Answer:
10 batches
Step-by-step explanation:
3/4 cups = 1 muffins
15/2 cups = x muffins
For x muffins,
3/4 × X = 15/2 × 1
3x × 2 = 15×4
6x = 60
Divide both sides by 6
6x/6 = 60/6
X = 10
Hence 10 batches of muffins will be made from 15/2 cups of nuts.
Answer:
24 inches
Step-by-step explanation:
When dealing with 3-Dimensional objects such as a box, the depth of that object refers to the distance between the highest and lowest points of that object. Therefore since it the question it states that the length, width and depth is 24 inches. Then the height of the box (as well as maximum height) would be a total of 24 inches. This would be in the case that the entire box was cubed, if the box is triangular with a square base then this height would be shorter as all the points would meet in a shorter position.
Answer:
Myron received 40% votes.
Step-by-step explanation:
Myron receives 10 votes from his class of 25 students and we have to calculate the percentage of the vote received.
Now we will use unitary method to calculate the percentage.
∵ Out of 25 students Myron received votes of = 10 students
∴ Out of 1 student Myron received votes = 10/25 students
∴ Out of 100 students Myron received votes = 10×100/25 = 40%
Myron received 40% votes.
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = 
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = 
= 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
Answer:
15 blocks
Step-by-step explanation:
We can use the Pythagorean theorem to solve the right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + 9^2 = h^2
144+81 = h^2
225= h^2
Taking the square root of each side
sqrt(225) = sqrt(h^2)
15 = h
