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forsale [732]
3 years ago
12

A cyclist rides her bike at a rate of 2 meters per second. What is this rate in kilometers per hour? How many kilometers will th

e cyclist travel in 3 hours? Do not round your answers.
Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

The speed v is 12 m/s.

 

You need to convert the seconds to hours  and meters to kilometers:

 

3600s = 1 hr

 

If you divide 3600 on both sides you will get

 

1 s = (1/3600) hr

 

 

1000m = 1 km

 

If you divide 1000 on both sides you will also get

 

1 m = (1/1000) km

 

 

v = [(12/1000) km] / [(1/3600) hr]

 

v = [(12*3600)/1000] km/hr

 

v = 216/5  km/hr

 

 

The distance in 4 hours is

 

d = [(216/5) km/hr] * 4hr

 

d = 864.50 km

This is why your answer should be 12 m/s

Hope this helps!! - Queenb369

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Nara got two new plants for her apartment. Each plant grew at a constant rate.
stira [4]

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster?  B. The second plant

Step-by-step explanation:

Slope of the first plant :

m = (y2 - y1)/(x2- x1)

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

7 0
3 years ago
Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she get
Nady [450]
There are 7 chairs in each row length.
Step-by-step explanation:
Let number of chairs in 1 row be 'x'.
Let total number of chairs be 'y'.
Given:
Hue can form 6 rows of a given length with 3 chairs left over.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.
Framing in equation form we get.

Also Given:
Hue can form 8 rows of that same length if she gets 11 more chairs.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.
Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.
So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.
8 0
3 years ago
Order of operations 8x18/4+15
sweet-ann [11.9K]

Answer:

8×18=144

4±15=19

144÷19

7.579 answer

6 0
2 years ago
Neil drives at an average speed of 60 miles/hour to reach his destination 480 miles away. On the way back, he decides to increas
daser333 [38]

Answer:

  480/(x+60) ≤ 7

Step-by-step explanation:

We can use the relations ...

  time = distance/speed

  distance = speed×time

  speed = distance/time

to write the required inequality any of several ways.

Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...

  480/(60+x) ≤ 7

Multiplying this by the denominator gives us a distance inequality:

  7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours

Or, we can write an inequality for the increase in speed directly:

  480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour

___

Any of the above inequalities will give the desired value of x.

4 0
3 years ago
What is the degree of the polynomial?
DIA [1.3K]

Answer:

2

Step-by-step explanation:

The degree of the polynomial is the highest exponent of an expression. When more than one variable is present, its is the sum of exponents on one term in the expression.

The polynomial has terms xy, 3x^2, -7 and x. The term with the highest exponent sum is xy or 3x^2. Both have degree 2. The degree of the polynomial is 2.

8 0
3 years ago
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