First you must see how many seats were bought. To do this you must make a proportion
80 is a percent and percent's are always taken out of the 100. This means that one proportion will have 80 as the part and 100 as the whole
We want to know what 80% of 2,500 is in order to find how many seats were sold before the show. This means 2,500 is the whole and the unknown (let's make this x) is the part.
Here is your proportion:
Now you must cross multiply
x*100 = 80*2,500
100x = 200,000
To isolate x divide 100 to both sides
100x/100 = 200,000/100
x = 2,000
This means that before the night of the concert 2,000 seats were bought.
We are still not done with this problem because we want to know how many seats are left the night of the concert. To find this simply subtract 2,000 from the number of original seating (2,500)
2,500 - 2,000 = 500
On the night of the concert there were 500 seats left.
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
It is the odd number 1009
Step-by-step explanation:
Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.
2018 - 2017 = 1
2016 - 2015 = 1
...
4- 3 = 1
2 - 1 = 1
That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.
2.5 rounded to the nearest tenth is: 3
3.5 rounded to the nearest tenth is: 4
2 rounded to the nearest tenth is: 2
Answer:
F is at 3
Step-by-step explanation:
D F E
|________________|_________________|_________________|
-3 0 3 6
With a ratio of 2:3, there are 3 sections on this number line ( -3 to 0, 0 to 3, and 3 to 6). Where the second section is is where the ratio would fit, because section 2 of 3 is the ratio 2:3.
9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)
Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.
Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
