Answer:
Decrease by 3.9%
Step-by-step explanation:
54,500(1-x) = 52355
x=0.03935... = 3.935% or 3.9%
Answer:22
Step-by-step explanation: divide 46.2 by 14 to get 3.3 then divide 72.6 by 3.3 easy way but there is a harder one I just forgot lol
Let the distance from the tip of the base of the triangle to the point that the top of the rectangle meets the triangle be x, then the width of the rectangle is √3/2x and the length of the rectangle is L - x.
Thus, Area of the rectangle = √3/2x(L - x) = √3/2xL - √3/2x^2
For maximum area, dA/dx = 0
dA/dx = √3/2L - √3x = 0
√3/2L = √3x
x = L/2
L - x = L - L/2 = L/2
√3/2x = √3/2(L/2) = √3/4L
Therefore, the dimensions of the square are L/2 and √3/4 L.
The procedure for representing the product is described as following:
1) Draw the distance of the first negative number.
2) Extend the distance by the magnitude of the second negative number.
3) Draw the distance of the reflection of the result found in 2).
In the number line <em>negative</em> numbers represent <em>leftward</em> distances. The product of a <em>negative</em> number and a <em>positive</em> number is equal to the distance of the <em>negative</em> one by the number of times such distance is repeated. In addition, we know by algebra that the product of two <em>negative</em> numbers equals a positive number, so we know that distance becomes <em>rightwards</em> due to reflection on the former line segment.
The procedure is described as following:
1) Draw the distance of the first negative number.
2) Extend the distance by the magnitude of the second negative number.
3) Draw the distance of the reflection of the result found in 2).
We kindly invite to check this question on number lines: brainly.com/question/1889174
Answer:
50 stuffed animals and 22 mystery boxes.
Step-by-step explanation:
Firstly, we assign variables.
Let the number of stuffed animals be x and the number of mystery boxes is y
The probability of selecting a stuffed animal is x/72 while the probability is selecting a mystery box is y/72
Now, since the total probability can be 1:
This means that
x/72 + y/72 = 1 •••••••(i)