The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses
Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
First we have to get the LCM of 8 and 6, which is 24. so the fractions with be Maria 9/24 and Nina 12/24. therefore Nina are more
Answer:
1.1 gigabytes
Step-by-step explanation:
Let us represent:
The number of gigabytes = g
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.
The Equation is given as:
$71.90 = $67.50 + $4 × g
71.90 = 67.50 + 4g
71.90 - 67.50 = 4g
4.4 = 4g
x = 4.4/4
x = 1.1 gigabytes
Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes
Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
