We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are
... scooter: 20 mi/h
... bicycle: 8 mi/h
_____
You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...
... time = distance/speed
... time = 20/(2b+4) = 8/b
... 20b = 8(2b+4) = 16b +32
... 4b = 32
... b = 8
The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:

= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634
Answer : The correct option is, (B) 56.8
Step-by-step explanation :
Right Triangle Altitude Theorem:
The measure of altitude drawn from the vertex of the right angle of a right angled triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
We are drawing a line from vertex to hypotenuse side.
As per theorem:




Therefore, the length of the altitude to the hypotenuse is 56.8
Answer:
The Type of Drink (Gatorade or Water)
Step-by-step explanation:
The Independent variables which causes the measured difference or change in the output of the dependent variable. In an experiment, the treatment administered to subjects which will most likely result into differing output are called the independent variables. In the scenario described above, the independent variable is the type of drink taken by the athlete, this drink will cause a change on the output, (how far an athlete can run) which is the dependent variable in the experiment.
Answer:
I don't know but if it feels like you shouldn't be doing it then don't
Step-by-step explanation: