Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
PEMDAS says parentheses first
Get a common denominator
(-1/4 - 2/4) ÷ (-4/7)
(-3/4) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
Change to a mixed number, 16 goes into 21 1 time with 5 left over
1 5/16
Answer:
When 3x/4 - 13 = -9, x² = 256/9.
Step-by-step explanation:
3x/4 - 13 = -9
Multiply the expression by 4.
3x - 52 = -36
Add 52 to both sides.
3x = 16
Divide both sides by 3.
x = 16/3
Knowing x, let's square it.
(16/3)²
Apply the power to fraction rule.
16²/3²
Evaluate the powers.
256/9.
Set it up as a ratio: 1/m = 2/m+7 and cross-multiply to get m+7 = 2m. Now solve
Answer:
a = 12 years
Step-by-step explanation:
Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.
The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.
Mathematically this means a + a + 6 = 30
2a + 6 = 30
This is the equation needed to get a. To get a , we proceed to solve the equation to completion.
2a = 30 - 6
2a = 24
a = 24/2
a = 12