I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Answer:
10π
Step-by-step explanation:
The circumference of a circle is the distance of the outside of the circle. The formula for circumference is C=2πr.
In the question, you are given the diameter. Diameter is the radius times 2. So, to find the radius you can divide the diameter by 2. Since, 10cm/2 is 5 cm, 5cm is the radius.
Then, plug this information into the formula to solve for C.
This means that, in terms of pi, the circumference is 10π cm.
Answer:
$4819.5
Step-by-step explanation:
Pepe bought a box of chocolates for $ 5,950, including 19% VAT. What is the price of the box of chocolates without VAT?
The price of chocolates = $5,950
VAT = 19%
We need to find the price of the box of chocolates without VAT.
VAT is applied on the Cost price of the object.
Price = $5,950 - 19% of $5,950
So, the price of the box without VAT is equal to $4819.5.
I don't see an inequality, but I can tell you that the sign of the inequality is flipped whenever you multiply or divide by a negative number.
Answer
61.80°
Step-by-step explanation:
use SOHCAHTOA to solve
by using SOH
sin? = 51/55
? = 1÷sin(51/55)
? = 61.80°
