A landscaper has a total of $800 to spend on bushes at $20 each and trees at $50 each

Mathematics

1 answer:

NemiM [27]3 years ago

4 0

Answer:

x=40 y=16

Step-by-step explanation:

20x+50y=800 you can turn it into slope-intercept form and it would end up being y=-2/3x+16 so now you have your y intercept (16) and you know your rise and run -2(rise)3(run).

Or you can substitute a zero for x and solve for y

20(0)+50y=800 which equals 50y=800 which equals 16 y=16

then you substitute a zero for y and solve for x

20x+50(0)=800 which equals 20x=800 which equals 40 x=40

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Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take

olganol [36]

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as x (in km/h)

Let's assign the speed of the wind as y (in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (we are converting the minutes to hours by dividing by 60);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5