Answer:
We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
Step-by-step explanation:
Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.
- 10 a.m. by 12 p.m means the total number of hours = 2 hours
Given that the tickets sold in 2 hours = 208
Thus,
Unit rate = 208 tickets / 2 hours
= 104 tickets per hour
Therefore,
Tickets sold in the first 5 hours of the tickets go on sale:
104 × 5 = 520 tickets
Therefore, we conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
Answer:
360 degree
Step-by-step explanation:
The sum of all the exterior angles is 360 for any polygon.
This can be proved for polygon with 20 sides also.
We know that sum of all the angles of polygon is given by formula = (2*n -4) *90
where n is the no. of sides of polygon
for 20 sides polygon sum of sum of all the angles = (2*20 -4) * 90
= (40-4)*90 = 36*90 = 3240 degree
measure of each angle of polygon = sum of total angles of polygon/ no of sides of polygon = 3240/20 = 162
We also know that sum of interior and exterior angle of triangle is 180 degree, as interior and exterior angle lies on straight line and they are supplementary
so
162 + value of exterior angle = 180
=> value of exterior angle = 180 - 162 = 18
Value of one exterior angle is 18 degree
in 20 sided polygon there are 20 exterior angle
therefore, value of 20 exterior angle is 18*20 degree which is 360 degree.
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As a general point one can memorize than sum of all the exterior angle for a polygon with any number of side is 360.
Answer:
7.5 hours
Way Number One:
<em>This way uses critical thinking</em>
These two trucks are traveling in opposite directions (West and East). One truck moves 49 miles every hour, and the other moves 63 miles per hour. Since they are traveling in opposite directions, we do not have to worry about angles or use a distance formula.
Every hour one truck moves 49 and the other 63. So, if we add 49 to 63 we will get their distance apart after one hour.
-> 49 + 63 = 112 miles
Now, we want to know how long it will take for them to be 840 miles apart. We can divide 840 by 112 to see how many hours it will take, because every hour the trucks become 112 miles farther apart.
-> 840 / 112 = 7.5 hours
Way Number Two:
<em>This way uses a graphing calculator</em>
We can turn the distance traveled by each truck into equations. Let y be miles traveled and x be time spent.
First truck, y = 49x
Second truck, y = 63x
We know their distance apart will be the miles traveld added together, so y = 63x + 49x. Our answer will be x when y is equal to 840. After graphing, we get the point of (840, 7.5)
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:

Step-by-step explanation:
If the third multiple of the whole number is
. This means that
is completely divisible by the number
.

So, the whole number is
.
The fifth multiple would mean the product of
and 

The fifth multiple of the whole number is
.