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IrinaK [193]
3 years ago
12

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t

he wheels make in one minute? rev/min
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer: The wheel make 315 complete revolutions in one minute

Step-by-step explanation: Given speed of convertible =45 miles/hr

To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d

3.14 x 48

C = 150.72 inches

Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.

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One end of a line segment has the coordinates (-6,2). If
CaHeK987 [17]

Answer:

The coordinates of the other end is (16,2)

Step-by-step explanation:

Given

End 1: (-6,2)

Midpoint: (5,2)

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

So

x = \frac{x_1 + x_2}{2} and y = \frac{y_1 + y_2}{2}

Where (x_1,y_1) = (-6,2) and (x,y) = (5,2)

So, we're solving for (x_2,y_2)

Solving for x_2

x = \frac{x_1 + x_2}{2}

Substitute 5 for x and -6 for x₁

5 = \frac{-6 + x_2}{2}

Multiply both sides by 2

2 * 5 = \frac{-6 + x_2}{2} * 2

10 = -6 + x_2

Add 6 to both sides

6 + 10 = -6 +6 +  x_2

x_2 = 16

Solving for y_2

y = \frac{y_1 + y_2}{2}

Substitute 2 for y and 2 for y₁

2 = \frac{2 + y_2}{2}

Multiply both sides by 2

2 * 2 = \frac{2 + y_2}{2} * 2

4 = 2 + y_2

Subtract 2 from both sides

4 - 2 = 2 - 2 + y_2

y_2 = 2

(x_2,y_2) = (16,2)

Hence, the coordinates of the other end is (16,2)

3 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
         7.2-17.4           -6
m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
3 years ago
Kendra had twice as much money as kareem. Kendra later spent $8 and kareem earned $6. By then,the two had the same amount of mon
Svet_ta [14]

Answer:

x = 2y

x - 8 = y + 6

replace x by 2y in the second equation

2y - 8 = y + 6

y - 8 = 6

y = 14

x = 2*14 = 28

Kendra had $28 and Kareem had $14.

6 0
3 years ago
Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0
3 years ago
Slope of 2y = -x + 10
777dan777 [17]
The slope would be -1 because of the x
6 0
3 years ago
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