Answer:
He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.
Step-by-step explanation:
In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:
Area of the first pan = 2*pi*(6/2) = 18.84 square inches
Area of the second pan = 2*pi*(24/2) = 75.36 square foots
We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:
Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches
We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:
0.5/x = 18.84/10851.84
18.84x = 0.5*10851.85
x = 10851.85*0.5/18.84 =288 cups
Answer:
5m/s;
6 seconds
Step-by-step explanation:
Given the following :
Initial position = 30 m below
He climbed at a constant rate, and was 7.5 m below after 4.5 s.
Distance climbed or covered in 4.5 seconds :
(Initial position - current position)
(30 - 7. 5)m = 22.5 meters
Using the relation:
Speed = distance covered / time taken
Therefore,
Shota's speed = 22.5m / 4.5s = 5m/s
Time taken to reach edge of volcano :
Distance left to cover = 7.5m
Speed = 5m/s
Time required to cover remaining distance :
= distance / speed
= (7.5m ÷ 5m/s) = 1.5s
Total time to reach edge :
(4.5 + 1.5)s = 6 seconds
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
Answer:
B
Step-by-step explanation:
