Explanation: Just like any of your two-step equations,
in this inequality, start by isolating the x term which in this
case is -3x by subtracting 5 from both sides.
That leaves you with -3x < -24.
To get x by itself, divide both sides by -3 but watch out.
When you multiply or divide both sides of an inequality by a
negative number, you must switch the direction of the inequality sign.
So we have x < 8 and put your final answer in
set notation and it look like this → {x: x < 8}.
Answer:
1cm:100cm
Step-by-step explanation:
You have to convert the ratio into the same unit (I chose cm). If there are 100cm in a metre, there will be 300cm in 3m.
That leaves you with the ratio 3cm:300cm. To simplify, divide both sides by three leaving you with 1cm:100cm
Answer:
Mean = $229.32
Median = $231.15
Mode = $268.4
Step-by-step explanation:
Mean = the average.
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 11
Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11
Mean = 2522.56/11 = $229.32
b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.
So, to find the Median, we first arrange the variables in ascending order.
162.77
204.43
205.17
205.70
224.45
231.15
236.09
253.82
262.18
268.4
268.4
Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.
Median = $231.15
c) Mode is the number that appears the most in a distribution.
In this distribution, only 268.4 appears more than once.
Hence, the more is $268.4
Answer:
5/6
Step-by-step explanation:
You just need to ad 1/3 and 1/2 which would equal 5/6
Answer:
x=
or 0.75
Step-by-step explanation: