(It might also have helped immensely if you had been listening
when this was being explained in class.)
The first pipe fills 1/20 of the tank each minute.
The second pipe fills 1/30 of the tank each minute.
Operating together, the two pipes fill ( 1/20 + 1/30 ) of the tank each minute.
In order to add these fractions (or any fractions), you need a common denominator.
For these particular ones, ' 60 ' is a good choice.
( 1/20 + 1/30 ) = ( 3/60 + 2/60) = 5/60 = 1/12
The rate of work is 1/12 tankful per minute .
The most sensible choice for the time is 12 minutes.
R x T = W
( 1/12 tankful per minute ) x ( 12 minutes ) = 1 full tank
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
Step-by-step explanation:
You can form an equation and solve it to find your answer:
(7 - s)/3 = 2
× 3
7 - s = 6
+ s
7 = 6 + s
- 6
s = 1
So your answer is 1, I hope this helps!
Answer:
Part a) The table in the attached figure (see the explanation)
Part b) see the explanation
Step-by-step explanation:
Let
y ----> the total cost of Lift Tickets
x ----> the number of days
we know that
The linear equation in slope intercept form is given by
where
m is the slope or unit rate of the linear equation
b is the initial value or y-intercept pf the linear equation
In this problem we have
The slope is equal to
The y-intercept is equal to
substitute
<u><em>Complete the table</em></u>
Find the value of y for each value of x
For x=0 day
For x=1 day
For x=2 days
For x=3 days
For x=4 days
For x=5 days
For x=6 days
Part b) Explain how you know the data in the table above is linear
The data in the table is linear, because satisfy the equation of the linear equation
where
x is the variable independent or input value (the number of days)
y is the variable dependent or output value (the total cost of Lift Tickets)
