Afarmer plants corn and wheat on a 180-acre farm. the farmer wants to plant three times as many acres of corn as wheat. write a system of linear equations that represents this situation. use x to represent the number of aces of corn planted and y to represent the number of acres of wheat planted. how many acres of each crop should the farmer plant?

The corn should be in 135 acres and wheat in 45 acres.

Step-by-step explanation:

Consider the provided information.

It is given that x represents the number of aces of corn planted and y to represent the number of acres of wheat planted.

x is the number of acres of corn.

y is the number of acres of wheat.

Total is 180 acres

x+y=180

He wants to plant 3 times as many corn as wheat

This can be written as:

x=3y

Substitute the value of the x in x+y=180

x+y=180

3y+y=180

4y=180

y=45

Thus, the wheat should be plant in 45 acre.

Now find the value of x by substituting the value of y in x=3y

x=3(45)

x=135

The corn should be plant in 135 acre.

Hence, the corn should be in 135 acres and wheat in 45 acres.

positive

step-by-step explanation:

the quadrant is facing upwards

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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