The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.
That is,
T = 6 quarts + 10 quarts = 16 quarts
The total volume of the resulting mixture is 16.
Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.
6(0.52) + 10(0.32) = 16(x)
The value of x from the equation is 0.395.
Therefore, the answer to this item is 39.5%.
Answer:
When you buy expensive items with a loan, you often need to make a down payment to cover a portion of the purchase price. That initial payment is often critical for getting approved, and it can affect your borrowing costs throughout the life of your loan. As a result, it’s wise to understand how down payments work so you can choose the right down payment amount.
Answer:
x=30, and angle A equals 132°.
Step-by-step explanation:
Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:
5x-18°=3x+42°
You would need to solve for <em>x</em>, which should equal to 30.
Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:
5(30)-18°
150-18°
Angle A = 132°.
Answer:
The value of b is 3
Step-by-step explanation:
mx is the slope and b is the y intercept. I hope this helps!
Answer:
4/7
Step-by-step explanation:
If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.
Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.
Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.
Answer: 4/7