Answer:
The answer would be -4.
Step-by-step explanation:
This is because the product of a number and -3 must be 8 less than 20, which is 12. And -3 times -4 is 12.
In order to calculate, you need to find their LCM
LCM of 5,6 and 8 is equal to 120
So, That time will be 120 sec = 2 min.
In short, Your Final Answer would be 2 min.
Hope this helps!
The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.
<h3>How many most likely purchased crunchy-flakes cereal?</h3>
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
The first step is to determine the ratio of people who preferred crunchy-flakes cereal:
Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2
Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000 customers.
To learn more about ratios, please check: brainly.com/question/25927869
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Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
