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

Simplify the expression

Answers

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

Is my answer correct???

Answers

Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

in parallelogram
abcd if b=50 find the other angles​

Answers

Answer:

a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180

Which graph represents this system?
Y=3
X+ y = 4


Answers

Answer:

Step-by-step explanation:

The school production of​ 'Our Town' was a big success. For opening​ night, 391 tickets were sold. Students paid ​$4.00 ​each, while​ non-students paid ​$6.00 each. If a total of $1786 was​ collected, how many students and how many​ non-students attended?

Answers

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

The sum of five-sixths of f, one-half of p, and 3

Answers

Answer:

The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]

Solve equation 3 + p = 8

Answers

Answer:

The answer is 5

Step-by-step explanation:

You can do inverse operation which is Subtraction.

8-3 = 5

Answer:

5

Step-by-step explanation:

if its not that i have no idea what to say

(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is​

Answers

Answer:

Given,

Weight of each apple =75 gm

Weight of each orange =40 gm

So,

Weight of x apples =75x gm

Weight of y oranges =40y gm

Thus,

Weight of x apples and y oranges =(75x+40y) gm

I hope it's helpful!

Calculate the area of the trapezoid

Answers

Answer:

180 in^2

Step-by-step explanation:

area = 5(sq rt 75) x (sq rt 27) - [5(sq rt 75)-5(sq rt 27)] x 3(sq rt 3) x 0.5

area = 180 in^2

Construct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm
and AC = 7 cm​

Answers

Answer:

Cevap A şkkı

İyi dersler

I need help it's due by 7

Answers

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

I NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer: D. 25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

Use the Distributive Property to find the product.

1 1/5x25=?

The product is .

Answers

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes​

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

         138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

Find the value of x in the following figure.

Answers

Answer:

x = 8

Step-by-step explanation:

180-(89+57)= 180-146 = 34

(5x -6) = 34

5x = 34 + 6

5x = 40

x = 40 ÷ 5

x = 8

Which pair of angles is congruent?

Answers

Answer:

Option 2

Step-by-step explanation:

Corresponding Angles Theorem

i need help urgently please :D

Answers

Answer:

y = 4

x = 5

y = 2

x = 1

x = 8

Step-by-step explanation:

to find y-intercepts, set x = 0

to find x-intercepts, set y = 0

1.)   4(0) + 5y = 20

     5y = 20

      y = 4 -------> y-intercept

2.)   4x + 5(0) = 20

      4x = 20

       x = 5 -------> x-intercept

3.)   2(0) + y = 2

      y = 2 -------> y-intercept

4.)    2x + 0 = 2

       x = 1 -------> x-intercept

5.)    x - 2(0) = 8

       x = 8 -------> x-intercept

Answer:

4x+5y=20 the answer is below

x= −5/4y+5

y= −4/5x+4

2x+y=2 the answer is below

x= −1/2y+1

y=−2x+2

x-2y=8 the answer is below

x=2y+8

y=1/2x−4

Step-by-step explanation:

Let's solve for x.

4x+5y=20

Step 1: Add -5y to both sides.

4x+5y+−5y=20+−5y

4x=−5y+20

Step 2: Divide both sides by 4.

4x/4 = −5y+20/4

x= −5/4y+5

Answer:

x= −5/4y+5

Let's solve for y.

4x+5y=20

Step 1: Add -4x to both sides.

4x+5y+−4x=20+−4x

5y=−4x+20

Step 2: Divide both sides by 5.

5y/5 = −4x+20/5

y= −4/5x+4

Answer:

y= −4/5x+4

Let's solve for x.

2x+y=2

Step 1: Add -y to both sides.

2x+y+−y=2+−y

2x=−y+2

Step 2: Divide both sides by 2.

2x/2= −y+2/2

x= −1/2y+1

Answer:

x= −1/2y+1

Let's solve for y.

2x+y=2

Step 1: Add -2x to both sides.

2x+y+ −2x=2+ −2x

y=−2x+2

Answer:

y=−2x+2

Let's solve for x.

x−2y=8

Step 1: Add 2y to both sides.

x−2y+2y=8+2y

x=2y+8

Answer:

x=2y+8

Let's solve for y.

x−2y=8

Step 1: Add -x to both sides.

x−2y+−x=8+−x

−2y=−x+8

Step 2: Divide both sides by -2.

−2y −2=−x+8−2

y=1/2x−4

Answer:

y=1/2x−4

Find each angle measure.

Answers

Answer:

Step-by-step explanation:

1)140

2)70

answers:
1) 140
2) 70

Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.

You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.

Answers

Answer:Cross multiply and solve for x.

x/6 = 5/1.25

let the height of building be h ft

h/6 = 60/15

h = 6(60/15) = 24

the building is 24 ft high

Step-by-step explanation:

Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)

...what's
[tex] \sqrt{169} [/tex]

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

Omg pls help in my math. It is 6th grade

Answers

Answer:

1. You have to shade 38/100 squares

2. You have to shade 65/100 squares

3. 3/5=15/25, 6/10, 9/15

Yes he’s right or she ?

Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?​

Answers

Multiply 8km/h by 4h. You will get 32 km

1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)

Answers

Answer:

I think it's correct but tell me if I'm wrong

...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]

Answers

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3

zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?

Answers

15(h) + 12

h = hours worked

//

15(2) + 12

X and Y
-5x+5y=-25
3x+2y=10

the X and Y is (4,-1) i need to know how to get the answer ​

Answers

Step-by-step explanation:

just substitute X and Y by their numerical values.

a) -5(4)+5(-1)=-25

-20-5= -25

-25= -25. true

b) 3(4)+2(-1) = 10

12 -2 =10

10=10. true

(10^2 )^3
i need some help

Answers

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?

Answers

Answer:

bro how many cups fill 14 indentical water bottles

Step-by-step explanation:

question is in complete

or if I take it as x then x/14

hope it helps you

mark me as brainlist

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