Hi there! To solve this question, we can just simply multiply 3 1/8 and 5, because we're looking for the total length of the board, before it was cut into 5 equal pieces. To multiply fractions, just do it straight across. Numerator * numerator / denominator * denominator. 3 1/8 as a mixed number is 25/8 and 25/8 * 5/1 is 125/8 or 15 5/8 in mixed number form. There. The board was 15 5/8 inches long. The answer is D.
$30 is 60% of $50.
100 % is the whole figure. Based on the problem, 100 % is separated into two parts, 60% and 40%
100% = 60% + 40%
To get the number where $30 is 60%. Let X be the 100% number.
First, divide all number by 100% to remove the percentage and get the whole number.
100%X = 30 + 40%X
X = 30 + 0.40X
X - 0.40X = 30
0.60X = 30
To get X, divide both sides by 0.60
X = 30 / 0.60
X = 50
To check: Substitute all X by 50.
X = 30 + 0.40X
50 = 30 + (0.40*50)
50 = 30 + 20
50 = 50 EQUAL. CORRECT.
Answer:
See below
Step-by-step explanation:
<u>20% loss a year with initial value of £6000 can be shown as function:</u>
V(t) - is the value after t years
a) t = 1 year
b) t = 3 years
- V(3) = 6000*0.8^3 = £3072
c) t = 8 years
- V(8) = 6000*0.8^8 = £1006.63
