Answer:
2 1/10 and 21/10
Step-by-step explanation:
2.1 is 2 + 0.1 when expanded.
2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be 2 1/10.
The improper fraction is just 21/10 (convert the mixed number into improper form).
Converting from mixed number to improper: <u>Multiply the number in the front (in this case 2) by the denominator. </u>
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<u>That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21. </u>
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<u>21 would be our numerator and the denominator would stay the same (10). </u>
21/10 is the improper form.
Answer:0.25 or 25%
Step-by-step explanation:
¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
11x + 5 - 7x - 6 = 10
11x - 7x + 5 - 6 = 10
4x - 1 = 10
+ 1 + 1
4x = 11
4 4
x = 3³/₄
Answer:
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
Step-by-step explanation:
Micheal runs 3 miles in one hour or 60 minutes.
In one minute he runs 3/60= 1/20 or 0.05miles.
Jack runs 4.5 miles in one hour or 60 minutes.
In one minute he runs 4.5/60= 45/600= 9/120= 3/40 or 0.075 miles.
So Jack is 0.075/0.05 = 1.5 times faster than Micheal.
or Micheal is 1.5 times slower than Jack.
Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles
Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles
So at 3 pm both will have covered equal distance= 3miles.
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
