Answer: it will take 2 months.
Step-by-step explanation:
Let x represent the number of months it will take for the total cost for both companies to be equal.
Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be
80 + 45x
Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be
85x
For the total cost for both companies to be equal, the number of months would be
80 + 45x = 85x
85x - 45x = 80
40x = 80
x = 80/40 = 2
Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.
Answer
Cut out the shapes, and then multiply them.
Step-by-step explanation:
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
Answer:
Function: 
Amount earned for 10 hours of work: 
Step-by-step explanation:
Let be "x" the number of hours worked on a project and "y" the total amount Luigi charges for a project.
Based on the data given in the exercise, you can identify that:
- $140 is a fixed amount.
- For each hour worked on the project, Luigi charges $25. This can be expressed as:
Then, the total amount he charges for a project is the sum of $140 and . This can be represented with the following function:
To calculate the amount of money earned for 10 hours of work, you must substitute 
into the function and evaluate. Then:
