A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.

|x − 32| ≥ 8; The medication costs range from $24 to $40

|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.

|x − 32| ≤ 8; The medication costs range from $24 to $40

|x − 32| ≤8; The medications cost less than $24 or greater than $40.

Answers

Answer 1
 It looks like you're supposed to pick a combination of two answers: 
an absolute-value inequality, and 
a sentence describing the meaning of that inequality. 

We've got two choices for each, and therefore four possible combinations of choices. 

First, let's tackle the sentence description. We're told that 
"it [the cost] could differ [from the average of $32] as much as $8." 
That sets a maximum value for the difference; it's UP TO $8. 
If the cost is less than average, it could be as little as 
$32 - $8 = $24 
and if the cost is more than average, it could be as much as 
$32 + $8 = $40. 
So the medication costs range from $24 to $40, and we want an answer that states that. 

Now for the inequalities: 
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between 
x - 32 
and 
32 - x 
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference. 

But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality 
|x - 32| ≥ 8 
says the difference is 8 or MORE, so we don't want that. Instead, we want 
|x - 32| ≤ 8 
which says the difference is anywhere from 0 to 8. 

Combining these conclusions, we see we're looking for this answer: 
|x - 32| ≤ 8; The medication costs range from $24 to $40 
which is the third one listed.
Answer 2

the answer is C the third one


Related Questions

A student is training for the track team during the first three months of the year by running for 30 minutes every day while averaging 5 miles each day. Select the graph that correctly shows the total miles ran during the time of his training program.

Answers

30 minutes  -  5 miles;
1 hour -  10 miles
10 hours - 100 miles ...
The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted  along the y-axis ( Miles ). Also:
3 months = 90 days
90 x 1/2 hours = 45 hours
Answer: The graph B ) ( or the second one ). 

Answer:

Graph 2 :)

Step-by-step explanation:

Jordan scores 6 points for every touchdown he makes. This season he has scored 18 touchdowns. Write a number sentence using the variable t to represent the number of points Joran scored this season.

Answers

t=6x18 so he will have scored 108 points

Answer:

18 times 6= t

Step-by-step explanation:

Faith is 1/5 get morthers age. their combined ages are 30. how old is faith

Answers

Let, Age of Faith = x
Age of this mother = 5x

Then, x+5x = 30
6x = 30
x= 5

So, age of faith is 5 years.

Hope this helps!

Donte simplified the expression below.

4(1 + 3i) – (8 – 5i) = –4 + 8i

What mistake did Donte make?
A.He did not apply the distributive property correctly for 4(1 + 3i).
B.He did not distribute the subtraction sign correctly for 8 – 5i.
C.He added the real number and coefficient of i in 4(1 + 3i).
D.He added the two complex numbers instead of subtracted.

Answers

The answer is: [A]: He did not apply the distributive property correctly for                                        4(1 + 3i) .
_____________________________________________
Explanation:
______________________
Note the distributive property of multiplication:
_____________________________
a*(b+c) = ab + ac.
____________________________
As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
_____________________________________
Instead, Donte somehow incorrectly calculated:
_____________________________________
4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);

Note:  - (8 - 5i) = -8 + 5i (done correctly; 
___________________________________
So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
_____________________________
4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
__________________
This corresponds to: "Answer choice: [A]: He did not apply the distributive property correctly for 4(1 + 3i)."
___________________________
Based on the given solution above made by Donte, the mistake that he made is that he did not apply the distributive property correctly for 4(1 + 3i). The answer is option A. Here is why. If we simplify this, it would look like this:
4(1 + 3i) – (8 – 5i) 
4+12i - 8 + 5i
17i-4
so, 4(1 + 3i) – (8 – 5i) should be equal to 17i - 4. 
Hope this is the answer that you are looking for. Have a great day!

Simplify √24

A 3√8

B 2√12

C 2√6

D 4√6

Answers

√24=√4×6=2√6
c)2√6
---------

Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .

Answers

It's B) exponential. ...

Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles' rate?

Which equation could be used to solve for Charles' rate if it is represented by x?
A.2x = 36
B.2x = 54
C.6x = 54

Answers

Answer: 2x = 54

I got this question correct on my lesson.

Final answer:

To find Charles' rate, we can set up an equation using the formula Distance = Rate x Time. The correct equation to solve for Charles' rate x is 2x = 36.

