7.2x=14.4
7.2x/7.2= 14.4/7.2
x=2
Answer:
see explanation
Step-by-step explanation:
Expressing as equations
9x + 10y = 297 → (1) ← that is B
8x + 5y = 194 → (2) ← that is D
To solve the system of equations, multiply (2) by - 2
- 16x - 10y = - 388 → (3)
Add (1) and (3) term by term to eliminate the term in y
(9x - 16x) + (10y - 10y) = (297 - 388), that is
- 7x = - 91 ( divide both sides by - 7 )
x = 13
Substitute x = 13 into either of the 2 equations and solve for y
Using (1), then
(9 × 13) + 10y = 297
117 + 10y = 297 ( subtract 117 from both sides )
10y = 280 ( divide both sides by 10 )
y = 28
Cost of a small box of candy = $13
Cost of a large box of candy = $28
M<NMP = 42
m<P = 31
Yeah that's pretty much it.
Answer:
<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>
Step-by-step explanation:
![a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}](https://tex.z-dn.net/?f=a-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20an%20adult%7D%5C%5Cs-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20a%20student%7D%5C%5C%5C%5C%281%29%5Cqquad%20a%2Bs%3D300%5C%5C%282%29%5Cqquad4.5a%2B3s%3D1087.5%5C%5C------------%5C%5C%281%29%5C%5Ca%2Bs%3D300%5Cqquad%5Ctext%7Bsubtstitute%7D%5C%20s%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5Ca%3D300-s%5C%5C%5C%5C%5Ctext%7BPut%20it%20to%20%282%29%3A%7D%5C%5C%5C%5C4.5%28300-s%29%2B3s%3D1087.5%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C%284.5%29%28300%29%2B%284.5%29%28-s%29%2B3s%3D1087.5%5C%5C%5C%5C1350-4.5s%2B3s%3D1087.5%5Cqquad%5Ctext%7Bsubtract%201350%20from%20both%20sides%7D%5C%5C%5C%5C-1.5s%3D-262.5%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-1.5%29%7D%5C%5C%5C%5C%5Cboxed%7Bs%3D175%7D)
![\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}](https://tex.z-dn.net/?f=%5Ctext%7BPut%20the%20value%20of%7D%5C%20s%5C%20%5Ctext%7Bto%20%281%29%3A%7D%5C%5C%5C%5Ca%3D300-175%5C%5C%5C%5C%5Cboxed%7Ba%3D125%7D)
Answer:
6) x = 40.5
8) x = 16.5
Step-by-step explanation:
6) 45/x = 20/18
simplify and cross-multiply to get:
45/x = 10/9
10x = 405
x = 40.5
8) 22/8 = x/6
11/4 = x/6
4x = 66
x = 33/2
x = 16.5