Solve the equation -84= 6(p-8)

A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost f

rjkz [21]

Answer:

The constant charge for each minute used is $50

Step-by-step explanation:

In order to solve this problem we will need to set two variables up. In this case:

F = constant Fee

R = rate per minute used

So the cost for the month of January is calculated like this:

F+300R=68

and the cost for February is calculated like this:

F+275R=66.5

So no we have a system of equations we can solve simultaneously. This can be solved by using different methods, elimination, substitution, graphically or by using matrices. I will solve this by substitution.

So let's solve the first equation for R:

$R=\frac{68-F}{300}$

and let's substitute this first equation into the second equation:

$F+275(\frac{68-F}{300})=66.5$

and now we can solve this for F:

$F+11(\frac{68-F}{12})=66.5$

We can multiply both sides by 12 so we get:

12F+11(68-F)=798

12F+748-11F=798

F= $50

3 0

3 years ago

Solve for the variable m. m - n = 5

Ber [7]

7=m

2=n

so it will be 7-2=5

7 0

3 years ago

Read 2 more answers

Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate l

AURORKA [14]

Answer:

The correct option will be: (b) 7 feet.

Step-by-step explanation:

Suppose, the length of the garden is $x$ feet.

As the shape of the garden is like a square, then the area of the garden will be: $(length)^2 = x^2$ feet²

Given that, the area is 52 square feet. So, the equation will be.......

$x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7$

So, the approximate length of the garden will be 7 feet.

4 0

3 years ago

The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the c

Bess [88]

Look in the "on time" column (first column) and the "physics" row (row 1)

The value 89.7% is in this row and column intersection

Therefore, the probability of getting a physics assignment on time is 89.7%, so the answer is choice C.

6 0

3 years ago

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WILL GIVE 100 POINTS

padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the the first term
d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

sequence because there is a common difference between

each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ $a_{n}=18+(n-1)3$

- Simplify the right hand side

∴ $a_{n}=18+3n-3$

- Add like terms

∴ $a_{n}=15+3n$

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

∵ There are 120 seat in a row

- Substitute $a_{n}$ by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0

3 years ago

Solve the equation-84= 6(p-8)​

Solve the equation-84= 6(p-8)