To determine the length and width of a rectangle, we can set up an equation using the given information and solve for the variables. By substituting the width back into the equation for the length, we find that the width is 9 meters and the length is 13 meters.
To solve this problem, we can start by using the given information to create equations. Let's assume that the width of the rectangle is 'w' meters. According to the problem, the length of the rectangle is 5 meters or less than twice the width, so the length can be represented as 2w - 5 meters.
The formula to calculate the perimeter of a rectangle is 2l + 2w, where 'l' is the length and 'w' is the width. We are given that the perimeter is 44 meters, so we can set up the equation as follows:
2(2w - 5) + 2w = 44
Simplifying the equation, we get:
4w - 10 + 2w = 44
Combining like terms, we have:
6w - 10 = 44
Next, we can isolate the variable by adding 10 to both sides:
6w = 54
Finally dividing both sides by 6, we find that:
w = 9
Therefore, the width of the rectangle is 9 meters. Substituting this value back into the equation for the length, we find:
l = 2w - 5 = 2(9) - 5 = 18 - 5 = 13 meters.
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Based on this random sample, approximately how many bottles will the factory reject from the day's production?
A.4
B.20
C.60
D.80
Answer:
option: D is correct.
Step-by-step explanation:
The random sample is given of 50 bottles which is depicted as:
1 bottle under weight
46 bottles correct weight
3 bottles over weight
As the bottles which are under weight and over weight are rejected.
that means out of 50: 4 bottles are rejected.
Now we have to find out the number of bottles rejected out of the 1000 bottles.
As 1000 is 20 times of 50.
Hence the number of bottles rejected will also get multiplied by 20.
Hence total number of bottles rejected=80.
Hence, option D is correct.
Answer:
The total assets of Aaron is $1026 .
Step-by-step explanation:
As given in the question
Aaron has a total net worth of $456. If his liabilities are $570 .
Thus
Assets = Liabilities value + Total net worth value
Put all the values in the above
= $570 + $456
= $ 1026
Therefore the total assets of Aaron is $1026 .
Answer:
£9000
Step-by-step explanation:
= £10 000×5×2
100
= 1000
= £10 000-1000
= £9000
Question
Find x and y of this triangle.
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
from the picture you have 90°, 67° and y in one triangle
and 90°, 38° and x in the other.
triangle with y:
180 - 90 - 67 = 23°
triangle with x
180 - 90 - 38 = 52°