20 plus 24
Divided by 15
Which gets you to
44 over 15 or 2 wholes and 14 over 15
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem
The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.
The answer is x=
-3
Hope I helped!
Divide the total amount by the portion size.
= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction
= (2*3+1)/2 ÷ 1/4
= 7/2 ÷ 1/4
to divide a fraction, we multiply by the reciprocal/inverse of 1/4
= 7/2 * 4/1
multiply numerators, then multiply denominators
= (7*4)/(2*1)
= 28/2
= 14
ANSWER: 14
Hope this helps! :)
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
