Answer:
2
Step-by-step explanation:
w + 1/2 ➡ (2w + 1)/2
w/4 + 2➡ (w + 8)/4
(2w + 1)/2 = (w + 8)/4
8w + 4 = 2w + 16 ➡ 6w = 12
w = 2
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

ways of picking the vowels, and

ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

Keep in mind that this means words like TRIES and TIRES are treated as different.
Answer:788
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
We know that the area of a circle is equal to 
.
A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.
Therefore, a semi-circle's area is equivalent to
.
Set this equation equal to 18
.
Solve for r.
We then find that r = 6.
Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2
r. Since we only need the perimeter of half of a circle, our circumference equation will equal
r.
Plug 6 in for r.
The perimeter of the garden is equal to 6
.