Explanation:

To solve this problem, we can use the equation Distance = Rate x Time. Let's assume that Charles' rate is represented by x. When Charles overtakes Bill, they have traveled the same distance. Bill has been riding for 4 hours at a rate of 9 mph, so his distance is 9 x 4 = 36 miles. Charles overtakes Bill in 2 hours, so his distance is x x 2. Setting the two distances equal to each other, we have 36 = 2x, which simplifies to 2x = 36. Therefore, the correct equation to solve for Charles' rate x is option A, 2x = 36.

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how many solutions does the system of equations have 2x = -10y + 6 and x + 5y = 3

Answers

Infinite

x=-5y+3 is the same as x+5y=3

what subset of real numbers does 26 belong to

Answers

natural numbers are counting numbers like 1,2,3,4,5...
this set does not include negative numbers or 0

whole numbers are natual numbers but including 0

integers are whole numbers and also negative numbers

rational numbers are numbers that can be written in form a/b where b≠0

irrational numbers can't be written in form a/b, examples are like pi

real numbers are all of the abovee and more



26 belongs to the natural numbers set

You have 10 fish, 5 drown, 3 come
back to life. How many fish do you have? ...?

Answers

You have 7 fish still alive. 
You will still have 10 fish, as the state of the fish doesn't change the number of fish. (However, you will only have 8 alive fish).

What is the solution to the equation? 3q 5 = -2q 20
a. q = 3
b. q = 5
c. q = 15
d. q = 25

Answers

You're missing some operators there between the variable and the number which will change it drastically. I'll give you all the options.

3q+5=-2q+20

5q = 15

q=3

3q-5=-2q-20

5q = -15

q = -3

3q+5=-2q-20

5q = -25

q = -5

3q-5=-2q+20

5q = 25

q = 5

What is the value of p in the equation x2 = 12y?

Answers

I hope this helps you




x^2=3.4.y


p=3
3 is the answer !!!!!!!!

What is the approximate circumference of the circle shown below?


A.102.4 cm
B. 63.4 cm
C. 25.6 cm
D. 51.2 cm

Answers

Answer

Formula

[tex]Circumference\ of\ circle = 2\pi r[/tex]

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

[tex]Radius\ of\ the\ circle = \frac{16.3}{2}[/tex]

                                   = 8.15 cm

Put in the formula

[tex]Circumference\ of\ circle = 2\pi\times 8.15[/tex]

As

[tex]\pi = 3.14[/tex]

[tex]Circumference\ of\ circle = 2\times 3.14\times 8.15[/tex]

                                                 = 51.2 cm (approx)

Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}.[/tex] Option (D) is correct.

Further explanation:

The formula for the circumference of the circle can be expressed as follows,

[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]

The formula for the area of the circle can be expressed as follows,

[tex]\boxed{{\text{Area of circle}} = \pi {r^2}}[/tex]

Here, “r” represents the radius of the circle.

The relationship between the radius and the diameter can be given by,

[tex]\boxed{r =\dfrac{d}{2}}[/tex]

Here, “d” represents the diameter of the circle.

Given:

The options are as follows.

A.[tex]102.4{\text{ cm}}[/tex]

B.[tex]63.4{\text{ cm}}[/tex]

C.[tex]25.6{\text{ cm}}[/tex]

D.[tex]51.2{\text{ cm}}[/tex]

Explanation:

The diameter of the circle is [tex]16.3{\text{ cm}}.[/tex]

The radius of the circle can be obtained as follows,

[tex]\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}[/tex]

The radius of the circle is [tex]8.15{\text{ cm}}.[/tex]

The circumference of the circle can be obtained as follows,

[tex]\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}[/tex]

The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}[/tex].Option (D) is correct.

Option (A) is not correct as the circumference of the circleis  .

Option (B) is not correct as the circumference of the circle is  .

Option (C) is not correct as the circumference of the circle is  .

Option (D) is correct as the circumference of the circle is  .

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Circle

Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.

1.) If P = 2l + 2w, the formula to find w is _____
A.) w=P-21
B.) w=P/2-21
C.) w=2(P-21)
D.) w=(P-21)/2
2.)If P is 30 units and l is 10 units, w is units_____
A.) 5
B.) 10
C.) 15

Answers

I hope this helps you

Answer:

d and a

Step-by-step explanation:

What percent of 20 is 40??

