Answer:
4b, b, and 9b are like terms
Step-by-step explanation:
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.
Set up the equation
x = the smaller number
x + 15 = the larger number
x + x + 15 =39
solve for x
this will be the smaller number
add 15 to get the larger number
Answer:
71 1/4 pans of lasagna
Step-by-step explanation:
From the above question:.
4 cans of tomato sauce = 1 pan of lasagna
285 cans of tomato sauce = x
Cross Multiply
4x = 285 × 1
x = 285/4
x = 71 1/4 pans of lasagna
Violet could make 71 1/4 pans of lasagna
Answer:
Step-by-step explanation:
3x-4+3x-4=62
6x-8=62
6x=70
x=11 2/3
3(11 2/3)-4=31
measure of Line AB = 31
BC is equal to AC so
measure of Line BC = 31
