Solving equations simple
9n + 12 = 30
Answer:
yes
Step-by-step explanation:
1/4 and you choose three different toppings for a sundae
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
![30x+b=150 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=30x%2Bb%3D150%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
![70x+b=270 \ \ \ \ equation \ 2](https://tex.z-dn.net/?f=70x%2Bb%3D270%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202)
Now we will subtract equation 1 from equation 2 we get;
![70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120](https://tex.z-dn.net/?f=70x%2Bb-%2830x%2Bb%29%3D270-150%5C%5C%5C%5C70x%2Bb-30x-b%3D120%5C%5C%5C%5C40x%3D120)
Dividing both side by 40 we get;
![\frac{40x}{40}=\frac{120}{40}\\\\x=\$3](https://tex.z-dn.net/?f=%5Cfrac%7B40x%7D%7B40%7D%3D%5Cfrac%7B120%7D%7B40%7D%5C%5C%5C%5Cx%3D%5C%243)
Now we will substitute the value of x in equation 1 we get;
![30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60](https://tex.z-dn.net/?f=30x%2Bb%3D150%5C%5C%5C%5C30%5Ctimes3%2Bb%3D150%5C%5C%5C%5C90%2Bb%3D150%5C%5C%5C%5Cb%3D150-90%20%3D%5C%2460)
So we can say that the equation can be written as;
![y =3x+60](https://tex.z-dn.net/?f=y%20%3D3x%2B60)
Hence we can say that fixed rate is $60 and per student charge is $3.
Answer:
The correct answer is False