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The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)
----------------(from equation 1)
----------------(given p=58 inches)
----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.
as, -----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.
The answer is right below:
Answer:
Let x represents the number of pants and y represents the number of shirts.
As per the statement:
Since, a clothing store are selling pants for $8.99 and shirts for $3.99
then;
total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99
Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.
then, we have the equation of inequality;
;......[1] where x, y are natural number.
x-intercept:
Substitute the value y= 0 in [1] and solve for x;
Simplify:
Since, x is in natural number;
Similarly.
For y-intercept:
Substitute the value x= 0 in [1] and solve for x;
Simplify:
Therefore, we have
;
and