1) If the hats cost $12.50 each and the materials cost $5.50, then the fashion designer makes ($12.50 - $5.50 =) $7 per hat. So, to work out how many hats you must make, you need to divide how much you spend on advertising by how much you make per hat so, $1,400 ÷ $7 = 200 hats.
$12.50 - $5.50 = $7
$1,400 ÷ $7 = 200 hats
and your variable and equation is:
y = number of hats needed to sell
advertising = earnings of 1 hat x number of hats
1,400 = 7y
1,400÷7 = y
200 = y
∴ The fashion designer must make and sell 200 hats to break even and get back her $1,400 spent on advertising.
2) So, you do the same on this one as well. If he makes $2 per book, and binding and packaging cost $0.80, then you need to $2 - $0.80 to find how much each book will make you, the answer is $1.20 per book. Then you need to $864 ÷ $1.20 which equals 720 books.
$2 - $0.80 = $1.20
$864 ÷ $1.20 = 720 books.
and your variable and equation would be:
y = unknown number of books needed to sell
initial costs = earnings of 1 book x number of books
864 = 1.20y
864 ÷ 1.20 = y
720 = y
∴ The puzzle expert must sell 720 books to break even and earn back his initial costs of $864.
** I hope that's what you meant (putting it in an algebraic equation) and I hope is correct **
Answer:
none of the above
Step-by-step explanation:
I think you spamed the keyboard
Good morning Sonny
y-4x=7
2y+4x=2
We need to solve -4x+y=7 for y
Now let's start by adding 4x to both sides
-4x+y+4x=7+4x
y=4x+7
Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x
4x+2y=2
4x+2(4x+7)=2
12x+14=2
Add -14 to both sides
12x=14-14=2-14
12x=-12
Now divide 12 to both sides so we can find x
12x/12=-12/12
x=-1
Now we need to find the value for y by substitute -1 for x in y=4x+7
y=4x+7
y=(4)(-1)+7
y=3
Work done ;)
Answer : x=-1 and y=3
(-1,3)
D
I hope that's help :0
2/10 or 1/5 Hope this helps