Let
x = salesperson's weekly paycheck
y = second salesperson's paycheck
We have the following system of equations:
x + y = 1025
x = 1.40y
Solving the system:
x + y = 1025
1.40y + y = 1025
2.40y = 1025
y = 1025 / 2.40 = 427.0833333 $
x = 1.40y
x = 1.40 * (427.0833333) = 597.9166666 $
answer:
the amount of each paycheck is:
first persons paycheck = 597.92 $
second persons paycheck = 427.08 $
x^6
When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:
x^2 * x^4 = x^(2+4) = x^6
Answer:
-1 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions. New equation:
5/2 ÷ −15/8
Fraction division formula:
5x8/2x-15 = 40/-30
Convert:
-1 1/3
Answer:
147
Step-by-step explanation:
120 - (-27) = 120 + 27 = 147
Answer
Average speed of the train = 90 km/h and average speed of the airplane = 360 km/h.
Explanation:-
If speed of train = x then the speed of airplane = 4x km/h and we have the 2 equations
x = 1440 / (t + 12) (t = time taken by the train)
4x = 1440 / t................................(1) (t = time taken by train)
Multiply the first equation by 4:-
4x = 5760 / (t + 12).....................(2)
Combining equations (1) and (2):-
1440 / t = 5760 / (t + 12)
Cross multiplying:-
5760t = 1440t + 17,280
4320t = 17,280
t = 17280/4320
t = 4 hours
speed of train = 1440/ (4 + 12) = 90 km/h and speed of plane = 4*90 = 360 km/h.