Answers

Solve: 
x * 20 = 40 
20x = 40 
x = 40 / 20 
x = 2 
2*100 = 200%

Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55miles per hour, how many hours will it take him to get 3/4 of the way there?

Answers

Answer:

Using formula:

[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]

As per the statement:

Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55 miles per hour.

⇒Speed = 55 miles/hour and Distance = 440 miles.

We have to find how many hours will it take him to get 3/4 of the way there.

Distance to get 3/4 of the way there= [tex]\frac{3}{4} \cdot 440 = 3 \cdot 110 = 330[/tex] miles.

Substitute the given values we have;

[tex]\text{Time} = \frac{330}{55}[/tex]

Simplify:

Time = 6 hours.

Therefore, 6 hours will it take him to get 3/4 of the way there

What is √6/√5 in simplest radical form?

Answers

6√ cannot be reduced 6 cannot be reduced 6√≈2.449489742783178

5√ cannot be reduced 5 cannot be reduced 5√≈2.23606797749979

Hi i know this is late like by 2 years but for future people the answer is

[tex]\frac{\sqrt{30} }{\sqrt{5} }[/tex]

hope this helps other ppl

Convert pounds to ounces 12.6 pounds

Answers

its 201.6 ounces .

hope this helps you
1 lb = 16 oz.
so 12.6 lbs = 201.6 oz
so 12.6 multiplied by 16 gives you the answer

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Answers

(x-10)(x+9) =0
×=10 x=-9
10 + (-9)
= 1

Answer:

The value of a+b is 1.

Step-by-step explanation:

The given equation is

[tex]x^2-1x-90=0[/tex]

It is given that this equation has two solutions {a,b}.

First of all find the factors of given equation. The middle term can be written as -10x+9x.

[tex]x^2-10x+9x-90=0[/tex]

[tex](x^2-10x)+(9x-90)=0[/tex]

Taking out common from each parenthesis.

[tex]x(x-10)+9(x-10)=0[/tex]

[tex](x-10)(x+9)=0[/tex]

Using zero product property, we get

[tex]x-10=0\Rightarrow x=10[/tex]

[tex]x+9=0\Rightarrow x=-9[/tex]

The value of a is 10 and b is -9. The sum of both the solutions is

[tex]a+b=10-9=1[/tex]

Therefore the value of a+b is 1.

A 1250-kg slippery hippo slides down a mud-covered hill inclined at an angle of 18º to the
horizontal. If the coefficient of sliding friction between the hippo and the mud is 0.0900, what
force of friction impedes the hippo’s motion down the hill? ...?

Answers

The solution to the problem is as follows:

The force of friction can be calculated using the equation F = uN, where F is the magnitude of the force, u is the coefficient of friction, and N is the normal force. For an inclined plane at 18 degrees above the horizontal, the normal force is given by N = mg cos theta. Putting all the equations together,

F = umg cos theta
F = (0.09)(1250)(9.80) cos(18)
F = 1.05 kN

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Factor completely 3x3 + 12x2 + 18x.

x2 + 4x + 6

3(x3 + 4x2 + 6x)

3x(x2 + 4x + 6)

x(3x2 + 12x + 18)

Answers

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].

Here,

We have to find factor of [tex]3x^{3} + 12x^{2} + 18x[/tex].

What is Factor?

A number or algebraic expression that divides another number or expression evenly with no remainder.

Now,

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is,

⇒[tex]3x^{3} + 12x^{2} + 18x = 3x (x^{2} + 4x + 6x)[/tex]

Hence,

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].

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An experiment consists of rolling two fair(not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces.

Compute the probability of obtaining the indicated sums in problem.

Answers

Just regular dice, it has total possible outcomes. You will see there are 12 of them have a total of 4, if you would see.
So, the answer would be
12/36=1/3

the rest can also be obtained by counting. the probability you get a sum of 2 is

4/36

So, for a sum of 6 and the probability you get a sum of 3 and the probability you get a sum of 5 is 8/36

Final answer:

The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.

Explanation:

The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.

To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.

As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.

look for the horizontal asymptote of
(sin x)/(1 + cos x).

Answers

This function does not have horizontal asymptote.

The horizontal asymptotes are the values to which the function approaches as x becomes larger and larger (+/- infinity).

Then you have to find the limits of the function for x -> + and - infinity.

If the limit does not exist then there is not horizontal asypmtotes.

