Answer:
5) 19/4
7) 49/5
Step-by-step explanation:
Answer:
0.500 hour
Step-by-step explanation:
Givens
<em><u>Distance</u></em>
- Total Distance on the highway = 3hr * 60 miles / hr = 180 miles
- Distance in the city = 20 miles
- Total Distance = 180 + 20 = 200 miles
<em><u>Time</u></em>
- Time on the highway = 3 hours
- Time in the city = x
Formula
d /t = r
Solution
- Average rate = 57.14
- Total Distance / Total Time = average rate
- 200 / (3 + x) = 57.14 Multiply both sides by 3 + x
- 200 = 57.14 * (3 + x) Remove the brackets
- 200 = 57.14*3 + 57.14x Multiply the factors on the right
- 200 = 171.42 + 57.14x Subtract 171.42 from both sides.
- 200 - 171.42 = 171.42 - 171.42 + 57.14x So the subtraction
- 28.58 = 57.14x Divide by 57.14
- 28.57/57.14 = x
- x = 0.500 hour Answer
Answer:
1.92%
Step-by-step explanation:
The probability for first case, picking a queen out of deck, will be:

as there will be 4 queens in a deck, one of each suit.
For the second pick, the probability of picking a diamond card, will be:

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).
Thus the net probability for both cases will be:

Thus total probability for the combined two cases will be 1.92%
Answer:
It takes 26 2/3 gallons to make a 400 mile trip.
Step-by-step explanation:
This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.
"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.
If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.
Now we can set up the proportion: 
Cross multiply and solve accordingly.

400
/g
So the answer is:
It takes 26 2/3 gallons to make a 400 mile trip.
Answer: Eighty Nine and Twenty Three Thousandths
Step-by-step explanation: