before unlimited talk and text, bonnie used to pay $40 per month for her cell service, plus $0.10 for each text message she sen. One month, bonnie had a $76.50 cell phone bill. Write and solve an equation or inequality to determine how many text messages bonnie sent that month.

Answers

Answer 1

Answer:

Step-by-step explanation:

0.1 x + 40 = 76.5

0.1x = 36.5

x = 36.5 ÷ 0.1 = 365


Related Questions

50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

5 ( 1 + 20 n )

Step-by-step explanation:

Answer:

Your answer will be 150

Step-by-step explanation:

your answer going to be 150

-3a-3=-2n+3p solve for a

Answers

Answer:

a=−2n3−p−1a=-2n3-p-1

Answer:

a=−2n3−p−1a=-2n3-p-1

Step-by-step explanation:

Please Help ASAP

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 0 comma 5 end ordered pair.

Enter your answer in the boxes.

y =
x +

$\text{Basic}$

Answers

Answer:

y=5/2x+5

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and b is the y intercept

FIrst we have to find the slope which is rise/run

Since our points are (-2,0) and (0,5) the equation will be:

5-0/0-(-2)

5/2

The slope is 5/2

Next we have to plug in 5/2 for m:

y=5/2x+b

We know that the y intercept is 5 from the coordinate (0,5)

y=5/2x+5

Answer:

y is  5/2 and x is 5

Step-by-step explanation:

i just know it already x3

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

At the end of week 3 of my baseball team's season, our rcord is 5 wins and 7 looses. Each week after that, we wim 3 games and lose 1 game. At the end of which week will my team have first won at least twice as many games total this season as it has lost?

Answers

Answer:

9 weeks

Step-by-step explanation:

Answer :

9

Explaination

What is 48 square feet in square meters

Answers

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

Matrix, help.
So I was instructed to use a calculator rather than solving by hand, so I did try to use my TI-84 but I'm having trouble, Is it possible to solve this by hand and if so- how do I go about it? Thank you (:

Answers

Answer:

i knew it but i forgot

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons on to the airplane. Suppose that at O’hare International Airport, an average of 10 passengers per minute arrive (interarrival times are exponential). To check passengers for weapons, the airport must have a checkpoint consisting of a metal detector and baggage X-ray machine. Whenever a checkpoint is in operation, two employees are required. A checkpoint can check an average of 12 passengers per minute (the time to check a passenger is exponential). Under the assumption that the airport has only one checkpoint, answer the following questions:

a. What is the probability that a passenger will have to wait before being checked for weapons?
b. On the average, how many passengers are waiting in line to enter the checkpoint?
c. On the average, how long will a passenger spend at the checkpoint?

Answers

Answer:

a

[tex]P_k = 0.83[/tex]

b

 [tex]N_{\mu} \approx 4 \ passengers[/tex]

c

[tex]T_{\lambda} = 0.5 \ minutes[/tex]

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is [tex]\lambda = 10[/tex]

The average number of check that can be carried out in one minute is [tex]\mu= 12[/tex]

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

        [tex]P_k = \frac{\lambda }{ \mu }[/tex]

=>    [tex]P_k = \frac{10 }{ 12}[/tex]

=>    [tex]P_k = 0.83[/tex]

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

     [tex]N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }[/tex]

=>  [tex]N_{\mu} = \frac{10^2}{12 (12 -10) }[/tex]

=>  [tex]N_{\mu} \approx 4 \ passengers[/tex]

Generally the average time a passenger spend at the checkpoint is mathematically represented as

      [tex]T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}[/tex]

=>   [tex]T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}[/tex]

=>   [tex]T_{\lambda} = 0.5 \ minutes[/tex]

What is 55/99 Rounded to the nearest half

Answers

Answer:  1/2

Step-by-step explanation:

Answer: 1/2 is your answer:)

Step-by-step explanation: 50 rounded to the nearest tenth is 50

99 rounded to the nearest tenth is 100 and

50 is half of 100:)

Express decimal as a fraction 8.25

Answers

Answer:

33/4

Step-by-step explanation:

if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

1. A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)".

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answers

Complete question :

A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t.

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answer:

76.384 ;

68.389 ;

65.369;

62.749

Step-by-step explanation:

Given function:

r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)

The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t

a. What is the heart rate of this patient

5 minutes after the drug was administered?

t = 5 ; quantity of drug on patient's body ;

Q(5) = 250(0.8)^5 = 81.92

Q = 81.92

Heart rate (r)

r(81.92) = 60+ 0.2(81.92) = 76.384

t = 8 minutes?

Q(8) = 250(0.8)^8 = 41.94304

Q = 41.94304

Heart rate (r)

r(41.94304) = 60+ 0.2(41.94304) = 68.389

t = 10 minutes

Q(10) = 250(0.8)^10 = 26.8435456

Q = 26.8435456

Heart rate (r)

r(26.8435456) = 60+ 0.2(26.8435456) = 65.369

t = 13 minutes

Q(13) = 250(0.8)^13 = 13.7438953472

Q = 13.7438953472

Heart rate (r)

r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749

Which point is NOT part of the solution set?


