4^2 ÷ (3 + 1)
= (4×4) ÷ (4)
= 4×(4÷4)
= 4×1
= 4
To understand the algebra, go through the following equations below:
- First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 &
, stage 2 = 2 &
, stage 3 = 3 & 
- Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 +
= 30, Stage 12: 12 +
= 156
Part B
- First equation : y =
+ n
- second equation: y = n + (n*n)
<h3>Meaning of algebra</h3>
Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )
Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.
In conclusion, the above are the solution to the questions on the attached image.
Learn more about algebra: brainly.com/question/22399890
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Answer:

Step-by-step explanation:
Given,
Length of a rectangle = 20 inches
Perimeter of a rectangle = 64 inches
Area of a rectangle = ?
Let width of a rectangle be ' w ' .
<u>Fi</u><u>rst</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangle</u>

plug the values
⇒
Distribute 2 through the parentheses
⇒
Swap the sides of the equation
⇒
Move 2w to right hand side and change it's sign
⇒
Subtract 40 from 64
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
Width of a rectangle ( w ) = 12 inches
<u>Now</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of </u><u>a</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>0</u><u> </u><u>inches</u><u> </u><u>and </u><u>width </u><u>of</u><u> </u><u>1</u><u>2</u><u> </u><u>inches</u>

plug the values
⇒
Multiply the numbers : 20 and 12
⇒
Hence, Area of a rectangle = 240 inches²
Hope I helped !
Best regards!
Answer:
495-75=m m=420
Step-by-step explanation:
He needs to save 495 dollars, and hes already saved 75
and needs to find out how much more he needs to save to have 495 dollars
To do this, take 495 and subtract 75. This is how we get the inequality
495-75=m
From here it is simple, just subtract 75 from 495 to get 420