You have to add the whole numbers, which is 5 + 2 = 7. Then you add the fractions. In order to do that, you have to convert 4/9 to X/36 so 15/36 and 4/9 have the same denominator. In this case, 9 is a factor of 36, so you can multiply 4/9 by 4/4 (which is like multiplying by one). The result is 16/36. Now add the numerators 15 + 16 = 31. Denominator remains 36 because you do not change it when you add fractions.
The result therefore is 7 and 31/36.
Answer:
21/5 or 4.2
Step-by-step explanation:
2x+11=32-3x
5x+11=32
5x=21
x=21/5
He worked an 8 hour day 3 days.
Let x be the number of 8 hour days he works. Then 10-x is the number of 6 hour days he works.
8x + 6(10-x) = 66
Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66
Combining like terms,
2x + 60 = 66
Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
There were 3 days he worked 8 hours.
Answer:
She gave her stylist a 24 dollar tip.
;p
She would have to take 5.29 miles to save round-trip if she had taken the direct route.
<h3>What is the
Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.
Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.
Let's consider x to be the direct route.
By Pythagoras theorem, we can find the direct route
Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.
Learn more about Pythagoras theorem;
brainly.com/question/343682
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