An 18% alcohol solution is mixed with a 45% alcohol solution to produce 12 ounces of a 36% alcohol solution. How many ounces of the 18% solution and the 45% solution must be used?
Answers
Answer:
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
Step-by-step explanation:
Let
x ---> ounces of the 18% solution
y ---> ounces of the 45% solution
we know that
The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces
so
----> equation A
The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)
so
-----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (4,8)
see the attached figure
therefore
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
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Step-by-step explanation:
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Answers
80/100 = 76/x from this point you cross multiply which gives you 80x = 76(100) you multiply 76 by 100 and get 7600 so then the equation look like this 80x = 7600 then divide by 80 on both sides and get the answer of x = 95 which is basically your answer I hope this helps :)
80 percent of the number 95 is 76.
We have,
Let the number = M
80% can be written as.
= 80/100
= 0.8
Now,
0.8 x M = 76
Solve for M.
0.8 x M = 76
M = 76/0.8
M = 760/8
M = 95
Thus,
80 percent of the number 95 is 76.
Learn more about percentages here:
#SPJ6
Answers
Answer:
Linear
Step-by-step explanation:
This can be written in slope intercept form (y=-5x+7) and there are no exponents.
Answers
The closest we can get to 33undefined without exceeding it is 0 which is 0 × 50. These values have been added to the division, highlighted in red.
In this case the target of 33 is less than 50 so a division is not possible. Put a 0 in the answer to show this and 0s below the 33.
Leaving out the 0 from the answer line when this occurs is one of the easiest mistakes to make with long division.
0 0 rem 3350 3 3 0 0
<< Newdivision Show nextstep >50 × table1 × 50 = 502 × 50 = 1003 × 50 = 1504 × 50 = 2005 × 50 = 2506 × 50 = 3007 × 50 = 3508 × 50 = 4009 × 50 = 450
A. Alta had $4.75. She paid $3.50 for a snack and drink. What is x, the amount of money Alta has left?
B. Julia found a scarf with a sale price of $4.75 The discount was $3.50. What is x, the original price of the scarf.
C. Rocio drew a line segment that was 3.5 inches long. Renee drew a line segment that was 4.75 inches long. What is x, the difference in the lengths of the two line segments?
D. Ami completed a math problem in 3.5 minutes. Giovanni completed the same problem in 4.75 minutes. The time limit was 5 minutes. What is x, the difference in Ami's time and the time limit?
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Answers
6x=150
X=25
So angles are 25, 100, 55 degrees