Answer:
Step-by-step explanation:
1. 6(a +2b +3c)
2. (6 x 1a) + (6 x 2b) + (6 x 3c)
*Note that I put a 1 in front of the a. I did this because a means there is 1a so by putting the 1 there, it makes it easier to see that 6 x 1= 6, therefore we now have 6a.
3. Answer:
(6a) + (12b) + (18c)
* If you ever have an equation like this that has two of the same letters such as if 12b was 12a, then you could combine those since they are like terms. But since we have three different letters, this is the most simplified answer. Hope this helps!!(: If you have any questions just let me know!
1/4(q-12) + 1/3(q+9), Then you must use the distributive property to get 1/q-3+1/3q+3. Then you simplify by combining like terms to get, 7/12q. You do not have any constants because they cross each other out.
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
Answer:
There are 12 3/4-cup servings in 9 cups.
Step-by-step explanation:
How many 3/4 <u>cups</u> are there in 9 cups?
Divide 9 cups by (3/4 cup):
9 cups 9
----------------- = ------- = 9(4/3) = 12 3/4-cup servings.
(3/4 cup) (3/4)
