4 square feet is equivalent to how many square yards?

ivann1987 [24]

1 Simplify — 2 Equation at the end of step 1 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 2 : 3 Simplify —— 10 Equation at the end of step 2 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 3 : 2 Simplify — 5 Equation at the end of step 3 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 4 :Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

 The left denominator is : 5 

 The right denominator is : 10

Number of times each prime factor
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 51112011 Product of all
Prime Factors 51010

Least Common Multiple:
10

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

 Denote the Least Common Multiple by L.C.M
 Denote the Left Multiplier by Left_M
 Denote the Right Multiplier by Right_M
 Denote the Left Deniminator by L_Deno
 Denote the Right Multiplier by R_Deno

 Left_M = L.C.M / L_Deno = 2

 Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 2x • 2 —————————————————— = —————— L.C.M 10 R. Mult. • R. Num. 3 —————————————————— = —— L.C.M 10 Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x • 2 - (3) 4x - 3 ———————————— = —————— 10 10 Equation at the end of step 4 : (4x - 3) 1 ———————— - — = 0 10 2 Step 5 :Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

 The left denominator is : 10 

 The right denominator is : 2

Number of times each prime factor
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 21115101 Product of all
Prime Factors 10210

Least Common Multiple:
10

Calculating Multipliers :

5.2 Calculate multipliers for the two fractions

 Denote the Least Common Multiple by L.C.M
 Denote the Left Multiplier by Left_M
 Denote the Right Multiplier by Right_M
 Denote the Left Deniminator by L_Deno
 Denote the Right Multiplier by R_Deno

 Left_M = L.C.M / L_Deno = 1

 Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

5.3 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. (4x-3) —————————————————— = —————— L.C.M 10 R. Mult. • R. Num. 5 —————————————————— = —— L.C.M 10 Adding fractions that have a common denominator :

5.4 Adding up the two equivalent fractions

(4x-3) - (5) 4x - 8 ———————————— = —————— 10 10 Step 6 :Pulling out like terms :

6.1 Pull out like factors :

4x - 8 = 4 • (x - 2)

Equation at the end of step 6 : 4 • (x - 2) ——————————— = 0 10 Step 7 :When a fraction equals zero : 7.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(x-2) ——————— • 10 = 0 • 10 10

Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
4 • (x-2) = 0

Equations which are never true :

7.2 Solve : 4 = 0

This equation has no solution.
 A a non-zero constant never equals zero.

Solving a Single Variable Equation :

7.3 Solve : x-2 = 0

Add 2 to both sides of the equation :
 x = 2

One solution was found : x = 2

4 0

3 years ago

[{78 + (-13)} -8] · (-10) + 10

OlgaM077 [116]

Answer:

5210

Step-by-step explanation:

You start with everything in parentheses so it is 78+ (-13) first. then you multiply it by -8 after multiply again but by (-10) then add 10.

5 0

3 years ago

Please help! Which is the solution set of the following inequality?

Ira Lisetskai [31]

Answer:

x<3

Step-by-step explanation:

3x - 4 < 17 - 4x

So, the -4 shall cross to the other side and replace the -4x which will now take the place of where the -4 used to be and the signs of both digits will change to a positive (+)

Remember the inequality sign (<) shall not change

so now the equation shall appear like this;

3x + 4x < 17 + 4

add both sides and it will appear like this;

7x < 21

simplify both sides by 7 and you'll get

x < 3

5 0

2 years ago

I need help. Like just help please lol I don’t understand this and I’m dumb :) thanks

yulyashka [42]

Answer:

C

Step-by-step explanation:

The formula for the volume of a cylinder is $\pi r^2 h$ , since you are multiplying the area of the base (a circle) by the height of the cylinder to find the volume. Therefore, the volume of this cylinder is:

$\pi r^2 h= \\\\3.14 \cdot 8^2 \cdot 15=\\\\3.14 \cdot 960=\\\\3014.4$

Hope this helps!

3 0

3 years ago

Read 2 more answers

Richard and Teo have a combined age of 37. Richard is 4 years older than twice Teo's age. How old are Richard and Teo?

valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

First set up the equations:

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

Then, solve the equations:

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0

4 years ago