9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
__
We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
Answer:
Step-by-step explanation:
We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.
We find the difference between these two:
(16/24) - (3/24) = (16-3)/24 = 13/24
So we get 13/24 more of the bag of candy than our friend did. (That's more than half!)
Answer:
the function is EVEN because f(x)= f(-x)
Step-by-step explanation:
Key to find if a function f(x) is even or odd is to replace the x with -x
if the results comes out to be f(x) then it is even function
if the results comes out to be -f(x) then it is odd function
where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.
In given case f(x)=7
if we replace x with -x in above equation then results is 7
f(-x)= 7
hence f(x)= f(-x) = 7
!
Answer:
25/36
Step-by-step explanation:
(2^-1 + 3^-1)^2
➡
➡
(1/2 + 1/3)^2
➡
(5/6)^2 = 25/36
Answer:
V = 72.3 m³
Step-by-step explanation:
The formula for the volume of a right circular cone is
V = (1/3)(base area)(height). Here,
V = (1/3)(π[4.4 m]²)(11.2 m), or
1 * π * 19.36 * 11.2 m³
V = -------------------------------
3
Evaluating this on a calculator, we get:
V = 72.3 m³
