Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer:
an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case
y=200(1.18)^x
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
The answer is 110
If the function for the table is y=90x and the function for the graph is y=80x, then at x=11, the table would be at (11, 990) and the graph at (11, 880) meaning that the y value of the table would be 110 more than the y value of the graph.
40 minutes is 2/3 of an hour.
30 miles per hour x 2/3 hour = 20 miles.
30 minutes = 1/2 hour.
60 miles per hour x 1/2 hour = 30 miles.
Total = 20 + 30 = 50 miles.
Answer: -5 x -5
The exponent two means the other number multiplied 2 times, so the equation is -5 x -5. The answer to the equation is -25.
Hope this helped you out!