Answer:
x = 2
Step-by-step explanation:
1. distribute 9 in 9(x+1)
9x + 9 = 25 + x
2. subtract x from the right side to isolate x onto one side
8x + 9 = 25
3. subtract 9 from the left side
8x = 16
4. divide both sides by 8 to get x alone
x = 2
Answer:
V = a²b³ + acb² units³
Step-by-step explanation:
The volume of a rectangular prism is given by :
V = l×b×h
Here, l = b² units
b = aunits
h = ab+c units
So, the volume of the prism is given by :
V = b² × a × (ab+c)
= ab²(ab+c)
= a²b³ + acb²
Hence, the required volume is a²b³ + acb² units³.
30 M&Ms
1) Gathering the data
12-ounce bag of trail mix = 18 M&Ms
20-ounce bag=?
2) Assuming that the M&Ms are placed in following a constant rate we can write the following proportion:
12 --------------- 18
20 --------------- y
<em>Cross multiplying it due to the first property of proportions</em>
<em />
12y =20 x 18
12y = 360
y=30
3) So, I'd expect to find 30 M&Ms at a 20-ounce bag of trail mix.
Answer:
B, D
Step-by-step explanation:
-3(0.15 - 0.2 +0.25p) = -3(-0.05 +0.25p) = 0.15-0.75p
A doesn't work because -3(0.15 - 0.2 +0.25p) = -0.45+0.6-0.75
C doesn't work because 3(0.15+0.2+0.25p) = 0.45+0.6+0.75 which doesn't equal -0.45+0.6-0.75.
E doesn't work because 0.15-0.2 = -0.05 not 0.05.
