With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.​

Answers

Answer 1

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)


Related Questions

4. Rudy is training for a race. On Monday he ran
2 km. On Tuesday he ran 15% farther than on
Monday. If he increases his running distance
by the same percentage each day, on which day
will he first run more than 4 km?
A. Wednesday
B. Thursday
C. Friday
D. Saturday

Answers

Answer:

C

Step-by-step explanation:

You add .3 km to the first day (tuesday)

then .6 then next day (wedneday)

next you add .9 on the next day (thursday)

finally you add 1.2 km on Friday

2.3+0.6+0.9+1.2=4 km

Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°

Answers

Answer:

The value of x is 4 and the value of y is 9

Step-by-step explanation:

In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.

The opposite pairs of angles are:

(10x-4)° and 6(x+2)°

(18y-18)° and 16y°

When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)

So,

[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]

Subtracting 6x from both sides

[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]

Adding 4 on both sides

[tex]4x-4+4 = 12+4\\4x = 16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]

AND

[tex]18y-18=16y[/tex]

Adding 18 on both sides

[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]

Subtracting 16y from both sides

[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]

Hence,

The value of x is 4 and the value of y is 9

The number of people who attended a concert on Friday was 34 the number of people who attended the same concert on Saturday. A total of 840 people attended the concert on those two days. How many people attended the concert on Saturday?

Answers

Answer:

8

the answer is 806

Step-by-step explanation:

840-36=806

2
y + 4
3
How do I write this in a word phrase

Answers

Answer:

To write an expression, we often have to interpret a written phrase. For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.

Step-by-step explanation:

if a football is thrown upward, its height above the

ground is given by the equation s=-16t^2+Vot+so, where

Vo and so are the initial velocity and intial height of the

Football, respectively, and t is the time in seconds.suppose

the football is thrown from the top of a building that is

192 feet tall, with an initiae speed of 96 feet per second.

a)write the polynomial that gives the height of the Football in terms

of the variable t (time)

b) what is the height of the Football after 2 seconds have

Clapsed? Will the football hit the ground after 2 seconds?

Answers

Answer:

a) s = -16[tex]t^{2}[/tex] + 192t + 96

b) Height of the football after 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

Step-by-step explanation:

Given:

s = -16[tex]t^{2}[/tex] + [tex]V_{o}[/tex]t + [tex]s_{o}[/tex]

where: s is the height of the football above the ground, t is the time, [tex]V_{o}[/tex] is the initial velocity and [tex]s_{o}[/tex] is the initial height.

The height of the building = [tex]V_{o}[/tex] = 192 feet and the initial speed of the ball = [tex]s_{o}[/tex] = 96 feet per second, then;

s = -16[tex]t^{2}[/tex] + 192t + 96

a) The polynomial is given as:

s = -16[tex]t^{2}[/tex] + 192t + 96

b) The height of the football when t = 2 seconds is;

s = -16(2) + 192(2) + 96

 = -32 + 384 + 96

 = -32 + 480

s = 448

The height of the football when t = 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

At the candy store, Sophie filled a bag with 2\dfrac232 3 2 ​ 2, start fraction, 2, divided by, 3, end fraction kilograms of candy. \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction of the weight of the candy was from chocolate covered pretzels.

Answers

Answer:

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]

Step-by-step explanation:

Given

[tex]Candies =2\frac{2}{3}\ kg[/tex]

[tex]Chocolate = \frac{1}{4}[/tex] of the candies

Required

Determine the weight of the chocolate pretzels ---- This completes your question

To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.

i.e.

[tex]Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}[/tex]

Convert Fraction

[tex]Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}[/tex]

[tex]Chocolate\ Weight = \frac{1 * 8}{4 * 3}[/tex]

[tex]Chocolate\ Weight = \frac{8}{12}[/tex]

Simplify

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]

what is the proportional realashionship

Answers

Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."

Step-by-step explanation: I got this from a website. Hope it works!!!

Find the Slope.
(2, 8) and (4, -3)

Answers

0.75 is the slope im pretty sure

Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000

please show me the work I need it right know☹️​

Answers

B.

you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5


please help .thanks

Answers

Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

What is the slope and y-intercept of the
graph shown below?

Answers

Answer:

m=1.5 b=4

Step-by-step explanation:

A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?

Answers

Answer:

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683

Answer:

- 4.683

Step-by-step explanation:

Mr. Bearfield deposited $3,500 in a new investment account. -The investment pays 8% interest compounded annually on this account. -Mr. Bearfield did not make any additional deposits or withdrawals. What is the balance of the account at the end of three years?

Answers

Answer:

In 3 years, you will have $4,408.99

Step-by-step explanation:

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

how to simplify this ......​

Answers

First find the square root
4x^-6= 2x^-3
9y^-4= 3y^-2
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
So instead of 2x^-3/3y^-2 make it
2y^2/3x^3
So
The answer will be 2y^2/3x^3
Hope this helps
2y^2/3x^3

STEP BY STEP EXPLANATION

Given point (8,0) and slope 2/3, fill in the blanks to put in point slope form. y-____=____(x-___) *

Answers

Answer:

3y = 2(x -8)

Step-by-step explanation:

this is the sol I could provide

The correct answer is y-0=2/3•(x-8).

