Answer:
D
Step-by-step explanation:
Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.
"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".
<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>
Answer choice D is right.
Answer:
Option C is the correct choice.
Step-by-step explanation:
We are given the coordinates of rectangle and we are asked to find the correct option that describes that diagonals JL and KM are congruent.
Since we that a rectangle have four right angles.
We will use Pythagorean theorem to prove that diagonals JL and KM are congruent.
In triangle KLM we can see that KL is b units long and LM is a units long. By Pythagorean theorem 
In triangle JML we can see that JM is b units long and LM is a units long. By Pythagorean theorem 
Therefore, we can see that 
and option C is the correct choice.
Answer:
- $5000 in the first city
- $4000 in the second city
Step-by-step explanation:
Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...
... 7.5%·x +5%·(x -1000) = 575
... 12.5%·x = 625 . . . . simplify, add 50
... x = 5000 . . . . . . . . divide by 12.5% (=0.125)
The first-city charge was $5000; the second-city charge was $4000.
First lets write down our starting conditions:
we have 22 gallons and it has 16% of ammonia
16% of 22 gallons is
A = 16/100*22 = 3,52 gallons
Now since only watter is evaporating that means that in second scenario after some watter evaporated there is still 3,52 gallons of ammonia. But now those 3,52 gallons of ammonia represent 24% of total mixture. So now we go other way.
24 % is 3,52 gallons
100% is x gallons
x = 100/24*3,52 = 14.667 gallons
That means that he has to evaporate
22 - 14.6667 = 7,333 gallons of water.
