A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in th
2 answers:
Answer:
120 sedans are in the fleet.
Step-by-step explanation:
A fleet of vehicles is comprised of 60 vans, 20 limos and X sedans.
It is given that 10% of all vehicles are limos.
Let all vehicles be n
10% × n = 20
0.10n = 20
n =
n = 200
Now we have to calculate the number of sedans.
So 60 vans + 20 limos + x sedans = 200
80 + x = 200
x = 200 - 80
x = 120
Therefore, 120 sedans are in the fleet.
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Answer:
The following points are not arranged in a parallelogram or rectangle order.
Step-by-step explanation:
Well first we need to graph the following.
A(1,1) B(2,2) C(3,3) D(4,4)
By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.
It is a line with a slope of 1 or x.
Patrick's statement is incorrect.
Explanation:
Crackers come in package of = 24
Cheese slices come in package of = 18
As given, Andy wants one cheese slice for each cracker so we will find the least common multiple of 24 and 18.
The L.C.M is 72.
So, Andy needs 72 crackers and 72 cheese slices.
Number of cracker packages needed=
Number of cheese slice packages needed=
Hence, Patrick's statement is incorrect. Andy needs 3 packages of crackers and 4 packages of cheese slices to make them even.
Answer:
4√13
Step-by-step explanation:
1. Calculate the length of SN
Your triangle (below) is a relatively tall isosceles triangle.
∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.
SN² + NT² = ST²
SN² + 4² =22²
SN² + 16 = 484
SN² = 468
SN = √468 = 6√13
2. Calculate the length of SX
UM and SN are lines from an angle to the centre of the opposite side, so they are medians.
The medians of a triangle meet at a single point, X — the centroid.
Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.
Thus,
SX = ⅔SN = ⅔ × 6√13 = 4√13
