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3 years ago

9

Find the area of a square with side length when x is equal to the given value x. Are the area of a square and the length of its

side directly proportional? x=3 in

2 answers:

scoray [572]3 years ago

6 0

Answer:

prob (yes) because a since a square has all equal sides then prob 3

Step-by-step explanation:

Juli2301 [7.4K]3 years ago

5 0

The answer is yes. A square has all equal sides.

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Two thirds of a number decreased by six is two. what is the number?

Kisachek [45]

Answer: The number is:  " 12 ".

____________________________________
Let "x" represent "the unknown number" (for which we wish to solve.

The expression:

$\frac{2}{3}$ x <span>− 6 = 2 ; Solve for "x" ;
</span>_______________________________________________
Method 1)

Add "6" to EACH SIDE of the equation;
_______________________________________________
→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:

→ $\frac{2}{3}$ x = 8 ;
______________________________________________
Multiply each side of the equation by " $\frac{3}{2}$ " ; to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________
→ $\frac{3}{2}$ * $\frac{2}{3}$ x = 8 * $\frac{3}{2}$ ;

→ x = 8 * $\frac{3}{2}$ ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;

= $\frac{8*3}{1*2}$ ;

= $\frac{24}{2}$ ;

= <span>1<span>2 .</span></span>
______________________________________________
x = 12 .
______________________________________________
Method 2)
______________________________________________
$\frac{2}{3}$ x − 6 = 2 ; Solve for "x" ;

Add "6" to EACH SIDE of the equation;
_______________________________________________
→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:
→ $\frac{2}{3}$ x = 8 ;
______________________________________________
Multiply each side of the equation by "3" ; to get rid of the "fraction" ;
    → 3 * $\frac{2}{3}$ x = 8 * 3 ;
→ $\frac{3}{1}$ * $\frac{2}{3}$ x = 8 * 3 ;
→ $\frac{3*2}{1*3}$ x = 8 * 3
→ $\frac{6}{3}$ x = 24 ;

→ 2x = 24 ;

→ Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :

2x / 2 = 24 / 2 ;

x = 12 .
__________________________________________________
Method 3).
__________________________________________________
$\frac{2}{3}$ x − 6 = 2 ; Solve for "x" ;
_______________________________________________
Add "6" to EACH SIDE of the equation;
_______________________________________________
→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:

→ $\frac{2}{3}$ x = 8 ;
______________________________________________
Now, divide each side of the equation by " $\frac{2}{3}$ " ;
to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________________
{ $\frac{2}{3}$ x } / { $\frac{2}{3}$ } = 8 / { $\frac{2}{3}$ } ;

to get: x =  8 / { $\frac{2}{3}$ } ;

= 8 * ( $\frac{3}{2}$ ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;

= $\frac{8*3}{1*2}$ ;

= $\frac{24}{2}$ ;

= 12 ;
___________________________________________
x = 12 .
___________________________________________
NOTE: Variant: (in "Methods 2 & 3") :
___________________________________________
At the point where:
___________________________________________
= 8 * ( $\frac{3}{2}$ ) ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;
__________________________________________
We can cancel out the "2" to a "1" ; and we can cancel out the "8" to a "4" ;
__________________________________________
{since: "8÷2 = 4" ; and since: "2÷2 =1" } ;
__________________________________________
and we can rewrite the expression:
__________________________________________
$\frac{8}{1}$ * $\frac{3}{2}$ ;
__________________________________________
as:    $\frac{4}{1}$ * $\frac{3}{1}$ ;
__________________________________________
which equals:
__________________________________________
→ $\frac{4*3}{1*1}$ ;

=    $\frac{12}{1}$ ;

= 12 .
__________________________________________
x = 12 .
__________________________________________
Answer: The number is: " 12 ".
__________________________________________

8 0

4 years ago

Which correctly renames 7 8 and 5 6 using a common denominator?

Vilka [71]

Answer:

Step-by-step explanation:

7/8 and 5/6......common denominator of 24

7/8 = 21/24

5/6 = 20/24

5 0

3 years ago

In the united state 13 out of every 20 cans are recycled. What percent of can are recycled

lyudmila [28]

Answer:

13%

Step-by-step explanation:

Just turn the amount of cans recycled into a percent

8 0

3 years ago

Cleo sold lemonade at her lemonade stand. On Saturday, she sold 6 pitchers of lemonade. On Sunday, she sold as much lemonade as

mr_godi [17]

Answer:

12 pitchers

Step-by-step explanation:

Saturday, 6 pitchers

Sunday, same number of pitchers with Saturday, = 6 pitchers

Total pitchers = 6 + 6 = 12 pitchers

7 0

4 years ago

Read 2 more answers

-30=5(x+1)−30=5(x+1) proszę szybką odpowiedź :)

den301095 [7]

Answer:

x = -7

Step-by-step explanation:

The given equation is :

-30=5(x+1)

We need to solve the equation.

Use associative property on RHS.

-30 = 5x+5

Subtract 5 from both the sides.

-30-5 = 5x+5-5

-35 = 5x

x = -7

Hence, the value of x is -7.

7 0

3 years ago