Group MCA6; home work for MS17; due 01-04-2017
W1
After they switched the digits of a two-digit number the number increased by 54.
What was that number? How many solutions are there?
W2
There are 735 oranges in two boxes. There are 14 times more oranges in
the first box than in the second box. First box has X more oranges than the
second box. Find X.
W3
At 6:00 am a car left city A and headed for city B at 80 km/h. At 9:00 am another
car left city B 11and headed for city A at 90 km/h. AT what time did cars meet if
the two cities are 580 km apart?
W4
Distance between two towns along the river is 189 miles. How much time the
ship needs to do a round trip, if its speed downstream is 27 mph (miles per hour)
and its speed upstream is 21?
W5
A car traveling at 90 miles per hour for three hours travels the same distance as
a car traveling at 80 miles per hour for X minutes. What is X?
Solve equations
E1
5 / (2*x) - 4 / (6*x) - 3 / (8*x) = 5/12
E2
2 / (3*x) - 3 / (7*x) + 1 / (6*x) = 2/7
E3
7 / (3*x – 2) + 9/ (6*x - 4)
Simplify expression
A1
Factor
a*x + x2
= 23 / 26
A2
Factor and reduce ratio
(a*x + a2) / a
A3
Factor and reduce ratio
(a*x + x2) / (a + x)
P1.
Successive discounts of 40% and 40% are equivalent to a single discount of what
percentage?
P2.
Successive discounts of 50% and 50% are equivalent to a single discount of what
percentage?
P3.
Successive discounts of 70% and 30% are equivalent to a single discount of what
percentage?
P4
Bank pays 6% annual interest. My account increased by $330 for the year. How
much do I have now on my account?
P5
Bank pays 12% annual interest. My account increased $330 for the year. How
much do I have now on my account?
G1
Consider the sequence
5, 2, 1, 5, 2, 1, …
What is the value of 101-th term? What is the sum of the first 101 terms?
What is the value of 201-th term? What is the sum of the first 201 terms?