Indeed the limit of that function when x goes to +/- infinity does not exist, because the denominator will continue fluctating between 1 and 2, and the numerator will be fluctuating between -1 and 1.

This function fluctuates periodically from negative infinity to positive infinity, it does not have a limit when x grows so it does not have horizontal asymptotes.

Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.

What is the greatest number of bracelets she could buy?

Answers

Answer:

The answer is 63.

Step-by-step explanation:

50-12=38       38/.6 is equal to 63.333 you can't buy .333 of a bracelet so she will be able to buy 63 and have little money left.

The greatest number of bracelets she could buy will be 63.

What is the definition of inequality?

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

The total amount of money in my wallet =  $50.00

Cost of shirt = $12.00

Price of bracelet per piece = $0.60

Let x is the no of the bracelet;

The equation obtained as;

⇒The total amount of money in my wallet = Cost of the shirt + Price of the bracelet per piece × No of the bracelet

⇒50 = 12 + 0.60 x

⇒0.60 x = 50-12

⇒x = 38/0.60

⇒x= 63.333 ≈ 63 bracelet

Hence the greatest number of bracelets she could buy will be 63.

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I don't really know how to do this and I have to explain to my class how I got my answer. Help me!!!

Answers

234 i guest look on the web that what came up


Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla used an older lawn mower and takes 3 hours to mow the same lawn. How long will it take them if they work together?

Answers

So rates are the lower number of a fraction. 

So it would be:[tex] \frac{x}{3} + \frac{x}{2} = 1 [/tex]  Then cross muitply. 

2x + 3x = 6

5x=6 

x= [tex] \frac{6}{5} hours[/tex]

The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following optionsa.Only option A will allow them to meet their goal.b.Only option B will allow them to meet their goal.c.Both options A and B will allow them to meet their goal.d.Neither option A nor option B will allow them to meet their goal.

Answers

Option A. is the correct answer :)

The sum of two numbers is 26. When the second number is subtracted from the first​ number, the difference is 10. Find the two numbers.

Answers

The two numbers are 18 and 8. 18+8=26 and when you subtract them, 18-8=10.

Use the diagram below to answer the following questions.

The value of x is
The measure of 1 is
The measure of 2 is
The measure of 3 is
The measure of 4 is
The measure of 5 is
The measure of 6 is
The measure of 7 is
The measure of 8 is

Answers

Answer:

The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.

Step-by-step explanation:

If two line intersect each other, then vertical opposite angles are same.

[tex]3x+19=5x-29[/tex]                    (Vertical opposite angles)

[tex]19+29=5x-3x[/tex]

[tex]48=2x[/tex]

Divide both sides by 2.

[tex]24=x[/tex]

The value of x is 24.

Measure of angle 2 is

[tex]\angle 2 =3x+7=3(24)+7=79[/tex]                (Vertical opposite angles)

The measure of angle 2 is 79°.

Measure of angle 1 is

[tex]\angle 1 =180-\angle 2=180-79=101[/tex]           (Angle 1 and 2 are supplementary angles)

The measure of angle 1 is 101°.

Measure of angle 3 is

[tex]\angle 3 =180-\angle 2=180-79=101[/tex]           (Angle 3 and 2 are supplementary angles)

The measure of angle 3 is 101°.

Measure of angle 4 is

[tex]\angle 4 =4x+5=4(24)+5=101[/tex]                (Vertical opposite angles)

The measure of angle 4 is 101°.

Measure of angle 5 is

[tex]\angle 5 =\angle 2=79[/tex]                (Alternate Interior Angles)

The measure of angle 5 is 79°.

Measure of angle 6 is

[tex]\angle 5 =\angle 6=79[/tex]                 (Vertical opposite angles)

The measure of angle 6 is 79°.

Measure of angle 7 is

[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex]                 (Supplementary angles)

The measure of angle 7 is 89°.

Measure of angle 8 is

[tex]\angle 8 =\angle 7=89[/tex]                 (Vertical opposite angles)

The measure of angle 8 is 89°.

The length of the rectangle is 2(x+1) meters and the perimeter is 60 meters. Find the length of the rectangle

Answers

the answer is 120x because 2 times 1 equals 2 and x times 1 equals 1x add them up you get three then you multiple it by 60 and 3 times and should get 120 as the perimeter oh and add the x at the end 

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