Write and solve an absolute value inequality.
18. Students are guessing the number of jelly beans in a jar. Each student who guesses
within 15 of the correct amount will win a prize. The correct amount of jelly beans in the
jar is 389. Write and solve an absolute value inequality to represent this situation.
Express your solution as a compound inequality.

Answers

Answer 1

Compound inequalities are used to combine several inequalities

The solution as a compound inequality is [tex]374<x <404[/tex]

Assume the correct amount of jelly beans in the jar is x.

15 away from x can be represented as 15 - x or x - 15

The correct number of jelly beans is given as 389.

So, when the statement is represented as an absolute inequality, we have:

[tex]|x - 15| < 389[/tex]

Express as compound inequality:

[tex]389 - 15<x <389 + 15[/tex]

Evaluate like terms

[tex]374<x <404[/tex]

Hence, the solution as a compound inequality is [tex]374<x <404[/tex]

Read more about compound inequalities at:

https://brainly.com/question/1851664


Related Questions

Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?

Answers

Answer: Karen has 20, Trey has 15, Dante has 40

Step-by-step explanation:

Karen=x+5    Trey=x     Dante=2x+10

            x+x+5+2x+10=75

                 4x+15=75

                   4x=60

                     x=15

last month, a store sent 2,014 emails to customers about sales. the number of e-mails sent the month before was 2,104. Use one of the symbols <, >, or = to compare the two numbers to compare the two numbers of e-mails sent. Explain how you used the digits to determine your answer

Answers

Answer:

Last month (2,014) = (2,014) Month before last month

Your answer would be 2,014 = 2,014

The digits are all the same. Therefore, I concluded that the numbers were the same. This means that a equal sign should be used.

Hope this helps. Pls mark brainliest. :S

Simplify (2x + 5y) + (3x - 2y) ​

Answers

Answer:

5x + 3y

Step-by-step explanation:

Combine Like terms: 2x + 3x = 5x

                                   5x + (5y - 2y) = 3y

                                    Ans: 5x + 3y

                                   

y = 3 tan(x2 + 5) [using Chain Rule]​

Answers

Answer:

6x sec2 (x2+5) the number to are in the top of x a c.

Find the center and radius of the circle with the equation: (x=5)2 +(4-2)3-25

Answers

Answer:

center = (5 ,-3) and radius = 5

Step-by-step explanation:

Write as the opposite of a square root. -3√5

Answers

Answer:

3x5² is the opposite of ur uestion

The value of -3√5 as the opposite of the square root is -75.

What is square root?

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.

Given:

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

To know more about square root:

https://brainly.com/question/9459418

#SPJ2

What is 8 hours and 37 minutes converted into minutes?

Answers

Answer:

517 minutes

Step-by-step explanation:

Hope this helps:))

Answer:

517 mins

Step-by-step explanation:

1hour=60min

8hour=480min

37min is the same because it is already in minutes

480+37=517mins

From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?

A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11

please only reply if you know the answer!!

Answers

Answer:

a

Step-by-step explanation:

(x-2)(x-11) less than or equal to 0

which means x is between 2 and 11 when it is less than 0

Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?


PLEASE SHOW YOUR WORK

Answers

Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.

She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.

To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.

It is done factoring them using prime factors, then:

4 - 6 - 16|2

2 - 3 - 8|2

1 - 3 - 4|2

1 - 3 - 2|2

1 - 3 - 1|3

1 - 1 - 1

Hence:

lcm(4,6,8) = 2x2x2x2x3 = 48

She will do all the three activities again on the same day again in 48 days.

To learn more about the least common factor, you can take a look at https://brainly.com/question/25924269

Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get

Answers

Answer:

67 quarters

Explanation:

Write each expression in terms of sine and​ cosine, and then simplify so that no quotients appear in the final expression and all functions are of x only.
[tex]\frac{csc^2 (-x)-1}{1-cos^2 (-x)}[/tex]

Answers

[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]

Find the 57th term of the arithmetic sequence -13,-29,-47,….

Answers

Answer:

answer -909 photo with solution is attached

List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT

Answers

There are 8 factors of 40, which are 1, 2, 4, 5, 8, 10, 20 and 40.

Answer:

1,2,4,5,8,10,20,40

Step-by-step explanation:

Have a nice day

Apply the zero product property to solve the equation below:
x (x + 2) = 0

Answers

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

Need some help in this please

Answers

Answer:

∠GHD is 85°

Step-by-step explanation:

180°-95°

85°

please help me on this​

Answers

Answer:

10/9

Step-by-step explanation:

SOEMONE PLEASE TELL ME DID I CLICK THE RIGHT ONE
PLEASE PLEASE HELP ME

Answers

Answer:

Yes.

Step-by-step explanation:

I had a problem just like this and you are correct.

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth

Answers

Answer:

254

Step-by-step explanation:

63.5 ÷ 0.25 =

= 63.5 ÷ 1/4

= 63.5 × 4

= 254

Answer: 254.

Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer

Answers

Answer:

  525

Step-by-step explanation:

The demand at a price of 205 is ...

  Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

  Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

  1575 -1050 = 525

The shortage is 525 units.

GUY HELP DID CLICK OF THE RIGHT ONE ?

Answers

Answer:

c

Step-by-step explanation:

it just is that's the right book

When h = π, the orange graph shifts
units to the
.

Answers

Answer: it shifts units to the right.when h=-π it shifts units to the left

Step-by-step explanation: positive pi goes to the right, negative to the left

Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?

Answers

Answer:

56study hard watch your book for 20 minute and look....this is a hint

it's C. y = 1/2x + 2

Answers

Answer: what are you asking im lost

Step-by-step explanation:

Can someone please explain step by step on how I get my answer of [30% of 15?]

Answers

Answer: 4.5

Step-by-step explanation:

30% is equal to 30/100, which is 0.3

If you times 0.3 by 15, you will get 30% of 15

Therefore the answer would be 0.3 x 15 = 4.5

Draw two lines with a slope of 1 / 2. What do you notice about the lines?

Answers

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

The lines 1/2 should be parallel lines :)

9x2+8x(5x-4) simplify

Answers

Answer:-14x + 40x² is the answer.Step-by-step explanation:9x(2) + 8x(5x - 4)=> 18x + 8x(5x-4)=> 18x + 40x² - 32x=> -14x + 40x²Conclusion:

Therefore, -14x + 40x² is the answer.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

what is the expression to 50 times the sum of 64 and 36

Answers

Answer:

50(64+36) this would be your answer

50 x (64+36)

Step-by-step explanation:

According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.

Malika knows that 230 - 39 = 191.
How can she use that to help her solve 233 - 42 = ?
Use the space and/or the lines below to answer.

Answers

Answer:

she has to minus just as she did before.

Step-by-step explanation:

230-39=191

233-42=191

the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye

Answer:

See below

Step-by-step explanation:

She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.


[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]

Answers

Answer:

[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]

The answer would be C and F

Answer: 1 & -5

Step-by-step explanation

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