You sure seem to be asking a lot of questions lately. I'd like to see that you've been trying with these problems at least because if you can't get that first one it's almost like you missed the whole lesson.
1. 20 = 4b + 7 + 5
Add the 7 and 5.
20 = 4b + 12
Subtract 12 from each side.
8 = 4b
Divide each side by 4.
2 = b
2. 7 = 6k - 7k
6k - 7k = -1k. (the k acts as a sort of unit)
7 = -1k
Divide each side by -1.
-7 = k
3. 3.23 - 2m = 3 - 2(5m - 2)
Distribute the ×-2 to each term inside the parentheses.
3.23 - 2m = 3 - 10m + 4
Add the 3 and 4.
3.23 - 2m = 7 - 10m
Add 10m to each side.
3.23 + 8m = 7
Subtract 3.23 from each side.
8m = 3.77
Divide by 8.
m = 0.47125
4. -88/45=1/3r+2/5r
To get rid of the fractions, let's multiply everything by 45.
-88 = 15 + 18r
Subtract 15 from each side.
-103 = 18r
Divide by 18.
-103/18 = r
As a mixed number, r = -5 and 13/18
As a decimal, r = -5.7222...
|13-6| < x < |13+6|
So the range will be:
7 < x < 19
Answer:
1
Step-by-step explanation:
Answer:
The difference is subtracting 6.5
19.5, 25, 31.5
Step-by-step explanation:
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
<em>C = 398 children. </em>
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
<em>A = 340 adult. </em>