Answer:
First brand of antifreeze: 21 gallons
Second brand of antifreeze: 9 gallons
Step-by-step explanation:
Let's call A the amount of first brand of antifreeze. 20% pure antifreeze
Let's call B the amount of second brand of antifreeze. 70% pure antifreeze
The resulting mixture should have 35% pure antifreeze, and 30 gallons.
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 -0.7 and add it to the second equation:
+
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We substitute the value of A into one of the two equations and solve for B.
Answer:
108
Step-by-step explanation:
let x be hourly rate
1508. --. 14hours
x --. 1 hour
cross multiply
14x= 1508
x=1508÷14
x= 108(approximately)
Answer:
Step-by-step explanation:
We are given the following in the question:
It is a solution to the differential equation
Putting the values in the differential equation we get,
Answer:
The answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.
Step-by-step explanation:
To solve for the volume of the sphere, start by using the formula for the volume of a sphere, which is V= .
Next, plug in the information given from the question into the formula. The formula will then look like V= ()().
Then, simplify and solve for the answer. The final answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.
Answer:
Step-by-step explanation:
The given equation is
Subtract 2 from both sides and factor by grouping to get:
By the zero product principle:
When
This implies
When
We have
hence x is not defined for all real numbers