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padilas [110]
2 years ago
11

How many integers between 100 and 1000 have both 15 and 18 as factors?

Mathematics
1 answer:
Zanzabum2 years ago
4 0

The numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

<h3>What is an integer?</h3>

it is defined as the whole number it can be a negative whole number or a positive whole number for an example: 2, 4, 1, -8, 0, etc.

To find the how many integers between 100 and 1000 have both 15 and 18 as factors.

We must calculate the LCM of 15 and 18

The LCM for 15 and 18 is 90

Now the 90's multiple:

90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 1080

These numbers are factors of 15 and 18 also.

The number which lies between 100 and 1000 are:

180, 270, 360, 450, 540, 630, 720, 810, 900

Thus, the numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

Learn more about the integers here:

here:brainly.com/question/15276410

#SPJ1

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A linear equation is represented as: y = mx + b.

The equation of the line is: y =3x - 14

First, we calculate the slope (m) of 6x + 18y = 11

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Divide by 18

y = -\frac{1}{3}x + \frac{11}{18}

In y = mx + b

m \to slope

So, the slope of y = -\frac{1}{3}x + \frac{11}{18} is:

m = -\frac 13

Since, the line is perpendicular to 6x + 18y = 11

The slope of the line is:

m_1 = -\frac{1}{m}

So, we have:

m_1 = -\frac{1}{-1/3}

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The line passes through (4,-2).

So, the equation is:

y =m(x - x_1) + y_1

This gives:

y =3(x - 4) -2

y =3x - 12 -2

y =3x - 14

Hence, the linear equation is:

y =3x - 14

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3 years ago
The units for the lines of longitude are measured in.
Sladkaya [172]
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2 years ago
Which set of ordered pairs is not a direct variation?
Nina [5.8K]

Answer:

The first option is not a direct variation

Step-by-step explanation:

When we talk of a direct variation, as one value increases, the other value increases too

Or as one value decreases, the other value decreases

A direct variation is of the form;

y = kx

k = y/x

where k is the coefficient of variation that must be a constant value all through the set of values

The values we are comparing here are the x and y values

So

let us take a look at the options;

The first option is not a direct variation

For the first option, the rate of increase is not constant;

2/6 = 1/3 , 8/12 = 2/3 , 14/18 = 7/9

for the second;

the ratio is 1 to 1

for the third;

3/6 = 1/2 ; 6/12 = 1/2; 9/18 = 1/2

for the fourth;

2/6 = 1/3, 4/12 = 1/3 , 6/18 = 1/3

8 0
3 years ago
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
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(5x10^7)(6x10^4) in scientific notation
Ratling [72]

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Step-by-step explanation:

5 0
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