Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
Answer:
Brainleist!
Step-by-step explanation:
10 marbles total
8 are either purple or orange
8/10 or 4/5 or 80% or 0.8
80 x 0.8 = 64
Answer:x =2
Step-by-step explanation:
Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:
So
Changing x with y
Now, we have to isolate y. So
We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
![f^{-1}(x)=y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
Answer:
Formula for the volume of a rectangular prism:
V = length x width x height
To solve, substitute the dimensions given in the problem and multiply.
