Answer: 1/6
Step-by-step explanation:
<u>Given:</u>
4/9 and 11/18
<u>Solve:</u>
<em>STEP ONE: Make the denominators equal by determining the LCM</em>
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
<em>STEP TWO: Compare the size and determine the greater one.</em>
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
<em>STEP THREE: Find the difference between the two fractions.</em>
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
Please let me know if you have any questions
Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given Inequalities can be solved as,
5 - x > 7
-x > 7 - 5
-x > 2
x < -2
2x + 3 ≥ 13
2x ≥ 10
x ≥ 5
As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.
This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.
Learn more about Inequality:
brainly.com/question/19491153
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Answer:
$49
Step-by-step explanation:
Given that the discounted price is $43.61 and this was at an 11% discount
hence the discounted price represents 100% - 11% = 89% of the original price.
if:
89% of original price = $43.61
1% of original price = $(43.61 / 89)
100% of original price = $(43.61 / 89) x 100 = $49
Simply the equation by using cross-multiplication, you get 30=5q
Then you swap sides of the equation, you get 5q=30
Then you divide both sides of the equation by 5
Your answer is q=6
Answer:
m= 2 / 3 b= -2
Step-by-step explanation:
you have to look at the graph to find the y-intercept
then do this to find the slope
m =
y2 - y1
x2 - x1
you plug in all the numbers to get
m=
<u>0+4</u>
3+3
(it would be 3 minus, negative 3 which looks like: 3- - 3 becomes 3+3)
m=
<u>4</u>
6
and simplified that would be
m= 2/3
