If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,
m₁ + m₂ + m₃ = 180
Given the measures of the first two angles, the measure of the third angle is calculated through the equation,
m₃ = 180 - (m₁ + m₂)
Substituting the known expressions,
m₃ = 180 - (-3x⁵ + 2x²)
Simplifying,
<em> m₃ = 180 + 3x⁵ - 2x²</em>
Ann = 3 CD's
Ann = 2x-3
5 = 2x-3
x= CD's bob has
5 = 2x-3 is the equation
to solve
add 3 to each side
8 = 2x
divide by 2
x =4
bob has 4 CD's, ann has 5
<span>75 pages.
OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
To make things easier, first convert the time to just minutes. So
5 * 60 + 50 = 300 + 50 = 350 minutes.
Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
X * 15/10 + (350 - X)*10/15 = 275
Solve for X.
X * 15/10 + (350 - X)*10/15 = 275
X * 15/10 + 350*10/15 - X*10/15 = 275
X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
X(45/30 - 20/30) = 825/3 - 700/3
X(25/30) = 125/3
X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
Answer:
Step-by-step explanation:
8x + 12 = 3x + 5x + 12
8x + 12 = 8x + 12
Bringing like terms on one side
8x - 8x = 12 - 12
x = 0