Let total amount spent =x
Dita spent 35 % of total amount.
35% of x = 0.35x
So amount spent by Dita = 0.35x
% of money spent by Benton = 20 % of x = 0.2x
We are given that Benton spent $12 more than Claire,
so making equation we have ,
Money spent by Dita = Money spent by Claire +12
x=80
So total amount spent was $80.
Money spent by Benton = 0.2x = 0.2 * 80= $16
So amount spent by Benton is $16.
B and E are the correct choices
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
By using the general equation for a circle, we will see that the correct option is:
(x - 2)^2 + (y - 3)^2 = 36
<h3>
How to find the equation for a circle?</h3>
The general equation for a circle centered at the point (a, b) of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
In this case, the center is (2, 3) and the radius is R = 6 units, replacing that in the above equation we get:
(x - 2)^2 + (y - 3)^2 = 6^2
(x - 2)^2 + (y - 3)^2 = 36
So the correct option is B.
If you want to learn more about circles, you can read:
brainly.com/question/1559324
Answer:
A. 3.
Step-by-step explanation:
As there are only three numbers above the number 3 on a die (4, 5, 6), there could only be three positive outcomes for the situation.
