Answer:
Amina practices the piano for 54 minutes each week.
Step-by-step explanation:
45% * 120min = 0.45 * 120min = 9/20 * 120min = 9 * 6min = 54min
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8
Answer:
2 3/4.
Step-by-step explanation:
Eliminate 1/2 from the side with w.
<u>Subtract 1/2 from both sides:</u>
Answer:
5/9
Step-by-step explanation:
Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.
To make this easier, let's substitute a different number for 5/6. We'll say 2.
If he has completed TWICE the length of the race, how would you determine how far he ran?
You would multiply 2/3 by 2! This same principle can be applied to the problem.
To determine the total distance run in miles, we can write it as 2/3 * 5/6
(NOTE that * is known as "times" or "multiplied by")
With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!
But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.
Hope this helped!