Answer:
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.
Step-by-step explanation:
The cattle train
speed - 36.5 km/h
time - x h
the passenger train
speed - 29.2 km/h
time - (2.4+x) h
The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.
The passenger train travelled for
12 hours before the cattle train caught up.
Answer:
The price for one cone before tax is $2.26.
Step-by-step explanation:
The tax for each cone is $.17
Ronnie buys six cones. The total tax for the cones is 6 X $.17 = $1.02
Next, we subtract the total taxes from the total price $14.58 - $1.02 = $13.56
So Ronnie owed $13.56 for the six cones BEFORE taxes. We takes this amount and divide it by six to get the cost for one cone.
$13.56 / 6 = $2.26 per cone.
Check our work
Purchase one cone for $2.26 plus $.17 cents tax = $2.43 total cost per cone.
6 cones at $2.43 each would be 6 X $2.43 = $14.58.
This matches the total bill from the story problem.
We know there are 8 equal slices. There are 4 parts to the pie.
8 ÷ 4 = 2
We now know each part of the pie has 2 slices
Ruben ate 3/4 of the slices so,
2 x 3 = 6
6 is your numerator (top) (standing for how much Ruben ate)
8 is your denominator (bottom) (standing for total slices)
6 slices was eaten by Ruben
If you want to check your work, divide the numerator and denominator by 2 - since there are 2 equal slices per part
6 ÷ 2 = 3
8 ÷ 2 = 4
3/4 of the pie has been eaten.
