B(x) = 100 - 3.5x
84 = 100 - 3.5x
3.5x = 100 - 84 = 16
x = 16/3.5 = 4.6 kilometers
96 = 100 - 3.5x
3.5x = 100 - 96 = 4
x = 4/3.5 = 1.1 kilometers
Therefore, the boiling point of water is between 84°C and 96°C at elevations of between 4.6 kilometers and 1.1 kilometers.
Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k =
= 4
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:

To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.

We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
Answer:
2520
Step-by-step explanation:
LCM(4, 7, 8, 9, 10, 12) = 2520
2:5
4:10
8:20
16:40
Hope that helps:)