12) Twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100

pounds. Write and solve an absolute-value inequality for the possible weights of a

cubic foot of marble.

Answers

Answer 1

Answer:

Let's suppose that one cubic foot of marble is x.

20x = 3400

But because the weight has a range of +-100, then 20x is between 3300 and 3500. Write it like this:

3300<20x<3500

Divide by 20:

165<x<175

The meaning of this is that one cubic foot of marble weight between 165 and 175 pounds

Answer 2

The obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.

Given that, twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100 pounds.

What is an absolute-value inequality?

Absolute value inequalities are inequalities in algebra that involve algebraic expressions with absolute value symbols and inequality symbols. In simple words, we can say that an absolute value inequality is an inequality with an absolute value symbol in it. It can be solved using two methods of either the number line or the formulas. An absolute value inequality is a simple linear expression in one variable and has symbols such as >, <, ≥, ≤.

Now, the weight has a range of ±100, then 20x is between 3300 and 3500.

That is, 3300<20x<3500

Divide the inequality by 20.

So, 165<x<175

Therefore, the obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.

To learn more about an absolute-value inequality visit:

https://brainly.com/question/4688732.

#SPJ2


Related Questions

What is 9.1% of 80? Round to the nearest hundredth (if necessary).

Answers

Answer:

7.28

Step-by-step explanation:

Answer: 7.28

Step-by-step explanation:

Favorite type of music, choose the correct level of measurement

Answers

Answer:

The answer is "Nominal"

Step-by-step explanation:

Some of the data is missing which is defined in the attached file. please find it.

The standard measuring degree is nominal for the favorite type of music because the type of music it can be listening for depends on a variety of factors, like age, social or local environment, etc, and the wrong choice can be defined as follows:

It is wrong because the Ordinal does have a nominal or measuring element, however, the name system allows a ranked or a specific series of variables for all the variables to also be organized.  The ratio has the structure infections rate property, as well as the quantities ranges of the variable, provide value, that's why it is incorrect. It is wrong because the internal has the property of ordinal level rate as well as the vector values have significance.

The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charged $6 for each car.

Which of the following expressions represents the money they raised for their trip?

Answers

Answer:  $415

Step-by-step explanation:  75 x $6 = 450.  450 - 35 = 415

10 gallons equals how many liters

Answers

37.8541

roll another one

a.
b.
Select the following statement that is true
about shape a and shape b.

Answers

The answer is Similar

104 percent of 102 is what

Answers

Answer:

106.08

Step-by-step explanation:

Answer:

106.08 percent

what is 4 fourths of a dollar

Answers

Answer: The answer is 25%

Step-by-step explanation:

on the day of the test, Rebeccas instructor says that the test will be to attempt 25 vases

Answers

19.
Solve 75% of 25 and round to nearest whole number.

Answer the question marks, and tell me what sequence number 8 is.

Answers

Answer:

f[1] = 60; f[n+1] = f[n] -30f[n] = 60 -30(n-1)

Step-by-step explanation:

You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.

Recursive equation

  f[1] = 60; f[n+1] = f[n] -30

__

Explicit equation

The general form of the explicit equation is ...

  f(n) = f(1) +d(n -1)

Here, we have f(1) = 60 and d = -30, so your equation is ...

  f(n) = 60 -30(n -1)

A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to water?
2 to 9
3 to 8
3 to 9
9 to 3

Answers

Answer:

c.  3 to 9

Step-by-step explanation:

It was right on edg 2020

Write the standard form of the line that passes through (-1,-3) and (2,1).

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

is 2.4444 rational or irrational

Answers

Answer:

Rational.

Step-by-step explanation:

Irrational are these.

[tex]\sqrt{2} , \sqrt{5}[/tex] ,π

Yes, the given number is a rational number.

What are rational numbers?

Rational numbers are numbers that can be written in the form p/q, where p and q are integers and q≠0.

Given that, a number 2.4444...

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Hence, 2.4444 is a rational number.

For more references on rational numbers, click;

https://brainly.com/question/24398433

#SPJ2

Find the difference of -4 -(5)

Answers

The answer is -9

-4 - 5 = -9

the answer is -4-(5)= -9

what is the answer for this problem 1+1

Answers

Answer:

2

Step-by-step explanation:

It’s 2 but it can be 11 if u take away the + sign lol

2+x^2=18
Help please

Answers

Answer:

2+x^2=18 = 2+4^2=18

Step-by-step explanation:

Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.

i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28

Answers

Answer:

1/3 in decimal format is .333333333333... so none of these are correct

integral of x+2/
[tex] \sqrt{x { + 2x + 3}^{2} } [/tex]

Answers

Looks like the integral should be

[tex]\displaystyle\int\frac{x+2}{\sqrt{x+(2x+3)^2}}\,\mathrm dx[/tex]

Expand the denominator:

[tex]\displaystyle\int\frac{x+2}{\sqrt{4x^2+13x+9}}\,\mathrm dx[/tex]

Notice that

[tex]u=4x^2+13x+9\implies \mathrm du=(8x+13)\,\mathrm dx[/tex]

In order to use this substitution, expand the integral as

[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx+\frac38\int\frac{\mathrm dx}{\sqrt{4x^2+13x+9}}[/tex]

In the first integral, use the previously mentioned substitution:

[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx=\frac18\int\frac{\mathrm du}{\sqrt u}=\frac14\sqrt u[/tex]

[tex]=\dfrac14\sqrt{4x^2+13x+9}[/tex]

In the second integral, complete the square in the denominator:

[tex]4x^2+13x+9=4\left(x+\dfrac{13}8\right)^2-\dfrac{25}{16}[/tex]

Now substitute

[tex]x=\dfrac58\sec t-\dfrac{13}8\implies\mathrm dx=\dfrac58\sec t\tan t\,\mathrm dt[/tex]

so that

[tex]\sec t=\dfrac{8x+13}5[/tex]

Then

[tex]4x^2+13x+9=\dfrac{25}{16}(\sec^2t-1)=\dfrac{25}{16}\tan^2t[/tex]

and the integral becomes

[tex]\displaystyle\frac{\frac{15}{64}}{\frac54}\int\frac{\sec t\tan t}{\sqrt{\tan^2t}}\,\mathrm dt=\frac3{16}\int\sec t\,\mathrm dt[/tex]

[tex]=\dfrac3{16}\ln|\sec t+\tan t|[/tex]

[tex]=\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|[/tex]

So, the integral is

[tex]\dfrac14\sqrt{4x^2+13x+9}+\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|+C[/tex]

Describe how each model can help you round a decimal.
You

Answers

You didn’t put a picture so I’m not sure

What is another nonterminating decimal number that can not be written as a fraction?

Answers

Answer:

  0.6066066606666066666...(increasing numbers of 6)

Step-by-step explanation:

One way to make a decimal non-repeating is to extend a pattern by one digit each time you write the pattern. That is the structure of the number Sophia and Nora are looking at. It is also the structure of the number in your question ...

  https://brainly.com/question/17546271

__

Any irrational number will have a non-repeating decimal: √2, for example.

Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.

Answers

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

A rectangular rug measures 8 feet long and 12 feet wide

Answers

Can I ask what if the question then I’ll help

40 fewer than a number t
0 40-t
Ot+40
O -400
O t-40

Answers

Should be the last one t-40

Answer:

The answer is the last one - t-40

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)

Answers

Answer:

See below

Step-by-step explanation:

Given:

f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7

Combination of domain for the function is the following union:

(-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

Group of answer choices:

The domain is the depth interval (−26, 1).

incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

This is correct as it is same with the domain set we got above.

In the 2019 NBA Eastern Conference semi‐finals, Philadelphia 76ers (PHI) played the (eventual 2019 NBA Champion) Toronto Raptors (TOR) in a best‐of‐7 series where the first team to win 4 games wins the series. Assume that the outcome of each game is independent. (a) Assuming that either team has a win probability of 0.5, what is the probability that after the first 4 games, the teams would be tied 2‐2? Clearly show all your steps.

Answers

Answer: 0.375

Step-by-step explanation:

Given the following :

Both teams have an equal probability of winning = 0.5

Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).

This problem can be modeled using a binomial probability :

P(x) = nCx * p^x * (1-p)^(n-x)

x = number of successes = 2

P = probability of success = 0.5

(1-p) = probability of failure = 0.5

n = number of trials = 4

P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)

P(x = 2) = 6 * 0.5² * 0.5²

P(x = 2) = 6 * 0.25 * 0.25

P(x = 2) = 0.375

the inequality 13q<7q-29 and write the solution in fraction formats and interval notations

Answers

Answer:(-infinity,-29/6)

Step-by-step explanation:

Interval notation of this problem.

please show work 3[x+4]+4x= -2

Answers

Answer:

x=-2

Step-by-step explanation:

3[x+4]+4x=-2

The 3 multiplies x and 4

3x+12+4x=-2

Group like terms

3x+4x=-2-12

7x=-14

Divide through by 7

7x/7=-14/7

x=-2

Hi I am totally confuse with this math can you please help
thank yo I will give you the brainlest I aapreciate any help

Answers

Answer:

#5 is b) -250, -200, 0, 300

Step-by-step explanation:

Assume that the standard deviation of daily returns for Marcus, Inc. stock in a recent period is 1.5 percent. Furthermore, a 95 percent confidence interval is desired for the maximum loss. Daily returns are normally distributed, and the expected daily return is 0.05 percent. What is the lower boundary of the maximum expected loss

Answers

Answer:

= - 2.43%

Step-by-step explanation:

From the information given:

Since the variable (daily returns) is normally distributed, Then, using empirical rule at 95% confidence interval level, we have:

[tex]( \mu - 1.96 \sigma \ , \ \mu + 1.96 \sigma)[/tex]

where;

The expected mean daily return [tex]\mu = 0.05 \%[/tex]

The standard deviation [tex]\sigma = 1.5\%[/tex]

Given that the 95% confidence interval is expected to be a maximum loss, then the probability is left-tailed which is 1.65[tex]\sigma[/tex] away from the average.

Thus the distribution of the lower boundary can be computed as:

= [tex](0.05 - 1.65 \times 1.5)\%[/tex]

= [tex](0.05 - 2.475)\%[/tex]

= [tex]( - 2.425)\%[/tex]

= - 2.43%

please help me with this question! WILL MARK BRAINLIEST

Answers

Answer:

as reference angle is a

h=5

b=3

p=4

sinA= p/h= 4/5

cosA= b/h= 3/5

tanA= p/b=4/5

Step-by-step explanation:

Step-by-step explanation:

[tex]sine \: A = \frac{4}{5}\\\\

cosine \: A = \frac{3}{5}\\\\

tangent \: A = \frac{4}{3}\\\\[/tex]

plz help me with these two questions ( show work plz)​

Answers

Step-by-step explanation:

3. 7 = -2y + 4

2y = 4 - 7

2y = -3

y = -1.5

5. -3x - 2 = -17

17 - 2 = 3x

15 = 3x

3x = 15

x = 15/3

x = 5

Other Questions
why is the tongue considered an organ? n-8=-4+5n solve for n. ariel Is making bracelets to sell at the stand during her school fall festival. she bought 15 1/6 and long and a 12 1/3. if each bracelet requires 1/2 of a foot of a string how many bracelets can aerial make Help solve this problem what are 5 physical changes in matter Which acid and base react in the formation of salt sodium chloride? (A. hydrochloric acid and sodium hydroxide (B. sodium carbonate and chlorine (C. sodium hydroxide and sodium chloride What is the approximate percentage of December's total sales that skateboards accounted for? A. 27% B. 73% C. 56% D. 17% Assessment3/10Imagine you've used your own money to develop your business idea. Now you need morefunding to keep growing. Which financing method would be available to you at thisstage?A. Debt financingB. Angel investingC. Venture capitalD. Going public All of the following are parts of a report except: por un tiempo, pero despues de poco tiempo _______ (acostarse) y _______ (dormirse) porque no es un libro muy bueno A companys assets consist of $254,478 of cash, $579,445 of accounts receivable, $487,009 of inventory, and $2,478,554 of plant and equipment. Its liabilities consist of $332,887 of accounts payable, $139,877 of accruals, and $1,275,000 of long-term debt. The companys annual sales are $4,765,889, it paid $165,750 of interest, its earnings before taxes are $453,816, and its net income is $272,289. In its industry, the average profit margin is 6.83%, the average total asset turnover is 1.25, and the average equity multiplier is 1.85. Using DuPont analysis, determine if the companys return on equity is above or below the industry average and what factor causes the difference? Express in simplest form: 12 (2 + ) (4 + ) Need help with this question using dimensional analysis Correct me if Im wrong please HELP!!! Is the relationship a function? After the War of 1812, which political party was the only national party and how long did it have power? In your own words, write a verbal expression for the following algebraic expression.18p Find the midpoint of points A(-3,9) and B(0, 1) graphically. The measure of angle Whats the slope? Please answer ASAP