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.
Answer:
a) the initial value is $125, and it represents the cost Navin has to pay in the beginning
b) the rate of change is $20 per month, and it represents the cost he has to pay per month
c) linear; the equation for it is y = 20x + 125
d) The rate of change is constant because each month, Navin always has to pay $20.
e) This is <u>partial variation</u> because the equation y = 20x + 125 doesn't follow y = kx
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Step-by-step explanation:
180-89=91(angles on a straight lline)
5x-24=91(Corresponding angles)
5x =91+24
5x =115
<em> x =23 degrees</em>
94+13x-5=180(allied angles)
94+13x-5 =180-94+5
13x =91
<em> x=7</em>
7(x-7)=7x-49
7x-49=126(corresponding angles)
7x =126+49
7x=175
<em> x=25</em>
<em>Hope you got it </em>
<em>If you have any question just ask me</em>
<em>If you think this is the best answer please mark me as BRAINLIEST</em>
Answer: C. 218085
Step-by-step explanation: Scientific calculator helps.
Answer:
(-2.5, -4.5)
Step-by-step explanation:
