common factors:
(40/30)/(10/10) = 4/3
4/3 or 1 1/3 is your answer.
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When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
a) 40 = 8b
b) b = 5
Step-by-step explanation:
(b) 40 = 8 × b
40 ÷ 8 = b
5 = b
Answer: D) The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
Step-by-step explanation:
In the table shown, the estimated time for language arts is greater than the estimated time for math. They can answer 25 math questions in 87 minutes, whereas for language arts, they take 88 minutes to answer 20 questions. Therefore, the slope for LA is greater than the slope for Mathematics. Hope this helps :)
