The common denominator between 17/21 and 5/6 is 42, so the fractions can be rewritten as common denominators: <u>34/42 and 35/42</u>.
<h3>How to express two fractions as common denominators?</h3>
Two fractions can be expressed as common denominators by finding the lowest common multiple of the denominators in the original fractions.
For instance, the lowest common multiple of 21 and 6 is 42 because both 21 and 6 can divide 42 without a remainder. In its expanded versions, 42 is 2 x 21 and 42 is also 7 x 6.
We can then multiply the numerator and denominator 17/21 by 2 to get <u>34/42</u> and the numerator and denominator 5/6 by 7 to get <u>35/42</u>.
Thus, 17/21 and 5/6 expressed as common denominators are <u>34/42</u> and <u>35/42</u>.
Learn more about common denominators at brainly.com/question/1098206
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9514 1404 393
Answer:
(a) The blue line ... solution ... (-6, -2)..
Step-by-step explanation:
The second equation describes a line with negative slope and a y-intercept of -4. This is clearly the red line on the graph.
The blue line represents the equation 2x -3y = -6.
The point of intersection of the two lines is (-6, -2), so that is the solution to the system of equations. This, by itself, is sufficient for you to choose the correct answer.
Answer:
17 - m
Step-by-step explanation:
<em>because</em><em> </em><em>1</em><em>7</em><em> </em><em>is </em><em>being</em><em> </em><em>decreased</em><em> </em>
<em>and </em><em>it </em><em>is </em><em>decreased</em><em> by</em><em> </em><em>m</em>
<em>so </em><em>the </em><em>correct</em><em> </em><em>equation</em><em> </em><em>will</em><em> </em><em> </em><em>1</em><em>7</em><em> </em><em>-</em><em> </em><em>m</em>
Answer:
A: (-1,0)
B: (1,1)
C: (5,3)
(0,½)
(7,5) doesn't lie on the line
Step-by-step explanation:
Slope: (3-1)/(5-1) = ½
y = ½x + c
0 = ½(-1) + c
c = ½
y = ½x + ½
(0,½) is on the line
y = ½x + ½
Check for (7,5)
5 = 7/2 + 1/2
5 = 4 is a false statement
John would e 24 and mark would be 12
