Let’s designate the number of banana splits sold as x. That means the number of sundaes sold is x + 8.
Now if we put this into an equation, also keeping in mind their costs, we get:
3(x) + 2(x + 8) = 156
Now to solve for x:
3x + 2(x + 8) = 156
3x + 2x + 16 = 156
5x = 140
x = 28
That means you’ve sold 28 banana splits and 36 sundaes! :)
The answer is 50 & 24
x - the bigger number
y - the smaller number
<span>The sum of a number and two times a smaller number is 98:
x + 2y = 98
</span><span>The bigger number is 22 less than three times the smaller number:
x = 3y - 22
</span>x + 2y = 98
x = 3y - 22
________
3y - 22 + 2y = 98
5y - 22 = 98
5y = 98 + 22
5y = 120
y = 120/5
y = 24
x = 3y - 22
x = 3 * 24 - 22
x = 72 - 22
x = 50
The solution to the system of equations is (-3.88, 0.66) and (3.04, 1.09)
<h3>How to determine the solution to the
system of equations?</h3>
The system of equations is given as:
x^2y + yx^2 = 20
1/x + 1/y = 5/4
Multiply through the equation 1/x + 1/y = 5/4 by 4xy
So, we have:
4x + 4y = 5xy
So, we have the following system of equations
4x + 4y = 5xy
x^2y + yx^2 = 20
Next, we plot the graph of the system of equations
4x + 4y = 5xy
x^2y + yx^2 = 20
See attachment for the graph of the system
From the attached system, we have the point of intersection to be
(x, y) = (-3.88, 0.66) and (3.04, 1.09)
Hence, the solution to the system of equations is (-3.88, 0.66) and (3.04, 1.09)
Read more about system of equations at
brainly.com/question/13729904
#SPJ1
Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by 
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒
∝ ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.
Hey, there !
If you want to know it as a "improper fraction" , you can
Multiply the denominator from the front number
Whatever the denominator and front number is , you add it to the numerator
So, for this problem we first have the multiply the front number from the denominator
Like: 8 (40)
That gives us the answer of: 320
Now we have to add 320 to 21
Like: 320 + 21
That gives us the answer of:341
We keep our denominator (which is "40" )
Your improper fraction would be:
341 / 40
Good luck on your assignment and enjoy your day!
~MeIsKaitlyn:)