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.

Answers

Answer:

Total cost= $31

Step-by-step explanation:

Giving the following information:

The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.

First, we need to structure the total cost formula:

Total cost= 10 + 7h

h= number of hours

Now, for 3 hours:

Total cost= 10 + 7*3

Total cost= $31

A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2

Answers

Answer:

need this as quick as possible pls

Step-by-step explanation:

Answer:

[tex]f(-8)=-2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=\frac{x}{4}[/tex]

And we want to find f(-8).

So, simply substitute -8 for x. This yields:

[tex]f(-8)=\frac{-8}{2}[/tex]

Divide:

[tex]f(-8)=-2[/tex]

Hence, our answer is -2.

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct

Answers

Answer: no Tony is not correct It is less than 5 hundred dollars.

Step-by-step explanation: 8×37=296 +200 = 496

Answer:

38

Step-by-step explanation:

The solution to the inequality is x Greater-than-or-equal-to 37.5.

For this situation, only whole number solutions make sense.

Tony needs to round up to 38.

F(-3,2)G(-3-1)H(-1,-1)I(0,1) rotation by 270 degrees about the origin

Answers

Answer:33

Step-by-step explanation:

The answer is 33 I hope it helps

What does (f+g)x mean?

Answers

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Function NotationCombining like terms

Alg II

Composite Functions

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

BRAINLY AND POINTS FOR STEP BY STEP
b-4z =a for b
____
5

Answers

Answer:

Dividing both sides of 5x = 4 by 5 yields x = 4 _. 5 . The value of x can now be ... tuting −1 for a into the equation b = –a + 3 gives b = −(−1) + 3, or b = 4. ... ___. 82 − (2i)2 . Since i2 = −1, this can be simplified to 24 − 6i − 40i − 10. __.

hope this helps also Brainliest please:)

Answer:

b=7a+4z

Step-by-Step Explanation

I just took the test, this is right, but I'll give you a step-by-step because I want a Brainiest :D

b-4z over 7=a    

Multiply both sides by 7

b-4z=7a

Aded 4z to both sides

Your answer is b=7a+4z

Please give me Brainiest!!!!

HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

56 riders

Step-by-step explanation:

With the proportion given, cross multiply, then divide:

70 × 80 = 56005600 ÷ 100 = 56So, the answer is 56 riders

I hope this helps!

[tex] \:\:\:\:\:\frac{70}{100} = \frac{x}{80} \\ \\ = > \frac{7 \cancel0}{10 \cancel0} = \frac{x}{80} \\ \\ = > x = \frac{7 \times 80}{10} \\ \\ = > x = \frac{7 \times 8 \cancel0}{1 \cancel0} \\ \\ = > x = \green{\boxed{56 \: rides}}[/tex]

please help:) please help:)​

Answers

Is less than <
Hope it helpss

Answer:

Your answer is A) =

Step-by-step explanation:

100 - 2(20)

100 - 40 = 60

3(20) = 60

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2

Answers

Answer:

3.74

Step-by-step explanation:

Count, N: 4

Sum, Σx: 32

Mean, μ: 8

Variance, σ2:  14

Hope this helped!

Answer to this please?

Answers

Answer:

D) 117

Step-by-step explanation:

All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.

A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Answers

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

HELP! will give brainliest!!! The United States released 5.877 billion metric tons of carbon
dioxide into the environment through the burning of fossil fuels in a recent year. If
1 trillion pounds = 0.4536 billion metric tons, how many trillion pounds of carbon
dioxide did the United States release in that year?

Answers

Answer:

13.0 trillion pounds of carbon dioxide

Step-by-step explanation:

5.877 ÷ 0.4536 = 12.9563492063

rounded to 1 decimal place =

13.0 trillion pounds of carbon dioxide

The carbon dioxide released by United States is 12.9563 trillion pounds

What is conversion?

In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.

Now it is given that,

Amount of carbon dioxide released by United States = 5.877 billion metric tons

It is also given that,

1 trillion pounds = 0.4536 billion metric tons

So, 1 billion metric tons = (1/0.4536) trillion pounds

Thus, 5.877 billion metric tons =  (5.877/0.4536) trillion pounds

5.877 billion metric tons =  12.9563 trillion pounds

Thus, the carbon dioxide released by United States is 12.9563 trillion pounds

To learn more abut conversion:

https://brainly.com/question/12681461

#SPJ2

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

Answer:

148

Step-by-step explanation:

Sa=2(lw+lh+wh)

Sa=2(4*5+4*6+5*6)

148=2(4*5+4*6+5*6)

Answer:

100 cm sq

Step-by-step explanation:

The answer is 100 cm sq because the formula would be:

SA= Ph + 2B

Sa= 10 x 6 + 2 x 20 (5 x 4)

SA= 60 + 40

SA= 100 cm sq

Please make me brainliest!!!

5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

Answers

Answer: your Answer is $75 dollars.

Step-by-step explanation:

$25 + $50 = $75

Answer:

[tex]C = 50x + 25[/tex]

Step-by-step explanation:

The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.

[tex]y = mx + b\\C = 50x + 25[/tex]

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