Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
Answer:
9ft
Step-by-step explanation:
The top of a ladder is placed against the side of a house. The ladder is 15ft long and the wall is 12ft high. How far from the wall will the base of the ladder be positioned if the top of the ladder meets the top of the wall.
We solve this question using Pythagoras Theorem
c² = a² + b²
Height of the wall = Opposite side = b = 12ft
Length of the ladder = Hypotenuse = c = 15ft
Distance between the wall and the base of the Ladder = Adjacent = a
Hence:
15² = a² + 12²
a² = 15² - 12²
a = √15² - 12²
a = √81
a = 9 ft
Therefore, the wall will be 9ft from the base of the ladder , if the top of the ladder meets the top of the wall