Answer:
The solution is:
$160 for booth + $16 needles = $176 as capital
$15 price to sell each scarf - $4 cost of the yarn to make
the scarf = $11 as profit
$176 / $11 = 16
The students must sell 16 pieces of scarves to get the
break even point of $176 for the capital
Answer:
X=6
Step-by-step explanation:
Answer: Each screensaver costs $2 and each Otterbox costs $7.
Step-by-step explanation:
Let x = Cost of each screensaver and y = cost of each Otterbox.
As per given, 4x+3y=29 (i)
6x +2y = 26 (ii)
Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get
9x+3y=39 (iii)
Eliminate (i) from (iii) , we get
5x = 10
⇒ x = 2 [Divide both sides by 5]
Put value of x in (i), we get
4(2)+3y=29
⇒ 8+3y= 29
⇒ 3y= 21
⇒ y =7 [Divide both sides by 7]
Hence, Each screensaver costs $2 and each Otterbox costs $7.
Answer:
(3x^2+21x+33) / (x+5)
You can use long division:
(3x^2+21x+33)
--------------------
(x+5)
=3x+6+ 3/x+5
Step-by-step explanation:
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft