How long is one lap? Multiply that by three and convert it into meters.
The line passes through (2,-3) and (4,2).
Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2
The equation of the line is therefore
Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16
Answer: C. 5x - 2y = 16
Answer is D) 5 mc, 15 t&f
you have two unknown variables, thus you need two equations
definitions:
a = quantity of multiple choice questions
b = quantity of true and false questions
100 points = a*11 points/question + b*3 points/question
20 questions = a +b
using 2nd equation, find equation for 'a':
a = 20 - b
substitute this equation for 'a' into 1st equation:
100 = 11a + 3b
100 = 11(20 - b) + 3b
100 = 220 - 11b + 3b
100 - 220 = -8b
-120 = -8b
-120/-8 = b
15 = b
resolve 2nd equation now knowing value of 'b':
a = 20 - b
a = 20 - 15
a = 5
verify solution is correct by substituting values into first equation
11a + 3b = 100
11(5) + 3(15) = 100
55 + 45 = 100
100 = 100 [OK]
verify solution is correct by substituting values into second equation
a + b = 20
5 + 15 = 20
20 = 20 [OK]
Answer:
See below.
Step-by-step explanation:
The volume of the storage in the truck is 8.0 * 15.0 * 8
= 960 ft^3.
Now we would divide this by the volume of one box. This will give us the required number of boxes.