Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
I would say you have a probability of 1/4 to pick a 3 in the first round and 1/3 in the second round
1/4 plus 1/3 = 7/12
You multiply it by the percent by your state (eg. california is 7.5%, so you multiply x amount by .075)
Answer:
<h2>
y=<u>
-2</u>x
+<u>7</u></h2>
<u>Here</u><u>,</u>
Two points given: (3,1) and (7,-7)
Equation of line is y= Mx+b
y= -2x +b
It passes through (3,1)
Equation of line:
<h3>
y= -2x+7</h3>
Hope this helps..
Good luck on your assignment..
