In order to answer the question, you have to compute the unit price: max paid 45$ for 15 gallons, so he paid each gallon
![\dfrac{45}{15}=3\$](https://tex.z-dn.net/?f=%20%5Cdfrac%7B45%7D%7B15%7D%3D3%5C%24%20)
On the other hans, Sarah paid each gallon
![\dfrac{47}{20} = 2.35\$](https://tex.z-dn.net/?f=%20%5Cdfrac%7B47%7D%7B20%7D%20%3D%202.35%5C%24)
Answer:
See explanation
Step-by-step explanation:
Let
be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
![15x+25y\ge 3,750](https://tex.z-dn.net/?f=15x%2B25y%5Cge%203%2C750)
2. The auditorium can accommodate up to 180 spectators, hence
![x+y\le 180](https://tex.z-dn.net/?f=x%2By%5Cle%20180)
3. We get the system of inequalities:
![\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cge%200%5C%5Cy%5Cge%200%5C%5Cx%2By%5Cle%20180%5C%5C15x%2B25y%5Cge%203%2C750%5Cend%7Barray%7D%5Cright.)
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise ![\$(15\cdot 50+25\cdot 125)=\$3,875](https://tex.z-dn.net/?f=%5C%24%2815%5Ccdot%2050%2B25%5Ccdot%20125%29%3D%5C%243%2C875)
Answer:
srry i need points
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 10 as the denominator :
7x 7x • 10
7x = —— = ———————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7x • 10 + 1 70x + 1
——————————— = ———————
10 10
Final result :
70x + 1
———————
10
Processing ends successfully
Answer:
thank you!!! :)
Step-by-step explanation: