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2 years ago

What is the smallest number which when decreased by 8 is divisible by 21, 27, 33, and 55?.

Mathematics

1 answer:

evablogger [386]2 years ago

8 0

The required number which when decreased by 8 is divisible by 21, 27, 33, and 55 is 10403.

We need to find the smallest number which when decreased by 8 is divisible by 21, 27, 33, and 55.

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

We find the LCM of 21, 27, 33, and 55.

3 | 21 27 33 55

3 | 7 9 11 55

3 | 7 3 11 55

7 | 7 1 11 55

5 | 1 1 11 55

11 | 1 1 11 11

| 1 1 1 1

When decreased by 8, we have to add 8 in the LCM of the numbers.

That is 10395+8=10403

Therefore, the required number when decreased by 8 is divisible by 21, 27, 33, and 55 is 10403.

To learn more about the LCM of numbers visit:

brainly.com/question/10942748.

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Wes measures the floor area of rectangular living room to replace the carpet with tiles. The length of the room is 2.6 feet grea

Oliga [24]

Answer:

Wes need 121.52 square feet of tile.

Step-by-step explanation:

Given:

Wes measures the floor area of rectangular living room to replace the carpet with tiles

The length of the room is 2.6 feet greater than the width.

The width of the room is 9.8 feet.

Now, to find the square feet of tiles Will Wes need.

Width = 9.8 feet.

Length = 2.6 feet + 9.8 feet = 12.4 feet.

So, to get the square feet of tile we get the area of the room:

$Area = length\times width$

$Area=12.4\times 9.8$

$Area=121.52\ square\ feet.$

Therefore, Wes need 121.52 square feet of tile.

3 0

3 years ago

Find the slope of the line whose equation is 7x - 2y = 4. 7/2 -2 4/7

Nookie1986 [14]

To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.

5 0

3 years ago

Question Progress<br> Homework Progres<br> Solve the inequality 5x – 7 > 4x + 8

Elenna [48]

Answer:

x > 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

5x - 7 > 4x + 8

<u>Step 2: Solve for </u><em><u>x</u></em>

Subtract 4x on both sides: x - 7 > 8
Add 7 on both sides: x > 15

Here we see that any value <em>x</em> that is greater than 15 would work as a solution to this inequality.

7 0

3 years ago

C) 0.2(x + 5) + 1 = 7

swat32

Answer:

x = 25

Step-by-step explanation:

Given

0.2(x + 5) + 1 = 7 ( subtract 1 from both sides )

0.2(x + 5) = 6 ( divide both sides by 0.2 )

x + 5 = 30 ( subtract 5 from both sides )

x = 25

4 0

4 years ago

Read 2 more answers

System A

Sonbull [250]

1. System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

<h3>How to prove the statements</h3>

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

brainly.com/question/4074386

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4 0

2 years ago