Answer:
Step-by-step explanation:
( 4 / 21 ) ( 7 / 16 ) ( 15 / 9 )
= ( 2 × 2 × 7 × 3 × 5 )/( 3 × 7 × 2 × 2 × 2 × 3 × 3 )
= ( 5 )/ ( 2 × 3 × 3 )
= 5 / 18
Answer:

Step-by-step explanation:
We have the inequality:

First, we can factor out a 5 from our absolute value. This yields:

Simplify:

Add 14 to both sides:

Divide both sides by 2:

Definition of Absolute Value:

Solve each case individually:
Case 1:

Subtract 2 from both sides:

Case 2:

Divide both sides by -1. Flip the sign:

Subtract 2 from both sides:

So, our answers are:

Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:

And we're done!
Answer:

Step-by-step explanation:
x^-12/ x^-7
= x^(-12-(-7))
= x^-5
= 1/x^5
Let the two numbers be x and y, then
x - y = 48 . . . (1)
x + y = 60 . . . (2)
(1) - (2) => -2y = -12 => y = -12/-2 = 6
From (1), x - 6 = 48 => x = 48 + 6 = 54
Therefore, the two numbers are 54 and 6.
Answer:
Each child should have 1.25 or 1
pizzas.
Step-by-step explanation:
5 ÷ 4 = 1.25