Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:
+
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We substitute the value of B into one of the two equations and solve for A.
<h3>
Answer: Choice C) $1,444.50</h3>
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There are two methods to get the answer.
The slightly longer method is to take 7% of the original price to get
7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50
The sales tax is $94.50
Add this onto the original price to get 1,350+94.50 = 1,444.50
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A shortcut is to multiply the original price by 1.07
The multiplier 1.07 represents a 7% increase since
- 1 = 100%
- 0.07 = 7%
- 1.07 = 1 + 0.7 = 100% + 7%
So we will have 1.07*1350 = 1,444.50
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are 
. Because all part-time college students are also equal to 8.6 million, we have 
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as 
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.
Answer:
12.566368 units
Step-by-step explanation:
2(pi)r = C
2(pi)(2) = C
4(pi) = C
4(3.141592) = C
12.566368 = C
