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Bond [772]
4 years ago
11

Alex returns a bike to a friends house from his own house in 1/2 hour. He walks back over the same route in 1.5 hours. If the av

erage speed on the bike is 8 mph faster than his walking speed, how far does alex live from his friend
Mathematics
1 answer:
ira [324]4 years ago
4 0

Answer:

Step-by-step explanation:

Let x represent his average walking speed.

If the average speed on the bike is 8 mph faster than his walking speed,it means that his biking speed is (x + 8) mph

Distance = speed × time

Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is

0.5(x + 8)

He walks back over the same route in 1.5 hours. This means that the distance covered is

1.5x

Since the distance covered is the same, then

1.5x = 0.5(x + 8)

1.5x = 0.5x + 4

1.5x - 0.5x = 4

x = 4 mph

Therefore, the distanceof Alex's house from his friend's house is

4 × 1.5 = 6 miles

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Step-by-step explanation:

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3 years ago
The sum of two numbers is 89. Three times the smaller
Ymorist [56]

Answer:

<u>The numbers are 40 and 49</u>

Step-by-step explanation:

Smaller number = x

Larger number = y

Let's write our system of equations:

x + y = 89

3x = y + 71

***************************

x = 89 - y

Substituting x in the 2nd equation and solving for y:

3 (89 - y) = y + 71

267 - 3y = y + 71

-3y - y = 71 - 267 (Like terms)

-4y = - 196

y = -196/-4

y = 49

Solving for x in the 1st equation:

x + y = 89

x + 49 = 89

x = 89 - 49

x = 40

<u>The numbers are 40 and 49</u>

6 0
3 years ago
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make
Lisa [10]

9514 1404 393

Answer:

  The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Step-by-step explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

  8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

  8(x -2.75) = 78 . . . . correct equation

The solution is ...

  x -2.75 = 9.75 . . . . divide by 8

  x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.

4 0
3 years ago
Read 2 more answers
Find the coordinates of the point where y-4x=1 crosses the y axis
denpristay [2]

Answer:

(a) (-1/4,0)

(b) k = (10-c)/2

Step-by-step explanation:

(a) A point passing through the y-axis is the same as finding the y-intercept.

[Move terms to right-hand side; y = mx + b form]

y = 4x + 1

[Find x, when y = 0]

0 = 4x + 1

-1 = 4x

-1/4 = x

At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.

(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant

[Find x by plugging in known values]

Using y = 2x + c,

10 = 2k + c

10 - c = 2k

(10-c)/2 = k

7 0
3 years ago
Read 2 more answers
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Studentka2010 [4]
He runs 1 mile at 2 track practices then 2×8=16
the answer is C) 16 miles
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