Answer: the equations are
0.02x + 0.07y = 156
y = 300 + x
Step-by-step explanation:
Let x represent the total dollar amount of phone sales that she makes.
Let y represent the the total dollar amount of computer sales that she makes.
Josiah earns a 2% commission on the total dollar amount of all phone sales he makes, and earns a 7% commission on all computer sales. She earned a total of $156 in commission. This means that
0.02x + 0.07y = 156 - - - - - - - - - - -1
Josiah had $300 more in computer sales than in phone sales. This means that
y = 300 + x
Answer:
1/3
Step-by-step explanation:
<h2>
x = 9</h2><h3 />
<u>We know:</u>
- we can add/subtract the same expression to both sides of the equation to get an equivalent equation;
- we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.
<u>Equivalent equations</u> are algebraic equations that have identical solutions.
We have the equation:
![2x+\dfrac{1}{3}x=21](https://tex.z-dn.net/?f=2x%2B%5Cdfrac%7B1%7D%7B3%7Dx%3D21)
<h3>SOLUTION:</h3>
<em>multiply bot sides by 3</em>
<em />![3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63](https://tex.z-dn.net/?f=3%5Ccdot2x%2B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5Ccdot%5Cdfrac%7B1%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%7Dx%3D3%5Ccdot21%5C%5C%5C%5C6x%2Bx%3D63%5C%5C%5C%5C7x%3D63)
<em>divide both sides by 7</em>
<em />![\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%5C%21%5C%21%5C%21%5C%21%5Cdiagup%20x%20%7D%7B7%5C%21%5C%21%5C%21%5C%21%5Cdiagup%7D%3D%5Cdfrac%7B63%7D%7B7%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D9%7D)
Answer:
20°
Step-by-step explanation:
4x+3x+2x=180°(Sum of interior anglevof triangle)
9x=180°
x=20°
I Hope this will be helpful for you.