Answer:
90-54w
Step-by-step explanation:
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:
15 cans
Step-by-step explanation:
25/5=5
5*3=15
this the answer to it
1. Solve for x in 4x-2y+7=33
4x-2y+7=33
4x+6=33+2y
4x=33+2y-7
4x=2y+26
x=(2y+26)/4
x=(2(y+13))/4
x=(y+13)/2
2. Substitute x=(y+13)/2 into 5y=3x-30
5y=3x-30
5y=3*(y+13)/2 -30
5y=(3(y+13))/2 - 30
3. Solve for y in 5y=(3(y+13)/2 -30
5y=(3(y+13))/2 - 30
10y=3(y+13)-60
10y=3y+39-60
10y=3y-21
10y-3y=-21
7y=-21
y=-21/7
y=-3
4. Substitute y=-3 into x=(y+13)/2
x=(y+13)/2
x=(-3+13)/2
x=5
5. Therefore,
x=5 and y=-3
I hope you have a nice day :D
Step-by-step explanation:
125+680w<u>></u>2,500+450w