Answer:
10⁵ billion
Step-by-step explanation:
given that distance from sun to earth
= 1.5 x 10⁸ km (we need to convert this to millimeters)
= 1.5 x 10⁸ km x 1 million mm per km
= 1.5 x 10⁸ km x 1,000,000 mm/km
= 1.5 x 10⁸ km x 10⁶ mm/km
= 1.5 x 10⁸ x 10⁶
= 1.5 x 10⁽⁸ ⁺ ⁶⁾
= 1.5 x 10¹⁴ mm
also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)
= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter
= 10¹⁴
= 100,000,000,000,000 (remember that a billion has 9 zeros)
= 100,000 billion
= 10⁵ billion
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.
Answer:
x= 5/4 this is correct answer hope it helps
Answer:
x=-2 and x=0
Step-by-step explanation:
5(x-2)^2 = 20; divide by 5 both sides
(x-2)^2 = 4; take the square root of both sides
(x-2) = ±2, now set it equal to positive 2 and negative 2
x-2 = 2
x=4
AND
x-2 = -2
x=0
