Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
<u>Given the following data;</u>
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
-2(x + 5) = 2 |use distributive property: a(b + c) = ab + ac
-2x - 10 = 2 |add 10 to both sides
-2x = 12 |divide both sides by (-2)
x = -6
Answer:
2/3
Step-by-step explanation:
0.6 repeating as a fraction is 2/3
Answer:
3/4 lb
Step-by-step explanation:
You can use multiplication:
3 × 1/4 lb = 3/1 × 1/4 lb = 3/4 lb
You can also use addition:
1/4 lb + 1/4 lb + 1/4 lb = 3/4 lb
Answer:
n= -6
Step-by-step explanation:
Simplifying
4 + -7n = -1(8n + 4) + 2
Reorder the terms:
4 + -7n = -1(4 + 8n) + 2
4 + -7n = (4 * -1 + 8n * -1) + 2
4 + -7n = (-4 + -8n) + 2
Reorder the terms:
4 + -7n = -4 + 2 + -8n
Combine like terms: -4 + 2 = -2
4 + -7n = -2 + -8n
Solving
4 + -7n = -2 + -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
4 + -7n + 8n = -2 + -8n + 8n
Combine like terms: -7n + 8n = 1n
4 + 1n = -2 + -8n + 8n
Combine like terms: -8n + 8n = 0
4 + 1n = -2 + 0
4 + 1n = -2
Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4
Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4
Combine like terms: -2 + -4 = -6
1n = -6
Divide each side by '1'.
n = -6
Simplifying
n = -6