Answer:
![\large\boxed{12x+4y=-10}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B12x%2B4y%3D-10%7D)
Step-by-step explanation:
The standard form:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
A, B and C are the integer.
We have:
![\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B5%7Dx%2B%5Cdfrac%7B1%7D%7B4%7Dy%3D-%5Cdfrac%7B1%7D%7B2%7D)
Find the common denomintaor of given fractions.
We have 5, 4 and 2. The common denominator of 2, 4 and 5 is 20.
20 = 2 · 10 = 4 · 5 = 5 · 4
Thereofre multiply both sides by 20:
![20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10](https://tex.z-dn.net/?f=20%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E4%5Ccdot%5Cdfrac%7B3%7D%7B5%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx%2B20%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E4%5Ccdot%5Cdfrac%7B1%7D%7B4%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7Dy%3D20%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E%7B10%7D%5Ccdot%5Cleft%28-%5Cdfrac%7B1%7D%7B2%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7D%5Cright%29%5C%5C%5C%5C%284%29%283x%29%2B%285%29%281y%29%3D%2810%29%28-1%29%5C%5C%5C%5C12x%2B4y%3D-10)
Answer:
Let m be the number of muffins.
a) 4m <= 30
b) m <= 7.5, so the maximum number of muffins to buy is 7.
c) $4 × 7 = $28, so $2 will be left over.
Answer:
A.
= ![\frac{3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D)
Step-by-step explanation:
of the students wore shorts.
of the students wore jeans.
Converting the fractions of the students who wore shorts and jeans respectively;
= 0.25
= 0.25
This means that the ratio of students who wore shorts is the same as that of students who wore jeans.
i.e
= ![\frac{3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D)
Each calculator sold for $12.67 . So 5 would be $63.35
Answer:
-6.3
Step-by-step explanation:
4.2x, if x = 0, then y = -6.3