Answer:

Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction
</u>
We need to convert the following decimal to a fraction:

Let's call x to the given number:

The number has two repeating (periodic) decimals, thus we multiply by 100:

Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:

Operating:
99x=-37
Dividing by 99:

The fraction cannot be simplified, thus:

Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12
If u are using i as a variable the answer would be i= 3.
A=LW, we are told that the dimensions are 42 and 48 so:
A=42*48
A=2016in^2
Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.
(If there is any more you would like to add to the question I can answer that.)