For 1 cylinder: 226.08 cubic inches
For all cylinders (overall): 678.24 cubic inches
Since I'm tired....
Formula: Pi × (radius × radius) × height
Let n represent the number.
<span>.. (3/5)n - 1 = 23 ... three-fifths of a number decreased by one is twenty-three. </span>
<span>Please note that the same English description might be interpreted as </span>
<span>.. (3/5)(n-1) = 23. </span>
<span>We'll use the first interpretation, as it results in the number being an integer. </span>
<span>.. (3/5)n = 24 ... add 1 </span>
<span>.. n = (5/3)*24 ... multiply by 5/3 </span>
<span>.. n = 40 ... carry out the multiplication </span>
<span>The number is 40.</span>
For the first three questions
5/12 = 35/N
Rearrange: N = 35 / (5/12) = ( 35 / 0.4167 ) = N = 83.99
7/18 = N / 9
Rearrange: N = (7/18)* 9 = 3.5
(2/5) * 240 = 96
He spent $96 on supplies
The ratio of people that can be served to milligrams of baking soda needed is:
Serving : Baking Soda
2 : 1600mg
Since you want 10 people, you can multiply this ratio by 5:5 to get
10 people served = 8000mg needed
8000mg = 8 grams
Answer: the distance traveled on the return trip is 70 miles.
Step-by-step explanation:
Let d represent the distance travelled along the side streets.
Let t represent the time spent travelling along the side street
Traveling the side streets, she avaraged 20 mph.
Distance = speed × time
Therefore, distance travelled along the side streets is
d = 40t
On the return trip, Rob's truck took the freeway, averaging 50 mph. The freeway distance is 2 miles less than the distance on the side streets and they saved 24 minutes(24/60 = 0.4 hours). It means that the distance travelled on the return trip is (d - 2) miles and the time spent is
(t - 0.4) hours. Therefore
d - 2 = 50(t - 0.4)
d - 2 = 50t - 20 - - - - - - - - - - -1
Substituting d = 40t into equation 1, it becomes
40t - 2 = 50t - 20
50t - 40t = - 2 + 20
10t = 18
t = 18/10 = 1.8
d = 40t = 40 × 1.8
d = 72
The distance on the return trip is
72 - 2 = 70 miles.