Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
= 
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b =
One root is 1.0791561975888, the other is -0.57915619758885.
Hanna bought 85 candies and ate 20 of them. How many candies are left?
The annual discount is 3%, therefore the total discount for 1 year would be:
4300 × 3 ÷ 100 = 129$
Now, you can set a proportion:
discount : annual discount = loan days : days in one year
21 : 129 = x : 360
x = 21 × 360 / 129 = 58.6 days
Hence, the loan duration was 60 days.
Answer:
For every 1 cup of banana you have to add 6 cups of apples. So it means there's six times as much apples as there is bananas. If there's 3 cups of apples, which is half of 6, it means the banana would now also have to be halved from 1 to half a cup.
Whatever you do to the bananas or the apples, you have to maintain the same ratio. Which is that apples is 6 times as much as bananas.
So 1 cup of apple would need to be divided by 6, to get banana. That would be approximately 1÷6= 0.167 cups
