MATHEMATICS HIGH SCHOOL

A car travels 2500 meters then stops. It turns left and travels 3000 meters; the car does this is 200 seconds. What was the average speed of the car?​

Answers

Answer 1
Answer:

Answer:

27.5 m/s

Step-by-step explanation:

Average speed = distance / time

s = (2500 m + 3000 m) / (200 s)

s = 27.5 m/s

Note that average speed is different than the average velocity. Average velocity would be displacement over time, rather than distance over time.

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How you solve b-9+6b=30

Answers

b - 9 + 6b = 30

b+ 6b - 9 = 30 

7b - 9 = 30

7b = 39

b = (39)/(7)

Nice days...........
associative property is moving a+b=b+a
add like terms
1b+6b-9=30
7b-9=30
add 9 to both sides
7b=39
divide both sides by 7
b=39/7
39/7=5 and 4/7

X+y=10 , x+z=20 , y+z=24, x+y+z=???
and why??

Answers

+\left\{\begin{array}{ccc}x+y=10\nx+z=20\ny+z=24\end{array}\right\ \ \ \ \ add\ both\ sides\n----------\n2x+2y+2x=54\ \ \ \ |divide\ both\ sides\ by\ 2\n\nx+y+z=27

A ball was kicked into the air from a balcony 20 feet above the ground, and the ball’s height above the ground, in feet, t seconds after the ball was kicked was 2h(t) = 20 − 16t + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked?

Answers

2h(t) = 20 - 16t + 32t

Not only is there something wrong with the way you've written the equation,
there's no way it could be true even after you fix the little mistake.

First let's divide each side by 2 :

h(t) = 10 - 8t + 16t

This is the equation of the height of a ball that starts from 10-ft above the ground, not 20, begins with 8 ft/sec of downward speed as soon as it's kicked, and what to do with that mysterious ' 16t ' at the end ?  Well, if it were ' 16t-squared ', it very well could reflect the acceleration of gravity.

BUT ... since the '10' is positive, we know that the upward direction is the
positive direction for this problem, and then the sign of the acceleration term
can't be positive.  That would mean that the ball is accelerating upward at the
rate of 32 ft/sec every second, and if we just wait a few minutes, that ball is on
its way to the moon !

-- If we accept the equation exactly as it's written in the question, then the ball
is kicked from an initial height of 10-ft, it has an upward speed of +8 ft/sec forever,
it never sinks lower than the initial 10-ft, and it has no maximum height.

-- If we make the last term ' 16t² ', then the ball is kicked from an initial height
of 10-ft, the kicker aims down and gives it an initial speed of 8 ft/sec DOWNward,
but it has an upward acceleration of 32 ft/sec every second, The lowest it ever gets
is 1-ft below the balcony, at exactly 0.25 second after the kick, then begins rising,
faster and faster.  In this case also, the ball is headed for the moon, and has no
maximum height.

The question needs some serious work.

Im so confused, how do i get the variance with just the standard deviation

Answers

Answer:

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

hope this helps!

A hallway measuring 90 feet x 7 feet requires 1/2 a fluid oz of cleaning solution per sq ft. How much cleaning solution is needed to clean the hallway?

Answers

You want area of the floor to know how many square feet you have 90x7=630 630sq. ft of floor and it takes 1/2 an oz to clean one of them 630(1/2)=315oz

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?.

Answers

Inequality that represents the lengths of the glass:
12 cm <  x  ≤ 12.2 cm

Answer:

12<x≤12.2

Step-by-step explanation:

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

The length of frame is x cm.

Length of frame must be longer than 12 cm.

Inequality,  x>12

Length of frame not longer than 12.2 cm

In equality, x≤12.2

Now we make compound inequality of question

"Length of frame, x must be longer than 12 cm and not longer than 12.2 cm"

Inequality: 12<x≤12.2

Length of glass fit in the frame, 12<x≤12.2

Hence, The inequality 12<x≤12.2
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