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Sunny_sXe [5.5K]
3 years ago
12

your teacher oftentimes ridess a bicycle. one day, he biked 500 meters from his house to his distination for only 500 s. what wa

s your teacher's average velocity
Mathematics
2 answers:
aliina [53]3 years ago
6 0
It would be 1 meter per second or 60 meters per minute. It depends on which one you want. I hope this helps you.
Anni [7]3 years ago
3 0
In this question there are all the required information's. Using those information's the answer to the question can be easily found. It is given that the teacher travels for 500 meters within a time of 500 seconds. Now we have to find the average velocity at which the teacher covered the distance.
We already know that
Average Velocity = Distance traveled/ Time taken
Now we can put all the given information's in this equation and get the required answer.
Average Velocity = 500/500 meter/second
                           = 1 m/s
So the teacher travels at an average velocity of 1m/s.
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A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

4 0
3 years ago
7. The points P(2, -3), Q(3, -2) and R(8, z) are
Hatshy [7]

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = \frac{-2+3}{3-2} = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = \frac{z+2}{8-3} = \frac{z+2}{5} , then

\frac{z+2}{5} = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

4 0
2 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a ra
pychu [463]
Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of 
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions

Answer:
The smaller gear makes 1.75 rotations

7 0
3 years ago
Which expression is modeled by this se of arrows in the number line
Bond [772]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Keirra’s mother gave her $7.50 to buy 8 spiral notebooks. With tax, the cost of each notebook is $1.05. Does Keirra have enough
GuDViN [60]

Answer:

No

Step-by-step explanation:

each notebook is $1.05 and the is $7.50

there is only enough for seven notebooks not eight.

7 0
3 years ago
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