I showed the work for the first question in the image attached. For the second question, it's C
Items bought:
x packs of pencils
twice as many packs of erasers, number of packs of erasers = 2x
three times as many rolls of tape, number of rolls of tape = 3x
Now, we have two possible scenarios:
1- The three items cost the same:
cost of one pack of pencils = cost of one pack of erasers = cost of one roll of tape = m
total amount spent = xm + 2xm + 3xm = 6xm
2- The three items do not cost the same:
cost of one pack of pencils = m
cost of one pack of erasers = n
cost of one roll tape = p
total amount spent = xm + 2xn + 3xp = x(m + 2n + 3p)
3/4 as a fraction to 9/12
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9
to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9
= ![\frac{5*9+3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2A9%2B3%7D%7B5%7D)
= ![\frac{45+3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B45%2B3%7D%7B5%7D)
= ![\frac{48}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B5%7D)
2) Now we need to convert
into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = ![\frac{Distance}{Time taken}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BTime%20taken%7D)
Plugging the values of Distance and Time taken into the formula, we get
Speed = ![\frac{100}{9.6}](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B9.6%7D)
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
Volume of cylinder = (pi)r^2 • h
So with the numbers, it’s:
V = (3.14)12.5^2 • 30
V = (3.14)156.25 • 30
V = 490.625 • 30
V is about 14,718.75
Since I rounded, the answer for your problem is “about 17,671 cubic feet.”
Hope this helped!