Answer:
Step-by-step explanation:4 quarters
Answer:
Gregory will catch up Efren after 26 minutes 40 seconds.
Explanation:
Distance traveled = Speed x Time
Speed of Efren = 4 mi/h
Speed of Gregory = 8.5 mi/h
Let the time of catch up be t hours.
Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.
Distance traveled by Efren = 4 x (t+0.5) miles
Time of journey of Gregory before catch up = t hours.
Distance traveled by Gregory = 8.5 x t miles
If they catch up the distance traveled by them is same, so equating both distances.
4 x (t+0.5) = 8.5 x t
4.5t = 2
t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.
So Gregory will catch up Efren after 26 minutes 40 seconds.
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.
0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
Answer:
Assume the pair of dice are fair; if not, all bets are off!
Color one die green (G) and the other one red (R). There are 36 possibilities in throwing one green and one red die, eg (G1, R1), (G1, R2), etc; (G2, R1), (G2, R2), etc; etc; (G6, R1), (G6, R2), etc.
In the set of possible numbers from throwing a die, there are only 3 possibilities that sum to to 4: (G1, R3), (G2, R2), (G3, R1).
So the answer is 3/36, or one-twelfth.
AB+BC you will get the length of AC
