Answer:
Option D - 
Step-by-step explanation:
Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.
To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?
Solution :
We have given that,
In 4 minutes we wrap 1 box.
Let x be the number of gift wrap in 5 hours.
Convert 5 hours into minutes,
1 hour = 60 minute
5 hour = 
minute
i.e. In 300 minute we wrap x box.
The proportion defined the same rate is given by,
When we solve the proportion,
Therefore, Option D is correct.
Answer:
Step-by-step explanation:
Discrete Variables can meaningfully have only specific values:
Number of coin flips: 4.
Number of books published: 2.
Distance walked, rounded to the nearest kilometer: 3
(Must be rounded up or down)
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function
Have a look at the attached graph.
- The red portion represents the graph of the function .
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
There are 2 triangles here. You have to drop an altitude and determine the length of it. You can use the fact that sin45 = h/5 (h is the height) and get that the height is 3.5. The rule then is if h is smaller than b which is in turn smaller than c, you have 2 triangles. This is the case of the ambiguous triangle, that SSA that you cannot use to prove congruency. The rules are very particular for whether or not 0, 1, or 2 triangles exist. Learn them.