A. (-1, -3)

B. (5, 1)

C. (20, -5)

D. (0, 0)

Answers

Answer:

c becues its a bigger number

Step-by-step explanation:

Answer: A.  (-1, -3)

This point is on the boundary line, but the boundary line is a dashed line. So this point is not part of the solution. The dashed line is like an electric fence you can get closer to, but you cannot touch it. It's due to the fact there isn't any "or equal to" as part of the inequality sign. So that's why (-1,-3) is not in the solution set. If the boundary line was solid, then (-1,-3) would be a solution.

Points like (5,1), (20,-5) and (0,0) are solutions because they are in the pink shaded region, and they aren't on the boundary.

Which of the expressions below is greater than 15? Select all that apply.

A) 4.583 + 10.673
B) 26.712 – 11.348
C) 45.768 – 28.945
D) 7.312 + 7.145
E) 11.32 + 3.11

Answers

Answer:

A

B

C

Step-by-step explanation:


1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle

Answers

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

x^2-6x=315

x^2-6x-315=0

(x-21)(x+15)

x=21, x=-15

x cannot be negative so the only answer is 21

5. My red or blue shirt club has 32 members. If the number of people wearing read shirts
is 4 less than triple the number of people wearing blue shirts, how many people are
wearing red shirts?

Answers

Answer:

(red shirt people) r - 4[tex]\sqrt[3]{b}[/tex] (blue shirt people)

Step-by-step explanation:

I don't know if you want an equation or an exact answer. I have an equation though.

I got this answer like this:

4 less is minus 4

triple is multiplication and/or times

What’s the constant term for 7k-8k=

Answers

Answer:

K?

Step-by-step explanation:    

What is the equation of a line that passes through the point (1. 8) and is perpendicuarto rene rose cons y=+32 Enter your answer in the box​

Answers

Answer:

-12yx

Step-by-step explanation:

y=x/2+3

y-3= -6

-6y= x/2

-6 x 2= -12yx

Explain to me in words how you would find the slope of this line

Answers

Answer:

Step-by-step explanation:

go from one point to the other. From the left point to the right point you are running across (to the right) three times. Then you are ¨rising¨ (going down) once. going to the right is positive. If you are going down its negative. Vise versa. The formula is Rise/Run. your answer would be -1/3. the one is negative because it went down.Then divide it and you have -0.333. I hope I helped!


The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250

Answers

We are given:

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

Finding the change in Elevation:

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           [sin(20 degrees) = 0.342]

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m (option B) is correct

A U.S. dime has a thickness of 7.05 millimeters. Gary has a stack of dimes 42.3 millimeters tall. How many dimes does he have?

Answers

He has 6 dimes by dividing 42.3 by 7.05

can yall plz help me with this science qustion

Answers

Answer:

True

Step-by-step explanation:

Find the equation of the line.
The line is perpendicular to y = 1/2x +5 and passes through the point (4,7).

The equation of the line is: y =

Answers

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

-5(2× - 4)=2(x - 8) with work please :)​

Answers

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Distribute the -5 to 2x and -4 which would be: -10x+20=2(x-8)
Then distribute the 2 to x and -8 which would be: -10x+20=2x-16
Subtract 20 from both sides:-10x+20=2x-16
-20. -20
10x= 2x-36
Subtract 2x from both sides: -10x=2x-36
-2x. -2x
-12x=-36
Divide -12 from both sides: -12x=-36
-12/-12= -36/-12
So in the end x=3

The density D of an object is the quotient of its mass m and its volume v

Answers

To find Density you have to divided mass (grams)/volume (mL)

Solve the equation for x.
– 1/2x – 3 = 4

Answers

Answer:

x = -4

Step-by-step explanation:

Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.

Answer: -14
Solving Steps:
-1/2x-3=4 - Multiply both sides
-x-6=8 - Move constant to the right
-x=14 - Calculate
x=-14 - Put the negative on the other side

Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=

Answers

Answer:

same slope but the y- intercept would be -9

A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 400 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.46.

Required:
What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50?

Answers

Answer:

0.0544

Step-by-step explanation:

From the given information;

The population proportion of the voters that would support the ballot measures in region A = 0.46

The random sample n = 400 voters

The required probability can therefore be computed as follows:

[tex]P[p_1>0.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}>\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>1.605 \bigg][/tex]

[tex]P[p_1>0.5] = 1- P [ Z<1.605 ][/tex]

Using the Excel Function =NORMDIST(1.605)

[tex]P[p_1>0.5] = 1- 0.9456[/tex]

[tex]P[p_1>0.5] =0.0544[/tex]

Therefore, the required probability = 0.0544

This is very urgent please tell me if the one that is highlighted all blue is correct or not left or right question,which is correct?

Answers

Answer:

right option

Step-by-step explanation:

RIIIIIGGGGGGGGGGGGGHHHHHTTTTT ONE

Researchers are interested in assessing if there is an association between dietary cholesterol intake and high blood pressure. The following data was summarized:

Blood Pressure
Dietary Cholesterol High Low Total
High 159 91 250
Low 78 172 250
Total 237 263 500

Required:
a. Estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol.
b. Compute an estimate of the odds ratio of high blood pressure for the two groups
c. Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

Answers

Answer:

A) Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  The odds ratio shows that  BP is directly proportional to Dietary cholesterol

Step-by-step explanation:

A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol

Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) Compute an estimate of the odds ratio of high blood pressure for the two groups

High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

The odds ratio shows that  BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios

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