Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answers
Answer:
See below
Step-by-step explanation:
Part A
Let number of days be d, then the equation is:
- 50d + 200*0.6 = 1620
Part B
Solution of the equation
- 50d + 120 = 1620
- 50d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality
- 50d = 1500
- 50d / 50 = 1500/50 ⇒ division property of equality
- d = 30
Part C
- 30 days as above
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The required simplified solution of the given expression is -4.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= -6 - |3 - 7| × 4 ÷ 8 - (-2)
Simplifying the above expression using the PEMDAS rule,
= -6 -|-4|×4÷8+ 4
= -6 - 16÷18 + 4 [∵ |-4| = 4]
= -6 - 2 + 4
= -4
Thus, the required simplified solution of the given expression is -4.
Learn more about simplification here:
#SPJ2
-6-4*4/8-(-2)
-6- 16 /8-(-2)
-6 -2 - (-2)
-8 - (-2)
-6
Hope this helped
Answers
Distance = speed × time
Given
Distance = 225 km
Time = 2.5 hrs
Find speed:
D = s × t
225 = s × 2.5
Divide by 2.5 on either sides to isolate s
2.5 and 2.5 cancels out
90 = s
speed = 90 km/hr (as the given were km and hr)
cost to be the same?
A 90 students
B 50 students
C 45 students
D 15 students
Answers
Answer:
C 45 students
Step-by-step explanation:
45x4= 180
180 plus 60 equals 240
45x2= 90
150 plus 90 equals 240
Answer:
45
Step-by-step explanation:
Answers
-20+20w=73
You need to get your variable by itself. Try to section your problem off if you need to. I always like to do my order of operations backwards. The inverse operation of -20 is adding 20 so to cancel that out you need to add 20 to each side. Now you are left with 20w=93.Now you need to get rid of the 20. The inverse of multiplying is dividing. So divide both sides by 20. You are left with 1w=4.65. Which is the same w=4.65 or you could say w=4 13/20. Hope this helps.