A. This is the original equation: 2x + 3 - 1 = x + 5
b. 2x + 2 = x + 5 ← combined like terms on left side
2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
2x = x + 3 ←simplified each side
2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
x = 3 ← simplified each side
answer x = 3
c. 2(3) + 3 - 1 = 3 + 5
6 + 3 - 1 = 8
9 - 1 = 8
8 = 8
The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly
We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
t = 7 + 30
t = 37 points
Answer:
22.8906 sq in
Step-by-step explanation:
SA of a sphere = 4 π 
r = 2.7 / 2 = 1.35
4 x 3.14 x
= 22.8906
Completing order of operations is the correct answer.
white : milk : dark
w : m : d
The ratio of white to not white is 3:4
w : (m+d) = 3:4
The ratio of not dark to dark is 17:4.
(w+m) : d = 17:4
---------
We treat the colons as fraction bars and cross multiply.
4w = 3(m+d) = 3m + 3d
4w + 4m = 17 d
Subtracting,
4m = 17d - (3m+3d) = 14d - 3m
7m = 14 d
m/d = 14/7
m:d = 2:1
Since w:(m+d)=3:4 let's make m+d a multiple of 4.
m:d = 8:4
w : (m+d) = 3:4 = 9:12
w:m:d = 9:8:4
Answer: 9:8:4
Check:
white to non white 9 to 8+4=12 = 3:4, good
non dark to dark (9+8):4=17:4, good