Answer:
5/3 = z
Step-by-step explanation:
You can use proportions to figure this out.
Imma solve this as I work through it.
So
4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.
Lemme clean this up for ya
The butterfly method involves multiplying in a cross format on both sides, so the
4 12
__ = ______
z 5
becomes 4 times 5, and z times 12.
4 times 5 is 20, and z times 12 is 12z
so you now have 20 = 12z
Lets simplify the equation by dividing by 4s
20 divided by 4 is 5 and 12z divided by 4 is 3z
so
5 = 3z
You can divide again
by dividing both sides
by
3
to get the unit rate of z.
It will be a fraction though
and it won't look pretty
but here it is:
5
__ = z
3
So
It is
5/3
Hope this helps
and hope you get a laugh out of this
yeeha
(2y +1)(4y + 1) is the factored form
C. (3x+1)(3x-2) 3x times 3x= 9x^2 and 3x times -1= -3x
2 times 3x= 6x and 2 times -1= -2
9x^2- 3x+6x-2
9x^2+3x-2
Hope I explain this more clearly for you.
4x-4>20
Step 1: Add four to both sides
4x-4+4>20+4
4x>24
Step 2: Divide both sides by 4
4x divided by 4 and 24 divided by 4
Answer: x>6
Kahal accidentally subtracted instead of adding. He made a mistake in step 2.
Answer:
Let the cost of each popcorn bag be x and cost of each drink be y
Cost of 9 bags of Popcorn= 9 x
Cost of 8 drinks be = 8 y
Total money spent by Makayla = $ 49
According to Question
9 x + 8 y= 49..................... equation (1)
Similarly , cost of 3 popcorn = 3 x
Cost of 3 drinks= 3 y
Total money spent by Caroline= $ 17.25
According to Question
3 x+ 3 y= $ 17.25...................equation(2)
We can solve above equation by using elimination method
Multiply equation (2) by 3
9 x + 9 y = 51.75..................equation(3)
9 x + 8 y= 49..................... equation (1)
Subtraction equation (1 ) from equation(3)
y = 2.75
put value of y in any equation (2)
we get
3 x + 3 × 2.75 = 17.25
3 x + 8.25 = 17.25
3 x = 17.25 - 8.25
3 x = 9
x = 3
Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)
