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attashe74 [19]
2 years ago
12

You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per h

our faster. It takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
Mathematics
1 answer:
denpristay [2]2 years ago
7 0

Answer:

18/5 miles

Step-by-step explanation:

let d be the mountain dist path

upward biking

x miles - 1 hr

d 45 mins

3x/4 = d

riding down

x+3 - 60 min

d. - 20

(1/3)(x+3) = d

(x+3)/3 = 3x/4

4x+12 = 9x

x = 12/5

d =( 12*3)/(4*5)= 9/5

upward+downward = 2*(9/5) = 18/5

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Soloha48 [4]

Answer:

10) -1

11) 1/2 or 0.5

12) -1/5 or -0.2

13) -13/6 or -2.166666666

14) -1/8 or -0.125

15) 1/2 or 0.5

hope it helps;)

good luck!

4 0
3 years ago
The coordinates of the vertices if triangle ABC are A (1,-1) , B (1,4) , and C (8,4). What is the length in units of the line se
kaheart [24]

Length of the line segment is 5 units.

Step-by-step explanation:

  • Step 1: Length of the line segment that connects A and B is the distance between the points A (1, -1) and B(1, 4). x1 = 1, x2 = 1, y1 = -1, y2 = 4
  • Step 2: Calculate the distance using distance formula √(x2 - x1)² + (y2 - y1)²

⇒ Length = √(1 - 1)² + (4 - -1)² = √5² = 5 units

7 0
2 years ago
Compare fractions and mixed numbers
slamgirl [31]
A fraction can be improper 
Ex: 3/2
While a mixed fraction is a neater way of writing a fraction
3 1/2
6 0
3 years ago
Read 2 more answers
30 POINTS
fenix001 [56]

Answer:

The equation is (x-5)^{2}+(y-20)^{2}=9

Step-by-step explanation:

Given the following equation in the plane :

(x-a)^{2}+(y-b)^{2}=R^{2}

The set of points (x,y) that satisfy the equation graph a circle in the plane.The circle is centered at (a,b) and the radius of the circle is R.

For example, the set of points that satisfy : (x-2)^{2}+(y-3)^{2}=9

graph a circle of radius \sqrt{9}=3 centered at the point (2,3)

The first step to solve this exercise is to find the center of the circle.

The rectangle has vertices (0,0),(0,40),(10,40) and (10,0) so they will form a rectangle with width 10 units and height 40 units.

Given this situation, the center of the rectangle is at (5,20) (Half of the width in the first coordinate and half of the height in the second one)

The equation of the flower garden will be

(x-5)^{2}+(y-20)^{2}=R^{2}

The final step is to find the value of R.

Given that the rectangular backyard width is 200 feet and this is represented with a rectangle in the blueprint with width 10 units

10units=200feet ⇒ 60feet=\frac{(60).(10)}{200}units=3units

The radius of 60 feet is represented with 3 units in the blueprint.

Now we replace R=3 in the equation :

(x-5)^{2}+(y-20)^{2}=3^{2} ⇒

(x-5)^{2}+(y-20)^{2}=9

And that is the equation of the circle.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B2%7D%7B3x%7D" id="TexFormula1" title="\frac{1}{x}+\frac{2}{3
Setler79 [48]

Answer:

5/3x

Step-by-step explanation:

1/x + 2/3x

LCM of ( x, 3x ) = 3x

1/x

= ( 1/x ) * ( 3/3 )

= ( 1 * 3 ) / ( x * 3 )

= 3/3x

1/x + 2/3x

= 3/3x + 2/3x

= ( 3 + 2 ) / 3x

= 5/3x

6 0
3 years ago
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