The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?

Answers

Answer 1

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]

Put m in (i) , we get

[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6


Related Questions

what is the solution to d · -4=32​

Answers

Answer:

-8

Step-by-step explanation:

-4d=32

d=32/-4

d=-8

Which of the following could be the side measures of a right triangle? *

1)6 ft, 5 ft, 4 ft

2)8 ft, 7 ft, 6 ft

3)10 ft, 8 ft, 6 ft

4)12 ft, 10 ft, 8 ft

Answers

Answer:

option 1

Step-by-step explanation:

please Mark me as brainlist

The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)

Answers

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

Please help.
Is Algebra.

Answers

Answer:

5. 2, 6. 18

Step-by-step explanation:

8-?= 6, ? = 2

?-11 = 7, ? = 18

A box of dried fruit has 80 calories in 5 servings. How many calories are there per serving?

Answers

Answer:

16 calories per serving

Step-by-step explanation:

80/5=16 calories per serving

Answer:

16 calories per serving. Hope this helps

Step-by-step explanation:

Find the area of the parallelogram. Round to the nearest hundredth if necessary.

Answers

Answer:

1424.81 square meters

Step-by-step explanation:

20.21 m * 70.5m = 1424.805 square meters

So then you round it to the nearest hundredth so then..

1424.81 square meters

Step-by-step explanation:

A of a parallelogram = Base ×height

= 20.21×70.5= 1424.805m

nearest hundreth = 1424.81 m

How many fluid ounces are in 1 quart

Answers

1 quart is 32 fluid ounces

Jazzy goes to bed 3 h after dinner.

Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.

How much time does she have before bed time?


PLEASE SHOW YOUR WORK!!!

Answers

Answer:

It was easy

Step-by-step explanation:

11 x 2 = 22

3 x 2 = 6

22 x 6 = 132

The time Jazzy has before going to bed is  [tex]\frac{5}{6}[/tex] hour

The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner

Sum of activities done after dinner = hours spent on homework + hours spent on the telephone

[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]

[tex]1\frac{3 + 4}{6}[/tex]

= [tex]1\frac{7}{6}[/tex]

=[tex]2\frac{1}{6}[/tex]  hours

Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner

Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed

3 - [tex]2\frac{1}{6}[/tex]  hours = [tex]\frac{5}{6}[/tex] hour

A similar question was solved here: https://brainly.com/question/18157047?referrer=searchResults

Convert: 7 qt.=________fl.oz

Answers

Answer:

224 fl.oz

Step-by-step explanation:

Which statement is true about the slope of the graphed line?

Answers

Answer:

B, the slope is positive.

Step-by-step explanation:

You can tell that the slope is positive because it is going upwards from left to right.

B) Positive slope. A trick to doing this is if you can draw a P shape based on the slope, it is positive. An N shape is negative.

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches

Answers

Answer:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.​

Answers

Answer:

the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty

Using suitable identity find 5.62

− 0.32​

Answers

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

I NEED HELP WITH THISSSSSSSS!!!!!!

Answers

Answer:

The answers should be:

LRS = 137.5

NRS = 42.5

QRN = 137.5

MNR = 42.5

RNP = 137.5

KNP = 42.5

MNK = 137.5

Step-by-step explanation:

180 - 42.5 = 137.5

Answer:

ok this is going to be kinda confusing but here:

angle lrs: 137.5

angle nrs:42.5

angle nrq:137.5

angle knp:42.5

angle rnm: 42.5

angle mnk: 137.5

angle pnr: 137.5

Step-by-step explanation:

basically everything is either 137.5 or 42.5

x2 = 36 solve for x please answer

Answers

Step-by-step explanation:

Given

x² = 36

x² =( +6)²

x = +6

Hope it will help :)

Answer:

x= 18

Step-by-step explanation:

Divide both sides by 2

2 and 2 cancel out

36/2=18

check that it fits

2 x 18=36

18 is correct

Hope this helps ^-^


There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?

Answers

Answer:

576 I think

Step-by-step explanation:

3 x 12 x 16

Eqiuvalent expressions
5(x)(x)(x)(x)

Answers

Answer:

5x^4

Step-by-step explanation:

someone help me please quick?

Answers

if I'm not wrong the answer does seem to be 69

1,4,5 and 8 are congruent

Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5

Answers

It is called associated property.
The ( ) are moved around, but the answer will be the same.

What is the value of w?

Answers

AnswThe letter (W) is the symbol used to represent whole numbers. Whole numbers are counting numbers from 0 to infinity. The whole numbers (W): 0, 1, 2, 3, 4 . . . Notice that every natural number is a whole number.er:

Step-by-step explanation:

w + 48° = (w + 7°) + (w-27°)

48° = w + 7° - 27°

48 = w -20°

68° = w

PLEASE PLEASE HELP ME!!!

Answers

I tried to show all work.

Answer:

majadoxkdkdkrjjdkaoxjxjdhuriqwlsnxbxjdiirkekrnrnrjhfuxueiejhrhd

i need help with this pls 20 points for the right answer

Answers

Answer:

hiiii

Step-by-step explanation:

sorry I have not idea like what garde are u I'm

what is 69% of 69 what is 69% of 69

Answers

Answer:

69% of 69 is 47.61 :)

What???? I think the person on the top is correct

say something so mean to me idc just say whats on your mind broskis

Answers

Answer:

Can grape juice be made into grapes?

Your so UGLY you turned medusa into stone.

Step-by-step explanation:

I said what was on my mind

I’m bored and wish I could hang out with a friend or something. Also you are more disappointing than an unsalted pretzel.

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.


A.
431.6 km


B.
268.8 km


C.
688 km

Answers

Answer:  C) 688 km

=================================================

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

What is 3 - 15/7? I am having trouble with that problem! Thank you for whoever helps.

Answers

Answer:

About -1.7142

Step-by-step explanation:

-

2. Which of the following are solutions to - 2.7 + x = - 3.5?

Answers

Step-by-step explanation:

x = -4/5 = -0.8

Answer:

x = −0.8

Step-by-step explanation:

−2.7 + x = −3.5

1.) Simplify both sides of the equation

x − 2.7 = −3.5

2.) Add 2.7 to both sides

x − 2.7 + 2.7 = −3.5 + 2.7

AND BAYUM...

x = −0.8

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!!!

GL :)

a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of ​

Answers

Answer:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

a(b - 4) + c(b - 4)
can someone help me please!!!​

Answers

Answer:

(b−4)(a+c)

Step-by-step explanation:

Answer:

ab-4a+cb-4c

Step-by-step explanation:

a(b-4)+c(b-4)

ab-4a+cb-4c

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