You add them and then it would be 30.6898033492
Answer:
The solution for y is y = 2x + 1
Step-by-step explanation:
* <em>Lets explain how to solve an equation for one of the variables</em>
- We need to solve the equation 16x + 9 = 9y - 2 x for y
- That means we want to find y in terms of x and the numerical term
- the equation has two sides, one side contains x and numerical term
and the other side contains y and x
- We need to separate y in one side, and other term in the other side
* <em>Lets do that</em>
∵ 16x + 9 = 9y - 2x
- Add 2x to both sides to cancel -2x from the right side
∴ 16x + 2x + 9 = 9y - 2x + 2x
- Add like terms in each side
∴ 18x + 9 = 9y
- Divide each term by the coefficient of y ⇒ (÷9)
∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y
∴ 2x + 1 = y
- Switch the two sides
∴ y = 2x + 1
* The solution for y is y = 2x + 1
Answer:
Given:
Radius of large sphere: R1
Volume of sphere: V1
Radius of small sphere: R2
Volume of sphere: V2
R1=2R2
We know that:
Volume of a sphere: 4/3πR^3
Volume of large sphere: 4/3πR1^3
Now we know that R1=2R2(given)
Thus volume of large sphere(V1) 32/3πR2^3.
Volume of small sphere(V2): 4/3πR2^3.
Ratio of volume of large sphere to small sphere is 8:1.
Step-by-step explanation:
I got 49 hope that will help.
Answer:
D had 310 points.
The final ranking is: B,A,D,C
Step-by-step explanation:
The problems states that:
There are 115 votes.
Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.
Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:
We already know that:
A had 320 points, B had 330 points, and C had 190 points.
So:
B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C
