Can someone correct them
9)Science:Jose rode his trail bike for 10miles. two-thirds of the distnace was over a mountain trail. How long is the mountain trail?
My answer: 2/3-10=9 miles
10) perform the indicated operations
3 and 3/4 (divided by ) 1 and 3/8
My answer:2.72
9) 2/3 of 10 is not 9. Try again
2/3 of 10 is the same as 2/3 x 10.
10)Close, but not quite right. In decimal form the answer is
2.7272727... , so 2.73 is closer than 2.72 when you round it off.
In fractional form it is
15/4 divided by 11/8
= 15/4 x 8/11 = 30/11
That is the exact answer.
9) To find the length of the mountain trail, we need to calculate two-thirds of the total distance.
First, convert the distance into a fraction: 10 miles = 10/1.
Next, multiply the fraction by two-thirds to find the length of the mountain trail: (10/1) x (2/3) = 20/3.
Therefore, the length of the mountain trail is 20/3 miles, which is approximately 6.67 miles.
10) To divide mixed numbers, we need to convert them into improper fractions.
The first mixed number, 3 and 3/4, can be written as an improper fraction: (4 x 3 + 3)/4 = 15/4.
The second mixed number, 1 and 3/8, can be written as an improper fraction: (8 x 1 + 3)/8 = 11/8.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (15/4) ÷ (11/8) = (15/4) x (8/11).
Multiply the numerators together: 15 x 8 = 120.
Multiply the denominators together: 4 x 11 = 44.
Therefore, the division of 3 and 3/4 ÷ 1 and 3/8 can be written as the fraction 120/44, which simplifies to 30/11. This is the exact answer.
In decimal form, 30/11 is approximately 2.7272727..., so rounding it to the nearest hundredth gives us 2.73.