Test the following numbers for divisibility by 3, 5, 6 and 11. (Do not divide or factorise.) a) 68 979

Answers

Answer 1

Answer:

Final answer:

The number 68,979 is divisible by 3 but not by 5, 6, or 11.

Explanation:

To test a number for divisibility by 3, we sum up its individual digits. If the sum is divisible by 3, then the number itself is divisible by 3. For the number 68,979, the sum of its digits is 6 + 8 + 9 + 7 + 9 = 39. Since 39 is divisible by 3, 68,979 is also divisible by 3.

To test a number for divisibility by 5, we simply check if the last digit is either 0 or 5. In the number 68,979, the last digit is 9, which is neither 0 nor 5. Therefore, 68,979 is not divisible by 5.

To test a number for divisibility by 6, we need to check if it is divisible by both 2 and 3. From the previous tests, we already know that 68,979 is divisible by 3, so we now need to check if it is divisible by 2. Since the last digit is 9, which is an odd number, 68,979 is not divisible by 2, and therefore not divisible by 6.

To test a number for divisibility by 11, we take the alternating sum of its digits. In this case, we have 6 - 8 + 9 - 7 + 9 = 9. Since 9 is not divisible by 11, 68,979 is not divisible by 11.

Learn more about divisibility here:

brainly.com/question/34253396

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An investor buys Rs.1200 worth of share in company first 5 monnths he bought the share at price of Rs.10,12,15,20 and 24 per share. After 5 months what is the average price paid for the share by him.

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change as −4 1/2 ounces. She noticed that he had lost the same amount of weight each week. What is Herman's weight change each week of the diet? Enter your answer in the box.

Answers

Answer: -1 1/8

Step-by-step explanation: When you have a problem like this, you have to divide.

So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.

-103

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

Can someone show me how to graph this?

Answers

Answer:

Step-by-step explanation:

Hello,

This is the equation of a line so if you know two points of the line you can graph it, right?

For x = 0 y = -3 so the point A (0,-3) is on the graph

For x = 3 y =-4 so the point B (3,-4) is on the graph

And then you can draw the line as below

Thanks

The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?a. Ax+By=c

b. y-y1=m(x-x1)

c. y1=mx1+b

d. Ax1+by1=C

e. y=mx+b

f. y1-y=m(x-x1)

Please explain why, if you can. Thanks! :)

Answers

The equation of the line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

Option b.

-----------------------------------------

The equation of a line, in point-slope form, is given by:

$y - y_1 = m(x - x_1)$

In which

m is the slope.
The point is $(x_1,y_1)$ .
Nonvertical line means that $m \neq 0$
Thus, the correct option is given by option b.

A similar problem is given at brainly.com/question/24144915

Answer:

b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

slope-intercept form: y = mx + b
point-slope form: y -y1 = m(x -x1)
two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
intercept form: x/a +y/b = 1
standard form: ax +by = c
general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

ind the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Step by Step Explanation:
First find the area of the circle
Area = πr^2
=3.14 x 16
50.24 cm^2
But here we need the area of the semicircle
so 50.24/2 = 25.12 cm^2

Now we find the area of the triangle
Area = 1/2bh
= 1/2 x 8 x 4
16 cm^2

The area of the shaded region = 25.12-16
= 9.12 cm^2

Hope this helps you!

What are the integers of 171

Answers

Answer:

56, 57, and 58.

Step-by-step explanation:

9. What is the value
of the expression?
21.3 + (-34.87)

Answers

Answer:

-13.57

Step-by-step explanation:

21.3 + (-34.87) = -13.57

Mark me as brainliest if you want to.

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