Answer:
1.Exact Form: 67/6
Decimal Form: 11.167
Mixed Number Form: 11 1/6
2. 2 9/10
3. Exact Form: −1/3
Decimal Form: −0.3333
Answer:
All real numbers greater than 0
Step-by-step explanation:
When you look at y = log (2) x
Base 2, exponent y.
x = 2^y
x can only be a positive number.
Answer:
Juan
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
For Ana
Ana read 15% of her 46-page book.
= 15% × 46 pages
= 6.9 pages
For Hillary
Hillary read 11% of her 72-page book.
= 11% × 72 pages
= 7.92 pages
For Roger
Roger read 12% of his 68-page book.
= 12% × 68 pages
= 8.16 pages
For Juan
Juan read 14% of his 69-page book.
= 14% × 69 pages
= 9.66 pages
The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.
From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.
Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
404 error: graph not found
anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours
all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity
percent means parts out of 100 so x%=x/100
so we have
School
Eating
Sleep
Homework
Free Time
School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours
Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours
Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours
Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours
Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours
Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours