Answer:
Step-by-step explanation:
combine by putting together
Answer:
x < 9
Step-by-step explanation:
Given inequality:
6x + 9 < 63
Subtract 9 from both sides:
⇒ 6x + 9 - 9 < 63 - 9
⇒ 6x < 54
Divide both sides by 6:
⇒ 6x ÷ 6 < 54 ÷ 6
⇒ x < 9
Answer:
a) 25/324
b) 1/4
c) 1/3
Step-by-step explanation:
a) [⅓A + ⅓B]² = (⅓)²[A + B]²
= (1/9) [½ + ⅓]²
= (1/9)(⅚)²
= (1/9)(25/36)
= 25/324
b) ½ × ½ = ¼
c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓
Answer:
8w-2=6
Step-by-step explanation:
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
