A. Geometric
b. a curve sloping steeply upwards (exponential)
c. nth term an = a1r^(n-1)
nth term = 4(4)^(n-1)
(5/8) × 48 = (8/15) × n
Multiply by the inverse of the coefficient of n. That inverse is 15/8.
n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4
5/8 of 48 is equal to 8/15 of 56 1/4
<h3>
Answer: 10 cm (choice A)</h3>
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Explanation:
One equation we could solve is
x/2.5 = 30/7.5
Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.
Solving for x leads to...
x/2.5 = 30/7.5
x*7.5 = 2.5*30
7.5x = 75
x = 75/7.5
x = 10 (choice A)
There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5
These proportions are possible due to the fact we have similar triangles.
To solve, start with this equation

So, 8 times 3 gives you how long they spent on art and 8 times 4 gives you how long they spent on science. So they spent...

and...
Answer: A) 18.3 x 7 and D) 5.4 x 2.8
Step-by-step explanation:
A) 18.3 x 7 = 128.10
We can infer that 1 is in the tenths place.
B) 6.5 x 4.31 = 28.015
We can infer that 1 is not in the tenths place but rather the hundredths place.
C) 8.54 x 2.3 = 19.642
We can infer that 1 is not in the tenths place.
D) 5.4 x 2.8 = 15.12
We can infer that 1 is in the tenths place.