Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
2. There are 18 other bottles in the fridge, because .6 of 30 is 18. 30 – 18 is 12, so there are 12 bottles of orange juice and cranberry juice.
4. If the probability of an event is 25%, then the probability of <em>not</em> that event is the other part of 100%. In other words, 1 – .25 = .75.
Refer to the diagram below for the sketch of the position of the mirror, Michelle, and the flagpole.
Using similar triangle concept, to find the height of the flagpole, we first need to find out the scale factor of the horizontal distance.
We write this as ratio
Mirror to Michelle : Mirror to Flagpole
12ft : 48ft
1 : 4
So the ratio of the height is
Michelle : Flagpole
1 : 4
5ft : 20ft
Answer: A
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
4b+21=-3b+21+7b
4b+21=4b+21
it means that the expression shows an identity
