i need help please with two question ,one of is: 1 Six students slept 8 1/2 hours.What total number of hours do these six values represent ?MY ANSWER IS 51
on THE picture is scale from 6 1/2 TO 10
2 Oliva said "the longest time value is 1 1/2 times the shortest time value "Is she correct ?Explain my answer is 3 1/2 THANK YOU
1: it is saying, six people are sleeping, to find total it is 8 1/2 + 8 1/2 + 8 1/2 + 8 1/2 + 8 1/2 + 8 1/2. and your answer came out to be 51. TRUE :)
2: 6 1/2 * 1 1/2 is 13/2 * 3/2 which is 39/4! this is really 9 3/4 WHICH IS NOT 10! Oliva is wrong! hahaha! so that is your answer <#
THANK YOU SO MUCH :)
1) To find the total number of hours the six students slept, we need to multiply the number of students (6) by the number of hours each student slept (8 1/2 hours).
To multiply a whole number by a fraction, we can convert the whole number into a fraction by giving it a denominator of 1. So, we can convert 6 to a fraction by writing it as 6/1.
Now we can multiply:
6/1 * 8 1/2 = (6 * 8 + 1 * 1)/(1 * 2) = (48 + 1)/2 = 49/2
Since 49/2 is an improper fraction, we can convert it to a mixed number:
49/2 = 24 1/2
Therefore, the total number of hours the six values represent is 24 1/2 hours.
2) Olivia said that the longest time value is 1 1/2 times the shortest time value. To determine if she is correct, we need to compare the longest time value to 1 1/2 times the shortest time value.
Let's assume the shortest time value is 6 1/2.
To find 1 1/2 times the shortest time value, we multiply 6 1/2 by 1 1/2:
6 1/2 * 1 1/2 = (6 * 1 + 1 * 2)/(2 * 2) = (6 + 2)/4 = 8/4 = 2
Since the longest time value is given as 10, which is greater than 2, Olivia's statement is incorrect. The longest time value is not 1 1/2 times the shortest time value.
So, your answer of 3 1/2 is not correct.
To answer your first question, we need to find the total number of hours all six students slept. If each student slept for 8 1/2 hours, we can calculate the total by multiplying the number of students (6) with the number of hours per student (8 1/2):
Total number of hours = 6 (students) × 8 1/2 (hours per student)
To multiply a whole number by a fraction, we convert the whole number to an improper fraction by multiplying it by the denominator of the fraction and adding the numerator. The calculation becomes:
Total number of hours = (6 × 2 + 1) / 2 (students) × 17 / 2 (hours per student)
= 13/2 (students) × 17/2 (hours per student)
= (13 × 17) / (2 × 2)
= 221 / 4
= 55 1/4
Therefore, the total number of hours the six students represent is 55 1/4 hours, not 51.
For your second question about the scale on the picture, the scale goes from 6 1/2 to 10. We need to find the difference between these two values. To do this, we subtract the smaller value from the larger value:
Difference = 10 (larger value) - 6 1/2 (smaller value)
To subtract a mixed number, we convert it to an improper fraction. The calculation becomes:
Difference = 10 - (6 × 2 + 1) / 2
= 20/2 - 13/2
= 7/2
= 3 1/2
Therefore, the difference between 6 1/2 and 10 on the scale is 3 1/2. Olivia's statement is correct; the longest time value is indeed 1 1/2 times the shortest time value.