Answer:
i’m pretty sure the answer is b
Let the length of the rectangle = 6x and the width = 5x
Area = 6x(5x) = 30x^2 = 4,320
x^2 = 4,320/30 = 144
x = 12 ft
Therefore, length = 6x = 6(12) = 84 ft
Answer:
19, 21, 23
Step-by-step explanation:
Let the first odd number be n.
Then the second, consecutive odd number will be (n+2).
And the third will be (n+4).
We know that they sum to 63. Hence, we can write the following equation:
Solve for n. Combine like terms:
Subtract 6 from both sides:
Divide both sides by 3:
Hence, the first odd number is 19.
Therefore, our sequence is: 19, 21, 23.
Note: If we get an even or non-integer value for our n, then there are no three consecutive odd integers that exists that sum to 63.
Answer:
The distance each bus travels is given as d=tr where
- d is distance bus travels
- t is a time bus travels
- r is the speed of the bus
:
Distance first bus travels for 4 hours is d1=4r.
Distance other bus travels for 4 hours is d2=4(r+12).
:
The total distance between them is 480 miles and since they go in opposite directions this distance is the sum of distances each bus travels.
:
d1+d2=480
4r+4(r+12)=480
4r+4r+48=480
8r+48=480
8r=432
r=432/8
r=54 mph, this is a speed of the first bus
:
r+12=66 mph, this is the speed of the second bus
Hope this helps you!!!! :D
The <em><u>correct answer</u></em> is:
His tutor did not have time to give him private lessons so he was encouraged to study on his own.
Explanation:
Quoting Euler himself in his unpublished, autobiographical writings, his tutor was named Johann Bernoulli.
Euler states "...<em>True, he was very busy and so refused flatly to give me private lessons; but he gave me much more valuable advice to start reading more difficult mathematical books on my own and to study them as diligently as I could; if I came across some obstacle or difficulty, I was given permission to visit him freely every Sunday afternoon and he kindly explained to me everything I could not understand</em>..."
