Answer:
- there are no solutions (lines do not intersect)
- there is one solution (lines intersect at one point)
- there are an infinite number of solutions (lines overlap—are the same line)
Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
- The lines may be parallel, hence never intersect. (<em>No points</em> will be on all the lines.)
- The lines may intersect at <em>one point</em>.
- The lines may be the same line, overlapping, identical, coincident, consisting of <em>all the same points, an infinite number</em>.
So here's gives that
total weight of 25 bags = 50 x 25
= 1250
total cost of 25 bags weighing 50 kg is = 15000
cost of 1 kg = 15000 ÷ 1250 = 12
now total weight of 15 bags weighing 30 kg = 450
cost per kg = 12
cost of 15 bags weighing 30 each = 450 x 12
Answer = 5400 rupees.
For this item, we represent the very original value or price of the given item by x such that increasing the retail price by 40 percent will give us 1.4x. Also, when the retail price of the item is reduced by 25 percent, we have.
new retail price = 1.4x (1 - 0.25) = 1.05x.
This means that the new retail price is only 5% over the manufacturer price.
There is approximately 
weeks in a month. So you divide 2165 by , which equals out to approximately $499.62. Then you divide $499.62 by the 40 hours, which equals out to approximately $12.49 per hour of working.
Answer:
9 hours, 20 minutes
Step-by-step explanation:
When two ferries work together, they transport a day's cargo in 7 hours
The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1
The sum of the ratio = 4 (3 + 1)
This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.
Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.
9.33 hours = 9 hours, 20 minutes.
