The LCD here is 12(5) = 60.
We must rewrite <span>7/12 - 2/5 with 60 as common denominator.
Doing this, we get 35/60 - 24/60 = 11/60 (answer)</span>
Answer:6 is in the tenth's place
Step-by-step explanation:
Answer:
Step-by-step explanation:
This equation is solved if one of the following 2 conditions is met
1.
- (x² + 1) / 10 is between 1 and 2
and
- 10 / (x² + 1) is between 0 and 1
<u>Solve this:</u>
- 1 < (x² + 1) / 10 < 2
- 10 < x² + 1 < 20
- 9 < x² < 19
- 3 < |x| < √19
- x ∈ (- √19, - 3) ∪ (3, √19)
- 0 < 10 / (x² + 1) < 1
- x² + 1 > 10
- x² > 9
- |x| > 3
Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)
2.
- (x² + 1) / 10 is between 0 and 1
and
- 10 / (x² + 1) is between 1 and 2
<u>Solve this:</u>
- 0 < (x² + 1) / 10 < 1
- 0 < x² + 1 < 10
- - 1 < x² < 9
- 0 ≤ |x| < 3
- x ∈ ( - 3, 3)
- 1 < 10 / (x² + 1) < 2
- x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
- x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5
Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)
Answer: y =1/2x + 5/2
Step-by-step explanation: you have to use the slope formula y = mx + b to find the equation between those two points
Answer:
Step-by-step explanation:
so 1/3 of the area of the park is for a playground.....and 1/4 of the area of the playground is for swings
what fraction of the park is the swing area ?
so 1/4 of 1/3 is for swings
1/4(1/3) = 1/12 <=== so 1/12 of the playground is for swings