First we need to multiply to make the fractions have equal denominators so we can add/subtract.
math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12
Now we can find the time she spent on history (I assume this is what you are looking for)
Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12
Amy spent 5/12 of her time working on history.
Answer:
46,499 digits
Step-by-step explanation:
Total pages of book = 11,521
9 pages numbered 1 - 9 that need 1 digit each = 9 × 1
= 9 digits
90 pages numbered 10 - 99 that need 2 digits each = 90 × 2
= 180 digits
900 pages numbered 100 - 999 that need 3 digits each = 900 × 3
= 2,700 digits
9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4
= 36,000 digits
1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5
= 7,610 digits
Total digits needed = 9 digits + 180 digits + 2,700 digits + 36,000 digits + 7,610 digits
= 46,499 digits
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Are your numbers right? Diana worked on her project for 613 hours, Gabe worked on it for 134 times as long as Diana, and Paula worked on her science project 34 times as long as Diana? Assuming they are, It is false that Diana worked longer on her science project than Gabe worked on his. Tell me if I read the question wrong, I am happy to help.
The square root of 40 is 6.33
