Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
Answer:
Step-by-step explanation:
If 2in represented 17ft
Then 51ft will give (51×2)/17 in
= 6in
Answer:
begins the trip with 14 gallons of gas in her car.
The car uses up one gallon of gas every 30 miles.
Let g represent the number of gallons of gas she has left in her tank, and let d
represent the total distance
Step-by-step explanation:d = 30(14 - g)
:
For example, if she uses two gallons, there will be 12 gal left in the tank; g=12
d = 30(14 - 12)
d = 30(2)
d = 60 mi Here you go
Answer:
The number is 5
Step-by-step explanation:
Let x be the number
3x+5+x = 25
Combine like terms
4x+5 = 25
Subtract 5 from each side
4x+5-5 = 25-5
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
Answer:
Probably 128 km/h, but maybe 98.5 km/h. See below.
Step-by-step explanation:
What does "at the same time" mean?
If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 1.25 hour = 2.5 hour
average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h
If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 2 hour = 3.25 hour
average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h
