Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
.3455 is the correct answer.
Answer:
x = 1/y
Step-by-step explanation:
1
(a) The total cost, C, is given by:

b) With 3 ounces of toppings, we have


Hence Evan's ice cream would cost $4.50
Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is
.
- inner circle:

- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:

Calculating greater chance:
Divide the larger area by the smaller area:

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.