She went over by 1/6 of a cup because 64 is half of 128 and 2/3 is greater then 1/2
864/12 = the rate per hour, which would be 72 mph. To find how many miles she would drive at the same rate, multiply the 72 (miles) with 9 (hours) which is equal to 648 miles
Answer:
800 mL
Step-by-step explanation:
Let b represent the amount of solution B added to 2400 mL of solution A. The total amount of alcohol (mL) in the mixture is ...
10%×2400 + 50%×b = 20%×(2400 +b)
multiplying by 100 to get rid of the % signs and simplifying, we have ...
24000 +50b = 48000 +20b
30b = 24000 . . . . . . . . . subtract 24000+20b
b = 800 . . . . . . . . . . . . . . divide by 30
Debra added 800 mL of 50% alcohol to her 2400 mL of 10% alcohol to make a 20% solution.
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.
We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75
Then we will use one of these points to get the value of c as follows:
y = mx + c
1 = -0.75 (1) + c ..............> c = 1.75
The equation of this straight line is:
y = -0.75 x + 1.75
Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
y = -0.75 (0) + 1.75 = 1.75
point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
point is (2.334,0)
3- For x = 2:
y = -0.75(2) + 1.75 = 0.25
point is (2,0.25)
Answer:
-43
Step-by-step explanation:
first we need to do 9x witch would be 9x3 so 9x3 is 27 now its down to -16 - 27 and that is -43
