The area of a square is 25 cm squared. What is the length of one side of the square?
1 answer:
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The answer is: " 11 " .
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→ " x = 11 " .
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Explanation:
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Set up the ratio/ proportion as a fraction:
6 cm / 48 cm = 5 cm / (3x + 7) ;
→ The "cm" units cancel out; since: "cm/cm = 1 " ;
→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;
→ Rewrite as:
;
Now, we can "cross-multiply" :
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<u>Note</u>:
; 
;
{b
; d } .
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As such:
1 * (3x + 7) = 8 * 5 ;
→ 3x + 7 = 40 ;
Subtract "7" from each side of the equation:
→ 3x + 7 − 7 = 40 <span>− 7 ;
</span>
to get:
→ 3x = 33 ;
Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 33 / 3 ;
to get:
____________________________________________________
→ " x = 11 " .
____________________________________________________
→ The answer is: " 11 " .
____________________________________________________
____________________________________________________
→ " x = 11 " .
____________________________________________________
Explanation:
____________________________________________________
Set up the ratio/ proportion as a fraction:
6 cm / 48 cm = 5 cm / (3x + 7) ;
→ The "cm" units cancel out; since: "cm/cm = 1 " ;
→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;
→ Rewrite as:
Now, we can "cross-multiply" :
__________________________________________________
<u>Note</u>:
{b
__________________________________________________
As such:
1 * (3x + 7) = 8 * 5 ;
→ 3x + 7 = 40 ;
Subtract "7" from each side of the equation:
→ 3x + 7 − 7 = 40 <span>− 7 ;
</span>
to get:
→ 3x = 33 ;
Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 33 / 3 ;
to get:
____________________________________________________
→ " x = 11 " .
____________________________________________________
→ The answer is: " 11 " .
____________________________________________________
Answer:
41.5
Step-by-step explanation:
So you see the first five lines are for 19 dollars.
Multiply 7.75 by 3 since there are 3 additional lines. (Answer: 23.25)
Add 19 and 23.25 together. (Answer: 42.25)
My calculator work will be posted below for reference.
Unit Name: Two-Step Equations
<h2><u><em>If you need any more help or explanation, follow up in the comments below! :P</em></u></h2>