Answer:
$2.75 = cost of a hot dog
$4.50 = cost of a cheeseburger
Step-by-step explanation:
Let x = cost of a hot dog
y = cost of a cheeseburger
(1) 2x + 4y = 23.5 (2) 5x + y = 18.25
y = 18.25 - 5x
2x +4(18.25 - 5x) = 23.5
2x + 73 - 20x = 23.5
-18x + 73 = 23.5
-18x = -49.5
x = 2.75 y = 18.25 - 5(2.75)
y = 18.25 - 13.75
y = 4.50
$2.75 = cost of a hot dog
$4.50 = cost of a cheeseburger
First of all, expand the left hand side:
Sum like terms:
Add 3 to both sides:
Subtract 3x from both sides:
So this is the solution. Every number smaller than 8 (excluded) is part of the solution of this inequality.
Answer:
the ans:
Step-by-step explanation:
The percentage increase in the perimeter of the rectangle is 6.67 %.
Percentage :
A percentage is a number or ratio that can be expressed as a fraction of 100.
The length of the rectangle is increased by 10% ,
10%
If initial length of rectangle is 10 then new length of rectangle will be 11 unit.
5 %
If initial width of rectangle is 20 then new width of rectangle will be 21 unit.
Initial perimeter
New perimeter
the percentage increase in the perimeter of the rectangle is,
Answer:shirt = $22.5
skirt= $8.75
Step-by-step explanation:
Let shirt be x and skirt be y
4x + 9y = 168.75--------1
3x + 12y = 172.5---------2
Using elimination method
Multiply eqn 1 by 3 and eqn 2 by 4
12x + 27y= 506.25
12x + 48y = 690
Subtracting
-21y = -183.75
y = $8.75
Put in eqn 1
4x + 9×8.75 = 168.75
4x = 168.75 - 78.75
4x = 90
x = $22.5
