So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side
20-8-36=8-8+36-36+12x
20-8-36=12x
Now simplify
20-8-36=12x
12-36=12x
-24=12x
Divide both sides by 12, and you get x=-2
Hope this helped!!! :D
Answer with explanation:
The equation of two curves are
y=8 sin x
y=8 cos x
The point of intersection of two curves are
→8 sin x=8 cos x
sinx = cos x

When you will look between points , 0 and
,the curve obtained is right angled triangle.
Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.
Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to
.
Required volume of solid obtained

=8-4√2 cubic units
Answer:
Hi! I believe this is your answer:
$750
Step by step explanation:
interest + interest = total interest
0.08*x + 0.09*(9000-x) = 750 dollars
0.08x + 810 - 0.09x = 750
-0.01x = 750 - 810 = -60 ====> x = %28-60%29%2F%28-0.01%29 = 6000.
Final answer:
$6000 was invested at 8%. The rest 9000-6000 = 3000 dollars were invested at 9%.
Check. 0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.
Answer:
a = 13,
b = 28,
c = 6,
d = 22,
e = 31
Step-by-step explanation:
E = 15 +16 = 31
6 males like cats ( the middle section) so C = 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50-22 = 28
so in order: a = 13, b = 28, c = 6, d = 22, e = 31