The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used

Answers

Answer 1

Answer:

a) $141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b) $244.4

Step-by-step explanation:

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:

a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.

If a customer uses 330 minutes, the monthly cost will be $141.5.

y = mx + b

$141.5 = 330m + b

If the customer uses 890 minutes, the monthly cost will be $337.5.

$337.5 = 890m + b

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b. Use your equation to find the total monthly cost if 624 minutes are used

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

We Subtract Equation 2 from 1

-196 = -560m

m = -196/-560

m = 0.35

$337.5 = 890m + b..... Equation 2

$337.5 = 890 × 0.35 + b

$337.5 - 311.5 = b

b = 26

When x = 624

y = 624× m + b

m = 0.35 , b = 26

y = 624 × 0.35 + 26

y = 218.4 + 26

y = $ 244.4


Related Questions

what type of angle is 1​

Answers

Answer:

Step-by-step explanation:

A right angle

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

6. Evaluate f(-1).

7. What value of a will make the equation f(a) = 6 true?

someone please help lol I have a test <3

Answers

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *

Answers

Answer:

126.8 Hope this helps

A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?

PLEASE HELP ME WILL REPORT IF TROLL

Answers

Answer:

The answer is 1470 seconds.

Step-by-step explanation:

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.

Answers

Answer:

The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".

Step-by-step explanation:

[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]

   [tex]= \frac{-20}{20} \\\\=-1[/tex]

It found a p-value from its empirical rule:

[tex]\to P(\bar{x}<170) = 0.1587[/tex]

Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answers

The first square is 100% and the second square is 55% filled in

HELP FAST I NEeD THIS

Answers

Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

4x + 16y = -19
-2x - 8y = 10

Answers

Answer:

No solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x + 16y = -19

-2x - 8y = 10

Step 2: Rewrite systems

-2x - 8y = 10

Add 8y to both sides:                    -2x = 8y + 10Divide -2 on both sides:                x = -4y - 5

Step 3: Redefine systems

4x + 16y = -19

x = -4y - 5

Step 4: Solve for y

Substitution

Substitute in x:                         4(-4y - 5) + 16y = -19Distribute 4:                              -16y - 20 + 16y = -19Combine like terms:                -20 ≠ -19

Here we see that -20 does not equal -19.

∴ This systems of equations has no solution

Step 5: Graph

Check the systems.

Hard to see, but they are parallel lines.

A bicycle is traveling at 21 miles per hour. How many feet will it cover in 35 second?

Answers

The answer is an estimate of about 943.36 feet.

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).

Answers

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

2+4 i need help right now​

Answers

Answer:

6?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2 + 4 =6

just add 2 by 4 than ans 6

guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?

Answers

the coefficient of y^2 is 5.
the coefficient is basically like the value of the unknown term, y^2.

which model represents a fraction greater than 3/5? ​

Answers

Answer:

The last one is your answer :))

Step-by-step explanation:

Answer:

Blue circle.

Step-by-step explanation:

I hope it helps, if my answer is correct, please give BRAINLEST!

0.01 is blank times as much as 0.001 please answer i will brainliest ​

Answers

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

4+4
[tex]4 + 4[/tex]

Answers

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

Question 1 of 60
Find an underestimate for 32 x 67 by adjusting each factor down to the next
ten.
A. 2800
B. 2100
C. 1800
D. 2400

Answers

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

[tex]2100[/tex]

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

[tex]30 and 70[/tex]

Multiply together:

[tex]2100[/tex]

So your answer is B:

[tex]2100[/tex]

1.5.3

6x+7

To solve for the lengths of the right triangle sides, which equation is correct?

A. x² = (4x - 1)² + (6x + 7)?

B. x2 +(6x + 7)2 = (4x - 1)2

c. x² = (4x - 1)² – (6x + 772

D.x² + (4x - 1)2 = (6x + 7)?

4x-1

To solve for the lengths of the right triangle sides, equation is correct.

(Type A, B, C, or D.)

Answers

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

1+1+2+2+8+19+1234385993 hehe i will brainlest

Answers

Answer: 1234386026

Step-by-step explanation:

Answer:

1,234,386,030

Step-by-step explanation:

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(2/7)^3

A: 8/343
B: 8/7
C: 3/343
D: 6/7

Answers

Answer:

8/343

so A

Step-by-step explanation:

The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is​

Answers

Answer:

Hi... U should do like this

Please I really need help
For both questions please

Answers

Answer:

2 is A, 3 is C

Step-by-step explanation:

2 is A, and 3 is C. Hope this helps!

2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35

Answers

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

Will mark as brainliest if correct!

Answers

Answer:

the answer is A

Step-by-step explanation:

48/50 x 100% = 96% of student wearing tennis shoes

100% - 96% = 4% students not wearing tennis shoes

Please Help! WILL GIVE BRAINLIEST​

Answers

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

please help with this question will give brainlyest if you get it right
the answer choices are
9 and 22/40
9 and 3/28
10 and 22/40
10 and 11/13
please help!!!!!!!

Answers

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.

Answers

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10

Answers

Answer:

it's a sooooooo it's the first one

Answer:

1/8

Step-by-step explanation:

i used the calculator.

Other Questions
A student has a balloon with a volume of 2.5 liters that contains 4.0 moles of air. The ballon has a small leak, allowing one mole to escape, leaving just 3.0 moles of air inside the balloon. What is the balloon's new volume after the air has escaped? . The Tinker kids sued the Des Moines, Iowa school district because they believed they had the right of A. freedom of assembly B. freedom of speech C. trial by jury D. right to counsel (lawyer) Pobre Ana: can I have five facts about ana? It's a book in Spanish and my answers need to be in Spanish too..I will give brainiest and a lot of points! TIMED PLEASE HURRYExplain how the following factors contributed to territorial expansion from 1844 to 1860.Please use all three factors in your response. Economic interests Cultural beliefs Political ambitions Question 2 (1 point)Which of the following is the main reason the transition metals are able to exist in different forms?.predictability in ability to bondB.unfilled d orbitalsC.magnetic propertiesD.predictability in number of valence electrons A health insurance policy requires that eachperson covered pay the first $300 of a bill andthen 0.2 times the rest of the bill. Fran iscovered by this policy and had to pay $500.What was her total bill? Can anyone help me with this plzz? A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same. Which of thefollowing representsthis graph?A. y = (x+11B. y = |x-1|c. y = xl-1D. y = |x|+1 Which statement states the central idea of the passage? What is the most effective way for Congress to prevent a president's foreign policy? Can someone write half a page of this? If you do this Ill make another post to give you more points If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to complete the square May someone help me with this please?!Factor the polynomial function over the complex numbers.f(x)=x4+3x24Enter your answer in the box.f(x)= Slope is - 1 and (0, 2) is on the line You are a medical examiner, and have been given a body to autopsy. What would you do first? *A) Remove the brain and check it for signs of injuryB) Open up the body and begin to examine the internal organsC) Check the outside of the body for injuries, tattoos, marks, look for identificationD) None of these are parts of an autopsy How many valence electrons does Neon have and does it have cations and anions??? could someone plz answer! i need a, b, c Rewrite the following sentence to start with "None of ".The company made two proposals and the board refused both of them. The separation of the ownership of the firm from the control of the firm leads to: ____________a. debt financing. b. an agency problem. c. depreciation. d. equity financing.