First, let's convert the mixed number 1 1/2 to the improper fraction 3/2. We're given that it takes 3/2 days to install 3/5 of a fence. We're looking for how long it takes to install one whole fence - or 5/5 of a fence. To determine that, let's first find out how long it takes to install <em>1/5 of a fence</em>, and then multiply that quantity by 5 to obtain our answer.
If it takes 3/2 days (3 half-days) to install 3/5 of a fence (3 fifths of a fence), then it makes sense that it would take <em>1/2 </em><em>day</em> (<em>1 </em>half-day) to install <em>1/5</em> of a fence (<em>1 </em>fifth of a fence).
If it takes 1/2 day to install 1/5 of a fence, then it should take 5 times that amount of time to install all 5/5 of it, or 5 * (1/2) = 5/2 days, or 2 1/2 days as a mixed number.
Answer:
(8.5)x = 42- Divide each side by 8.5
get x by itself
Reorder the terms: 2n + -5(5 + n) = 8n + 3(1 + -5n) 2n + (5 * -5 + n * -5) = 8n + 3(1 + -5n) 2n + (-25 + -5n) = 8n + 3(1 + -5n) Reorder the terms: -25 + 2n + -5n = 8n + 3(1 + -5n) Combine like terms: 2n + -5n = -3n -25 + -3n = 8n + 3(1 + -5n) -25 + -3n = 8n + (1 * 3 + -5n * 3) -25 + -3n = 8n + (3 + -15n) Reorder the terms: -25 + -3n = 3 + 8n + -15n Combine like terms: 8n + -15n = -7n -25 + -3n = 3 + -7n Solving -25 + -3n = 3 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -25 + -3n + 7n = 3 + -7n + 7n Combine like terms: -3n + 7n = 4n -25 + 4n = 3 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + 4n = 3 + 0 -25 + 4n = 3 Add '25' to each side of the equation. -25 + 25 + 4n = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 4n = 3 + 25 4n = 3 + 25 Combine like terms: 3 + 25 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
Answer:add it up
Step-by-step explanation:then divide them all
Answer:
Average rate of change = -6
Step-by-step explanation:
The average rate of change over the interval (a,b) is given by;
[ f(b) - f(a)] / (b-a)........................where interval is (a,b)
(a,b) interval =(-3,1)
Where;
f(x)= -12 (x+2)² +5
