Answer:
Step-by-step explanation:
<h3>AP given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Common difference
<u>Difference of first two</u>
- d = (a -b) - (a + b) = -2b
<u>Difference of second two</u>
<u>Difference of last two</u>
<u>Now comparing d:</u>
- -2b = ab - (a - b)
- ab - a = - 3b
- a(1 - b) = 3b
- a = 3b/(1 - b)
and
- a/b - ab = -2b
- a(1/b - b) = -2b
- a = 2b²/(b² - 1)
<u>Eliminating a:</u>
- 2b²/(b² - 1) = 3b/(1 - b)
- 2b/(b+1) = -3
- 2b = -3b - 3
- 5b = - 3
- b = -3/5
<u>Finding a:</u>
- a = 3b/(1 - b) =
- 3*(-3/5) *1/(1 - (-3/5)) =
- -9/5*5/8 =
- -9/8
<u>So the first term is:</u>
- a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40
<u>Common difference:</u>
<u>The 6th term:</u>
- a₆ = a₁ + 5d =
- -69/40 + 5*6/5 =
- -69/40 + 240/40 =
- 171/40 = 4 11/40
Answer: The GREATEST number of bookmarks that Logan can make = 31.
Step-by-step explanation:
GIven: Total petals = 95
Number of petals required for each bookmark = 3
Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)
= 95÷3
![=31\dfrac{2}{3}\ \ \ \approx31\text{ [Round to the nearest whole number.]}](https://tex.z-dn.net/?f=%3D31%5Cdfrac%7B2%7D%7B3%7D%5C%20%5C%20%5C%20%5Capprox31%5Ctext%7B%20%20%20%20%5BRound%20to%20the%20nearest%20whole%20number.%5D%7D)
i.e. The GREATEST number of bookmarks that Logan can make = 31.
Answer:
Step-by-step explanation:
The scale is
Find the distance of equivalent to 3 1/2 in
- 3 1/2 * 60 miles =
- 3*60 + 1/2*60 miles =
- 180 + 30 miles =
- 210 miles
It decreased by twenty five precent 25%
