A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.
Answers
Answer:
Step-by-step explanation:
Let x be the no. of minutes
Plan A
Monthly rental = $12
Call charges for 1 minute = 7¢
1 cents = 0.01 dollars
So, Call charges for 1 minute = $0.07
Call charges for x minutes = 0.07 x
Total cost of Plan A = 12+0.07x
Plan B
Monthly rental = $15
Call charges for 1 minute = 5¢
1 cents = 0.01 dollars
So, Call charges for 1 minute = $0.05
Call charges for x minutes = 0.05 x
Total cost of Plan B = 15+0.05x
An inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B=
Solving the inequality :
So, the no. of minutes must be less than 150 for Plan A to be less expensive than Plan B
Hence an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B is
7m-5m+12<5m-5m+15
2m+12<15
2m+12-12<15-12
2m<3
2m/2<3/2
m<3/2
Related Questions
Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.
In the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?
Factor the following polynomial completely. -x^2y^2 + x^4 + 9y^2 - 9x^2
Which of the following values is a solution of 3|5 + x| = 12? A. 7 B. 1 C. –9 D. –17
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 109
<
5) 0.024
24 x 10-2
6) 2,800
2.8 x 103
7) 100
1 x 103
8) 0.0000099
9.9 x 10-6
9) 900,000
9 x 10-5
10) 0.00633
63.3 x 10-3
Answers
Answer:
Step-by-step explanation:
1. 7.645 x 10^7
2. 3.27 x 10^-4
3. 3.4 x 10^4
4. 1.16 x 10^11
5. 2.4 x 10^-2
6. 2.8 x 10^3
8. 9.9 x 10^-6
9. 9 x 10^5
10. 6.33 x 10^-3
7. 1 x 10^2
Final answer:
The listed conversions between standard and scientific notation are mostly correct, with corrections provided for the representations of 900,000 and 100. Scientific notation involves expressing numbers as a decimal between 1 and 10 multiplied by a power of 10.
Explanation:
The conversions between standard notation and scientific notation provided here mostly appear to be correct, however, there are a few errors:
9) 900,000 in scientific notation would be 9 x 105, not 9 x 10-5.
7) 100 in scientific notation would be 1 x 102, not 1 x 103.
Standard notation is a straightforward representation of numbers. Scientific notation, on the other hand, is a method of writing or displaying numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.
Learn more about Standard and Scientific Notation here:
#SPJ2
Answers
Answer:
Step-by-step explanation:
Given that there are 2 points
and
So, the coordinates are:
Equation of a line is given as:
where 'm' is the slope of the line, formula for 'm' is given as:
are the points that satisfy the equation of the line.
is the
intercept.
Calculating the value of m using the given coordinates:
So, the equation of line becomes:
Now, putting the coordinates of point
Please refer to the graph of given equation of line.
The equation of line is:
length = (x + 9) inches and width = (x + 3) inches
length = (x − 3) inches and width = (x − 9) inches
length = (x + 18) inches and width = (x + 9) inches
length = (x − 9) inches and width = (x − 18) inches
Answers
we have
Using a graph tool------> to resolve the second order equation
the solution is
so
therefore
the answer is the option
length = (x + 18) inches and width = (x + 9) inches
(x+9)(x+3=x²+21+27 No
(x-3)(x-9)=x²-12x+27 No
(x+18)(x+9)=x²+27x+162 Yes
(x-9)(x-18)=x²-27x+162 No
Answer C
Answers
Answer:
G(t) = 1800(1.067)^t
Step-by-step explanation:
Answer:
G(t) = 1800(1.067)^t
Step-by-step explanation:
Answers
11/5 * 5/11x = 55 * 11/5
x = 121
Final answer:
The number is found by setting up an algebraic equation and solving for x. The solution to the equation (5/11)x = 55 is x = 121.
Explanation:
The problem states: Five elevenths times a number is 55. This is a typical algebra problem. The first step to solve it is to set up the equation: (5/11)x = 55. In order to isolate x to have it by itself on one side of the equation, you divide 55 by 5/11. When we divide a number by a fraction, we multiply it by the reciprocal of that fraction. So, we have x = 55 * (11/5) = 121.
Learn more about Algebra here:
#SPJ3
width is 3x What is the area of the
rectangle?
Answers
I think that the length's area is 6075