Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
Write and solve an equation of ratios to answer this.
2.25 cup x
-------------- = -------------
0.375 cup 1 cup
2.25
cross-multiplying, 2.25 = 0.375x. Solving for x, x = ---------- = 6
0.375
Brianna would need to use 6 cups of flour if she wants the mixture to contain 1 cup of baking soda.
Answer:
X | Y
2 | 7
4 | 9 <-- linear.
6 | 11
8 | 13
A linear function is when there is an even consonant decline or up-rise.
X | Y
1 | 2
2 | 4 <-- also linear.
3 | 6
4 | 8
