Answer:
1) B. $12
2) B. Rich burns 1 more calorie per minute than Katie
3) C. Jeffery walks 5 meters per minute slower than Fumi.
Step-by-step explanation:
1) earnings / hours = salary
salary = 24/2 = 60/5 = 96/8 = 12
salary = $12
2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.
3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.
Answer:
Step-by-step explanation:
4 hours × (¼ in)/hour = 1 in
6 hours × (½ in)/hour = 3 in
Total snowfall over ten hours = 1 + 3 = 4 in
Answer:
6.2
Step-by-step explanation:
Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.
Now, you that area for a triangle is 1/2*base*height.
To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:

Height is the same for both triangles so Height total = 4 ft.
Now the total area can be calculated:
Area total= 1/2* base_total * height_total
Area total = 1/2 * 5ft * 4 ft
Area total = 20 / 2 = 10 ft squared
Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.
Area Empty Triangle = 1/2 * base_empty * height_empty
Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared
Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be

Then the sum of a number and 3 subtracted from 10 would be

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:

Hence, the number is 5
Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.
Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.
<6 has the same matching corner with <2.
Therefore, <6 corresponds with <2