Answer:
Step-by-step explanation:
The answer is geosphere and hydrosphere
A mixed number is a number that is a whole number with a fraction
so numbers that are mixed are greater than 1
so therefor since both have to be greater than 1, the fractions have to add up to equal 1
so the mixed numbers are (1 and x) and (1 and y) where x+y=1 so some examples are
1 and 1/2+1 and 1/2
1 and 1/3+1 and 2/3
1 and 1/4 +1 and 3/4
1 and 1/1000+1 and 999/1000
etc
Answer:
(1)
Karen: 
Alice: 
(2): Slope is 2
(3) y intercept
--- For Karen
--- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
Solving (1): Complete the equation.
For Karen:
--- the rate
--- additional spendings
For Alice:
--- the rate
--- additional spendings
The general equation is;
For Karen, it becomes
For Alice, it is:
(2): The slopes.
In (1), we have:
--- the rate (for both Karen and Alice).
This rate implies the slope.
<em>Hence, the slope is 2</em>
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
--- For Karen
--- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
Subtract both equations
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
<em>Hence, it is not possible to spend the same amount for the same number of loaves</em>
Answer:
0.56
Step-by-step explanation:
What is the probability that his mother returns just in time to catch Gabe stealing a cookie?
The probability of this is the same as 1 minus the probability that Gabe is NOT caught.
- Judy could return at anytime in the next 90 seconds
- Gabe spends the first 40 seconds pondering... time wasted=40secs
- It takes 30 seconds (out of the remaining 50secs) to finish eating a cookie without a trace
- The question says that Gabe was going to do it, so he probably did
Now we're looking for the probability that he gets caught. That is, probability that he does not "successfully" complete the 30secs task within the remaining 50secs.
Remember that each second has an equal probability of being the second that Judy comes back in. The latter of the 90 seconds does not carry a higher probability!
So the probability of catching Gabe (despite the 30secs it takes to complete his task) is 50/90 which is equal to 0.56
Answer:
x=2
Step-by-step explanation:
DE=4x+2, EF=3x, and DF=16
DE=4(2)+2, EF=3(2), and DF=16
DE=10, EF=6, and DF=16
