Answer:
Step-by-step explanation:
finally
Answer:
Step-by-step explanation:
step 1
Convert mixed numbers to an improper fractions
step 2
we know that
A teacher reviews 9/2 papers per hour
using proportion
Find how many papers will the teacher review in 19/3 hours
Let
x-----> the number of papers
Convert to mixed numbers
Answer:
see explanation
Step-by-step explanation:
The volume (V) of a cylinder is
V = area of base × height
here area of base = 64π and height = 10, hence
V = 64π × 10 = 640π in³ ← exact value
Answer:
25 + 0.15m = 71.8
Step-by-step explanation:
Given:
Fixed charge = $25
Additional charge for each mile = $0.15
Let number of miles driven be m.
Total Billed amount = $71.80
Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.
Hence,
Total Billed amount = Fixed charge + Additional charge for each mile × number of miles driven
25 + 0.15m = 71.8
Hence the equation is 25 + 0.15m = 71.8.
Answer:
Present age
Son: 15
Father: 45
Step-by-step explanation:
Remark
Thank you for the translation. Without it, the problem would be impossible -- at least for me.
Givens
Let the present age of the father = x
Let the present age of the son = y
Solution
x + y = 60
How many years will pass? You could say it's z.
x + z = y When z years pass, the son will be his father's present age.
x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms
x + y + 2z = 120
<u>x + y = 60 </u> Subtract The very first equation
2z = 60 Divide by 2
z = 60/2 30 years have passed.
z = 30
x + z = y
x + 30 = y Substitute x + 30 for the present y value (the father).
x + x + 30 = 60
2x = 30
x = 15
x + y = 60
15 + y = 60
y = 60 - 15
y = 45
So the son's age right now is 15
The father's age right now is 45
