M + e + f = 11
e = 1/5m
f = 3m
m + 1/5m + 3m = 11 <== ur equation
5/5m + 1/5m + 15/5m = 11
21/5m = 11
m = 11 / (21/5)
m = 11 * 5/21
m = 55/21
m = 2.619 rounds to 2.62...milk
e = 1/5m
e = 1/5(2.62)
e = 0.53 .....eggs
f = 3m
f = 3(2.62)
f = 7.86...fabric softener
Answer:
The correct option is B.
Step-by-step explanation:
Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.
It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.
Angle P can be defined as
Therefore option B is correct.
Therefore option A, C and D are incorrect.
Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
Answer:
5/28 or 0.17857142
Step-by-step explanation:
use the calculator lol
Answer:
Step-by-step explanation:
given that the U.S. Department of Housing and Urban Development (HUD) uses the median to report the average price of a home in the United States.
We know that mean, median and mode are measures of central tendency.
Mean is the average of all the prices while median is the middle entry when arranged in ascending order.
Mean has the disadvantage of showing undue figure if extreme entries are there. i.e. outlier affect mean.
Suppose a price goes extremely high, then mean will fluctuate more than median.
So median using gives a reliable estimate since median gives the middle price and equally spread to other sides.