3. (02.01 LC) simplify [-3 over 5] ÷ [7 over 6]A.-7 over 10B.-18 over 35C.18 over 35D7 over 10
1 answer:
You might be interested in
Answer:
10
Step-by-step explanation:
We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation
x+5 = y
Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation
0.25x+0.1(5) = 0.2y
This gives us the system
To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:
We will now subtract the second equation from the first:
Divide both sides by 0.05:
0.75/0.05 = 0.05y/0.05
15 = y
There were 15 cups of the resulting 20% solution. Substituting this into the first equation, we have
x+5=15
Subtract 5 from each side:
x+5-5=15-5
x = 10
Given data:
The given equationn of the circle is (x + 1)^2 + (y - 5)^2 = 16.
The standard equation of the circle is,
The given equation can eb written as,
Compare the above equation with standard equation.
Thus, the coordinate of centre is (-1, 5) and radius is 4.