Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: (
0
,
0
)
x
y
0
0
1
1
So the equaiton is
number of nickes=n
number of quarters=q
if you have 1 quarter then you have 25 cents so we will represent like this
25q
and nickles is 5n
14.50=1450 cents
so
25q+5n=1480
q+n=88
subtract q from both sides
n=88-q
subsitute into first equation
25q+5(88-q)=1480
25q+440-5q=1480
add like terms
20q+440=1480
subtract 440 from both sides
20q=1040
divide both sdies by 20
q=52
there were 52 quarters
25(52)+5n=1480
1300+5n=1480
subtract 1300 from both sides
5n=180
divide both sides by 5
n=36
there were 36 nickels
nickles=36
quarters=52
As you haven't specifically stated what exactly the question is, I will be assuming that the question is most likely asking for what the dimensions ( length and width ) of the rectangle is. With this in mind, I will be answering the question so here I go...
STEP-BY-STEP SOLUTION:
Let's solve this problem step-by-step.
Let's first establish the formula for the area of a rectangle as displayed below:
Area = Length × Width
A = lw
From this, we will establish the values for each of the parts in the area formula using the information given in the problem as displayed below:
A = 72cm^2
l = w + 6
w = w
Now, we will substitute these values into the area formula and then make ( w ) the subject as displayed below:
A = lw
72 = ( w + 6 ) ( w )
72 = w ( w + 6 )
72 = w^2 + 6w
0 = w^2 + 6w - 72
0 = w^2 + 12w - 6w - 72
0 = w ( w + 12 ) - 6 ( w + 12 )
0 = ( w + 12 ) ( w - 6 )
w + 12 = 0
w = 0 - 12
w = - 12
w - 6 = 0
w = 0 + 6
w = 6
As the answer must be positive as measurements are always positive, the answer must be the option which is a positive number.
Therefore:
w = 6
Using the equation we made for the length before, we can substitute the value of ( w ) to obtain the value of the length as displayed below:
l = w + 6
l = ( 6 ) + 6
l = 12
FINAL ANSWER:
The dimensions of the rectangle are:
Length = 12cm
Width = 6cm
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Thank you <3
Answer:
105
Step-by-step explanation:
The Area of rectangle = 80 unit².
<h3>What is Area of rectangle?</h3>
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
from figure (a)
DE= 40/8 = 5
BC= 100/5 = 20
Now,
AC= AB + BC= 8+ 20 = 28
CE= CD + DE = 10+5= 15
So, area of rectangle
= AC* CE
= 28* 15
= 420
Now, from figure (b)
CD= 24/12= 2
DE= 12/4 = 3
AC= AB+ BC= 14+ 4= 16
CE= CD + DE= 2+3 = 5
So, Area of rectangle= 16*5 = 80 unit²
Learn more about area of rectangle here:
brainly.com/question/237997
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