Jamie and owen joined a monthly walking challenge at their youth center. jamie has already walked 120 minutes and plans to walk 20 minutes per day. owen plans to walk 30 minutes per day. let x represent the number of days and y represent the total number of minutes walked during the challenge. which system of equations can be used to find the number of days it will take for owen and jamie to have walked the same number of minutes

y= 120+20x

y=30x

When jamie and owen walk for same minutes then: 120+20x=30x

Step-by-step explanation:

Given :

Jamie has already walked 120 minutes and plans to walk 20 minutes per day. Owen plans to walk 30 minutes per day.

To Find: . which system of equations can be used to find the number of days it will take for owen and jamie to have walked the same number of minutes

Solution :

Let x represent the number of days and y represent the total number of minutes walked during the challenge.

Since Jamie plans to walk 20 minutes per day

So, Jamie walked for x days =20 x minutes

Jamie already walked for 120 minutes

So total minutes for which jamie walked :

y= 120+20x ---(a)

Since Owen plans to walk 30 minutes per day

Owen walk for minutes in x days = 30x

So, y=30x ---(b)

Now when jamie and owen walk for same minutes then:

120+20x=30x

⇒120=10x

⇒x=12

Thus jamie walked for minutes = 120 +20*12 =360

Own walked for minutes = 30*12 =360

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).