what is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

Answers

Answer 1
Answer:

Answer:

Number must be added = 160

Step-by-step explanation:

First we need to find LCM of 10,12,16 and 18.

LCM of 10,12,16 and 18 = 720

Let us write the multiplication table of 720

      720, 1440, 2160, 2880 .................

We need to find the least number that must be added to 2000 so that the sum is divided exactly by 10,12,16 and 18 .

The number greater than 2000 is 2160.

Difference = 2160 - 2000 = 160

Number must be added = 160

Answer 2
Answer: 10 = 2.5  ; 12 = 2².3 ; 126 = 2^4 ; 18 = 2.3²
the least common multiple is 2^4.5.3 = 240
then we have (2000 + x) = 240.k
2000 = 240.8 + 80 and 240.9 = 2160
then x = 160 

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Two rectangles have an area of 81 square inches. Name one possible perimeter for each rectangle. I need to show the problem please.

Answers

you would have to find to factors of 81 which could be 9 and 9.And since a rectangle is a square, the rest of the sides would be the same.Therefore, a possible perimeter is 9 times 4,which is 36.
answer:36

The equation of a line a is given by 3y=x+12- Find line b that is parallel to line a and passes through the point (6, -8)

Answers

Answer is x-3y=-12. Get Photomath it’s app

Solve.

1/4 * 5/4 divided by 10/3

Answers

Answer of the above question is 15/160

IGNORE WORK ON PAPER PLS HELP3. A game at an arcade consists of a balloon that is inflated little-by-little during each round of play. The player wins. when the balloon pops. The amount of air (in cubic inches) that is needed to make the balloon pop can be modeled by a uniform distribution on the interval from 25 to 35 cubic inches of air.

(a) Draw a density curve to model the amount of air that is needed to make the balloon pop. Be sure to include scales on both axes.

(b) About what percent of the time will the balloon pop upon receiving at most 28 cubic inches of air?

(c) Find the first quartile (Q1) of this distribution.


4. The manager of the arcade wants to know how quickly players switch from one game to another. After conducting a
study, he concludes that the amount of time that people spend playing a game before switching to a different game can be modeled by a normal distribution with mean 2.1 minutes and standard deviation 0.4 minutes.
Sketch the normal density curve. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean.

Answers

(a) To draw a density curve for the uniform distribution on the interval from 25 to 35 cubic inches of air, you can use a horizontal line segment that represents a constant density over that interval. The density should be 1 divided by the width of the interval, which is 35 - 25 = 10 cubic inches. Here's how you can represent it graphically

One centimeter = ________ millimeters.
A) 10
B) 0.10
C) 100
D) 0.01

Answers

Final Answer:

A) One centimeter = 10millimeters.

Explanation:

One centimeter is equal to 10 millimeters. This can be determined by using the conversion factor of 1 centimeter = 10 millimeters. To convert centimeters to millimeters, you simply multiply the value in centimeters by the conversion factor.

For example, if you have 5 centimeters, you can convert it to millimeters by multiplying 5 by 10, which equals 50 millimeters. Similarly, if you have 2 centimeters, you would multiply 2 by 10 to get 20 millimeters.

The conversion from centimeters to millimeters is straightforward and involves a simple multiplication by 10. This is because there are 10 millimeters in 1 centimeter. So, each centimeter is equivalent to 10 millimeters.

So,One centimeter = 10 millimeters.Therefore,the correct option is A.

In summary, the conversion from centimeters to millimeters is achieved by multiplying the value in centimeters by the conversion factor of 10. This results in the final answer of one centimeter being equal to 10 millimeters.

Learn more about centimeters
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Answer:

One centimeter = 10 millimeters.

The correct answer is A.

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians