Answer: The Perimeter of the rectangle, P= 16v −24w
Step-by-step explanation:
Perimeter of a rectangle = 2( L +W) = 2L + 2W
The width of a rectangle is given as (3v-3w) centimeters,
its length is given as (5v-9w) centimetres
The Perimeter,P will now be = 2L + 2W
P=2( 3v-3w) + 2( 5v-9w)
P=6v −6w + 10v - 18 w
adding like terms
P=6v + 10v −6w −18 w
P= 16v −24w
Complete question is: Each bicycle have speed 10 mi/h and fly flies at 21 mi/h. How far the fly flies?
Answer:
47.25 mi
Step-by-step explanation:
The relative velocity of the bicycles is 10+10 = 20 mi/h
Time in which the two bicycles meet:

Distance covered by fly:

Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function

We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
Answer:

Step-by-step explanation:
Volume of a cone=1540
, Radius=7cm.
The height of a cone=h
When we need to find the height of a cone, we can use the formula of the volume of a cone, which is
to find the height of a cone.

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.


Move
to another side. 1540 divided by
to calculate what is the value of h, h is the height of a cone. Like this.


Rearrange the h.

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!
Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.



Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

Therefore, the number of possible sets at the dance is 31.