X= 10. Should be pretty easy
Making a list helps organize the information in a word problem that can otherwise be overwhelming and confusing. Making lists put out a straightforward guide and help you break down the problem so you really understand what you need to do.
Word problem:
Maya has $55 and she gives her brother $10. She also gives her friend $15 and her sister $5. Her sister pays her back fully but her brother only pays back half of what he owed, promising to pay her back later. Her friend gives back 1/3 of what she owed, also promising to pay her back as soon as she can. How much money does Maya currently have?
In this problem, you have to process the money transactions and making a list will help you go step by step.
Answer:
$68
Step-by-step explanation:
We have been given the demand equation for Turbos as
, where q is the number of buggies the company can sell in a month if the price is $p per buggy.
Let us find revenue function by multiplying price of p units by demand function as:
Revenue function: ![pq=p(-4p+544)](https://tex.z-dn.net/?f=pq%3Dp%28-4p%2B544%29)
![pq=-4p^2+544p](https://tex.z-dn.net/?f=pq%3D-4p%5E2%2B544p)
Since revenue function is a downward opening parabola, so its maximum point will be vertex.
Let us find x-coordinate of vertex using formula
.
![\frac{-b}{2a}=\frac{-544}{2\times -4}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-544%7D%7B2%5Ctimes%20-4%7D)
![\frac{-b}{2a}=\frac{-544}{-8}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-544%7D%7B-8%7D)
![\frac{-b}{2a}=68](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%3D68)
The maximum revenue would be the y-coordinate of vertex.
Let us substitute
in revenue formula.
![pq=-4(68)^2+544(68)](https://tex.z-dn.net/?f=pq%3D-4%2868%29%5E2%2B544%2868%29)
![pq=-4*4624+544(68)](https://tex.z-dn.net/?f=pq%3D-4%2A4624%2B544%2868%29)
![pq=-18496+36992](https://tex.z-dn.net/?f=pq%3D-18496%2B36992)
![pq=18496](https://tex.z-dn.net/?f=pq%3D18496)
Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.
Answer:
1) 6x = 21
2) x + y - 3
3) x/z = y
4) 2-x = p
Step-by-step explanation:
1. The product of a number x and 6 is 21
A product is a multiplication. A product of a and b is a * b.
We then have a product of x and 6, that x * 6, which we write usually in the format 6x.
is 21: that means it's equal to 21....
so 6x = 21.
2. The sum of the quantity x- 3 and y
The sum is an addition. The sum of a and b is a + b.
In this case, the first part is x - 3, the second part is y
So, x - 3 + y, which we usually rewrite as x + y - 3
3. The quotient of x and z is y
A quotient is a division.
So, quotient of x and z is x/z.
x/z = y
4. The difference of 2 and x is p.
A difference is a subtraction.
Difference of 2 and x is 2 - x
2 - x = p
Answer:
Step-by-step explanation:
acid=16.5 % of 348
=0.165×348
≈57.4 ml