Answer:
Step-by-step explanation:
Let's say that the time it took him to get to work in the morning is t hours. Then the time it took him to get home in the afternoon must be 1 - t hours. We know that for any trip, distance equals rate times time or d = rt . That means that the distance he drove to work is given by , but we also know that the distance he drove to get home must be the same distance, because he took the same route (and, presumably, no one picked up him house and moved it while he was at work) so for the trip home we can say d = 30 × (1 - t) and since the distances are equal, we can say:
45t = 30 × (1 - t)
45t = 30 - 30t
45t + 30t = 30
75t = 30
t = 30/75
t = 2 /5 hour to drive to work at 45mph
Since , d = rt
d = 45 ×(2/5) = 18miles
To answer this youd have to set up a proportion. 5/2 is the ratio of weight on earth and mars respectively. The other side has to have the same ratio where 125lbs is the weight on earth and x is the weight on mars. The equation would look like 5/2=125/x. Youd have to cross multiply, and would get (125)(2)=5x. Solve for x to find the weight on mars
Volume of a rectangle prism is found by <em>multiplying length, width, and height</em>.
So:
3. 9 1/3 * 4 * 6 1/2 = 28/3 * 4 * 13/2 = 1456/6 = 242 2/3 in³
4. 2 1/2 * 5 3/4 * 8 = 5/2 * 23/4 * 8 = 920/8 = 115 yd³
Answer:
Explanation:
<u>1. Volume of a cup</u>
The shape of the cup is a cylinder. The volume of a cylinder is:
The diameter fo the cup is half the diameter: 2in/2 = 1in.
Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:
<u>2. Volume of the sink:</u>
The volume of the sink is 1072in³ (note the units is in³ and not in).
<u>3. Divide the volume of the sink by the volume of the cup.</u>
This gives the number of cups that contain a volume equal to the volume of the sink:
