Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.

4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7

Answers

Answer 1

Answer:

  C. 6

Step-by-step explanation:

You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.

Relation

The number (n) of boxes and the required empty space that can fit in the available space is ...

  8n +2 ≤ 56

  8n ≤ 54

  n ≤ 6 3/4

6 boxes will fit in the remaining space.


Related Questions

Consider this absolute value function.
f(3) = (+31
If function fis written as a piecewise function, which plece will it include?
A. -x- 3, x<3
B. -x + 3, x <-3
C. x+3, x >3
D. x+3, x>-3

Answers

Answer:

D

Step-by-step explanation:

f(x) = |x+3|=x+3   when x+3≥0 ⇒x≥-3

An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)

Answers

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

A rectangular library has a length of 54 feet and a perimeter of 172 feet.
What is the width, in feet, of the library?

Answers

Answer:

yes

Step-by-step explanation:

interest earned on both the principal and any previously earned interest?
a. compound interest
b. simple interest
c. interest rate
d. principal

Answers

Answer:

A. Compound Interest

Step-by-step explanation:

Compound interest is interest paid on both the principal and previously earned interest.

Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.

What is the rate of interest?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]

Therefore, option A is the correct answer.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

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the volume of a rectangle prism is 8cm height 4 width.​

Answers

Answer:

Step-by-step explanation:

2) A 0.4 kg ball moves in horizontal circle of radius 3 mat speed of 100m/s. What
is the centripetal force?
file the​

Answers

9514 1404 393

Answer:

  1333.3 N

Step-by-step explanation:

The centripetal acceleration is given by ...

  a = v^2/r

  a = (100m/s)^2/(3 m) = (10^4)/3 m/s^2

Then the force on the ball is ...

  F = Ma = (0.4 kg)(10^4)/3 kg·m/s^2 ≈ 1333.3 N

(F)x= -4x^2 - 8x - 8 find -3 • f(-1)

Answers

Answer:

12

Step-by-step explanation:

-3[-4 + 8 - 8] = -3(-4) = 12

Pleas help

Today is payday at your job at Toys R Us! You go to the bank to deposit your $150 check into your account. You receive a deposit slip. You decide to go to American Eagle. There you see a pair of jeans you like on sale for $39.99 from the usual $69.99. Wow! This is a steal! You pay the store attendant using your debit card, and you are the proud owner of a brand new pair of American Eagle jeans! With this scene in mind, Name the three uses of money and describe how each use is displayed in this scenario. Be specific.

Answers

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

Mrs. Miller and 8 of her closest friends are taking a
Yoga class. The total cost for the class is $78.75.
Write and solve a multiplication equation to show
the cost per person for the Yoga class.

Answers

Answer:

f f f f f ff  f f ff f f ff f  f f f f f

Step-by-step explanation:

Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?

Answers

Answer:

Wait u want me to answer your question or the Jono question? Or both?

Step-by-step explanation:

1. $6/5

Samir has collected 35% of the skins on Fortnite. If there are 300 total skins, how many more does he need to collect to be at 50%? Explain or show your work.

Answers

I believe its 45.

Its hard to explain but what I can say is if you subtract the percentage with the total of the skins you would subtract what you had from there and then you would have 45.

Answer:

I think 45

Step-by-step explanation:

Ms. Bohan drinks 3/5 of her drink from starbucks. What percent of her drink did she have?

Answers

Answer:

30%

Step-by-step explanation:

3/50 = 60/100

Answer:

u

Step-by-step explanation:

2. WHICH EXPRESSIONS ARE EQUIVALENT TO 6X?
SELECT ALL THAT APPLY
5X+X
3X+3
5+X
9X-3
X+X+4X

Answers

Answer:

5x+x and x+x+4x

Step-by-step explanation:

5x+x is basically 5x+1x which is 6x since x has an "invisible one" in front of it.

x+x+4x is 2x+4x which is 6x

hope this helps. :)

Answer:

4 and 5

Step-by-step explanation:

9x - 3 is 6x

5x + x can be 6x because there's is a x next to it that means it can be any number so if the number is suppose to become 6x we need to add 1 to both sides, and the a swer will be 6x.

sorry of wrong.

what is the area of the composite figure

Answers

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

PLEASE HELP ME ON THIS

Answers

9514 1404 393

Answer:

  (d)  $775.50

Step-by-step explanation:

The parallelogram on the left has an area of ...

  A = bh = (4 yd)(2 yd) = 8 yd²

The rectangle in the middle has an area of ...

  A = lw = (6 yd)(4 yd) = 24 yd²

The triangle on the right has an area of ...

  A = 1/2bh = 1/2(1 yd)(2 yd) = 1 yd²

The total area of the carpet is ...

  (8 + 24 + 1) yd² = 33 yd²

__

At $23.50 per square yard, the cost is ...

  ($23.50/yd²)(33 yd²) = $775.50 . . . . . matches the last choice

In the box below, enter the value that is missing from the table.

Answers

Answer: 8

Step-by-step explanation:

Answer:

the value that is missing from the table is 8.

Perform the indicated operation (x-3y)(3x-11y)

Answers

Answer:

[tex]3x^{2} - 20xy + 33y^{2}[/tex]

Step-by-step explanation:

[tex](x-3y)(3x-11y)\\3x^{2} - 9xy - 11xy + 33y^{2} \\3x^{2} - 20xy + 33y^{2}[/tex]

Convert. 7 oz. = ____ lb.
Plzzzzzzzzzzz help

Answers

Answer:

0.435 pounds

Step-by-step explanation:

There are 16 ounces in one pound. Use that conversion to find your answer.

Answer:

7oz=0.4375lb

Step-by-step explanation:

i hope this helps

have a nice night

mark brainliest please :)

Subtract 2/3 and 1/4. ​

Answers

Answer is 5/12 there is the work hope this helps

Answer:

5/12

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator, you must multiply to the numerator as well. The common denominator is 12:

(2/3) * (4/4) = (8/12)

(1/4) * (3/3) = (3/12)

Subtract:

(8/12) - (3/12) = (8 - 3)/12 = 5/12

5/12 is your answer.

~

Do mice show a preference for using one paw over the other? Attempting to answer this question, a researcher tested a random sample of 48 mice and observed which forepaw (right or left) the mice used to retrieve food from a narrow tube. Eighteen of the mice used their right paw, while the rest used their left paw.
Does this data suggest that mice show a preference towards one paw over the other? Carry out the appropriate test and include all steps for full credit.
During the course of the experiment, the researcher noticed that individual mice sometimes switched which forepaw they used to retrieve the food. So she repeated this study on the same 48 mice, but measured each one 10 times and she recorded which forepaw was used each time. With her new dataset of 480 observations, would you be able to run the same analysis as in part (a)? If so, carry out the analysis and compare the results. If not, why not?

Answers

Answer:

It all depends on the food they are going for, just like humans, mice have instincts. For example, if you were falling forward, which foot would you put out? Most likely the opposite one. I hope this helps you!

Step-by-step explanation:

Using hypotheses testing,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

We have,

(a)

To test whether the data suggest that mice show a preference towards one paw over the other, we can use a one-sample proportion test.

The null hypothesis (H0) is that the proportion of mice that use their right paw is 0.5 (indicating no preference towards one paw over the other).

The alternative hypothesis (Ha) is that the proportion of mice that use their right paw is different from 0.5 (indicating a preference towards one paw over the other).

We can use a significance level (alpha) of 0.05.

To conduct the test, we can calculate the test statistic using the formula:

z = (p - 0.5) / √(0.5 x 0.5 / n)

where p is the proportion of mice that use their right paw, and n is the sample size.

Using the given data, we have:

p = 18/48 = 0.375

n = 48

Plugging in the values, we get:

z = (0.375 - 0.5) / √(0.5 x 0.5 / 48) = -1.714

Using a standard normal distribution table or calculator,

We can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as -1.714 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.0869.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that mice show a preference towards one paw over the other, based on the given sample.

(b)

With the new dataset of 480 observations, we can still conduct a similar analysis using a one-sample proportion test.

However, since each mouse was measured 10 times, the observations are no longer independent.

Therefore, we need to use a different test that accounts for the dependency between observations, such as McNemar's test.

McNemar's test is a test of the marginal homogeneity of a two-way table, where the same subjects are measured twice on a binary outcome.

In this case, we can create a 2x2 contingency table of the number of times each mouse used their right or left paw, and conduct a McNemar's test on this table.

The null hypothesis for McNemar's test is that there is no difference in the proportions of mice that use their right or left paws.

The alternative hypothesis is that there is a difference.

To conduct the test, we can calculate the test statistic using the formula:

chi-squared = (|b-c|-1)² / (b+c)

where b is the number of mice that used their right paw more often, and c is the number of mice that used their left paw more often.

Using the given data, we have:

b = 214

c = 244

Plugging in the values, we get:

chi-squared = (|214-244|-1)² / (214 + 244) = 2.417

Using a chi-squared distribution table or calculator with 1 degree of freedom (since we have a 2x2 table), we can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as 2.417 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.119.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that there is a difference in the proportions of mice that use their right or left paws, based on the new dataset.

Thus,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

Learn more about the hypotheses test here:

https://brainly.com/question/28331914

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By next year , 2,125 students are expected to be enrolled in a county's middle schools . This is 25 % of the total student population . What is the total student population ?

Answers

You can find the total by multiplying 2125 by 4. So the answer is 8,500


subtract the fractions
7/39 1/42

Answers

Answer:

7/39-1/42= 85/546

Step-by-step explanation:

so its 85/546

Answer:

7/39 1/42

so it's 85/546

Please help me


Grade is 6th or 7th

Answers

Answer:

1 a)8 miles per hour 1 b) 1 hour and 90 minutes  2 a) 24 hours and 6minutes  2 b) 3hours 3 a) 260 hours and 45 minutes 3 b) 40 minutes

Step-by-step explanation:

I don't know for sure if this is all correct but at least you'll have something to write down

Answer:

1a. 8 miles per hour

1b. 32 km per hour

2a. 28 miles

2b. 3 hours

3a. 2925

3b. 1/4 hour or 15 minutes

Step-by-step explanation:

For number 1a, think of 2 1/2 hours equals 20 miles as 2 1/2x=20. The x being hours, and the 20 being 20 miles. You want the equation to become x=?. So you divide 2 1/2x=20 by 2 1/2 to make the equation start with x=. You end up with x=8. Or you could just think of it as divide 20 miles by 2 1/2 hours. Either way, you end up with 8 miles per hour. For number 1b, you do the same thing as before, but you have to make 4 hours and 45 minutes a fraction. So, the are 60 minutes in an hour, so the fraction would be 45/60. Then you simplify that down to 3/4. So, 152 km divided by 4 3/4 is 32 km per hour.

For number 2a, set aside 30 minutes for now. She can go 24 miles in 3 hours. Because 8 miles times 3 hours equals 24 miles. It’s like instrad of 8 miles per hour, it’s 24 miles per 3 hours. Then, because 30 minutes is half of an hour, 8 divided by 2 would make it 4 miles per half an hour. So 24 plus 4 is 28 miles. For number 2b, you want to know how many hours it took to travel 1980 miles. Since you already knowmthat is takes one hour to go 660 miles, pretend that each 660 miles is one hour. So you divide 1980 by 660 so see how many one hours fit. You get 3. So, an airplane can fly 1980 miles in 3 hours.

For number 3a, like 2a, you basically multiply the constant speed by the full hours then the fraction, and add them together. You could also just multiply the constant speed by the number 3 3/4. That way you get the miles per 3 3/4 hours. 3 3/4 times 780 is 2925. So the plane can fly 2925. For number 3b, to get the 2 miles per ? hours, you have to divde 8 by 4 to get to 2. So you divide 1 hour by 4 to get the answer. So it’s 1/4, (one fourth of an hour) or 15 minutes 1/4 of 60 (the amount of minutes in an hour) for Mary to go 2 miles.

if -2x + 3 = 7 and 3x + 1 = 5 + y, the value of y is

Answers

Answer:

value of y is -10

Step-by-step explanation:

-2x+3=7     equation 1

3x+1=5+y    equation 2

by eq 1

-2x=7-3

-2x=4

x=-2

put value of x in equation 2 to get value of y

3(-2)+1=5+y

-6+1=5+y

-5=5+y

-5-5=y

y=-10

Draw a histogram for the intervals 16-18, 19-21, 22-24, and 25-27 using the following data: 26, 16, 22, 27, 20, 24, 21, 27, 22, 21, 26, 27, 23, 20, 16, 17, 27, 19, 17, 17

Answers

Answer:

Step-by-step explanation:

Class Interval             Variate         Frequency

16-18                              16                     1

19-21                               0                     0

22-24                               0                    0

25-27                              26,27              2

Answer:

A

Step-by-step explanation:

right on edge 2021

If I said you needed to pick up a number that was less than 7 or a number greater then 5 what would be the solution

Answers

Answer:

6

Step-by-step explanation:

the only number between those to is 6

The answer is 6 because that is the only number between 5 and 7

POSSIBLE POINTS: 5
Taina found the area of a table in the shape of a trapezoid. The height of the trapezoid is 10 ft, base one is 6 ft and base two is 5 ft. Taina says the area of the figure
is 110 square foot inches. What mistake did Taina make? What is the actual answer?

Answers

9514 1404 393

Answer:

wrong formulawrong units

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(6 ft +5 ft)(10 ft) = 55 ft²

The numerical value of the answer would be 110 if we "forgot" to multiply by 1/2.

The area units would be "square foot inches" if inch dimensions crept into the problem somewhere.

It looks like Taina made two mistakes:

didn't correctly use the correct formuladidn't pay attention to area units

I need help with this plz

Answers

Answer:

-5.3, -5/2, 72%, sqrt52, then 49

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64% had a household income of at least $50,000. Forty-three percent of voters from house-holds making less than $50,000 voted for the Republican party in the election, while 55% percent of voters from households making at least $50,000 voted Republican. What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000

Answers

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

[tex]P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068[/tex]

Republican and from a household that makes at least $50,000.

55% of 64%. So

[tex]P(A \cap B) = 0.55*0.64 = 0.352[/tex]

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946[/tex]

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

HELP PLEASE PLEASE ASAP

Answers

9514 1404 393

Answer:

  150 square units

Step-by-step explanation:

Each of the six squares has an area of 5×5 = 25 square units. (You can count them, if you wish.)

Then the total area is ...

  6×(25 square units) = 150 square units

Other Questions
Which of the following statements best describes the representation of women and minorities in the U.S. Congress?a.Since the mid-1990s, the number of women and minorities in Congress roughly reflects their proportions in the general population.b.Representation of women and minorities has increased over the past two decades but is not comparable to their proportions in the general population.c.Women are underrepresented in Congress, but there is a disproportionate representation of minorities in Congress.d.Representation of women and minorities has decreased by one-third since the 1970s. What is the factored form of this expression 6x2 5x 6 )(? Restatements of law can best be described as _________Multiple choiceA. laws that are restated according to what each state believes the law should be.B. summaries of common law rules in a particular area of the law that have been enacted by most states.C. restatements of classical cases that are still used today.D. laws that are followed at the federal level and forced on the states to follow.E. summaries of new statutes that are implemented by states each year. Does the central bank fully control the money supply? Which of the following reflects the ideas expressed in Federalist, no. 10 when addressing the concerns presented by Brutus I?A. ***The court system would be an important check on the growing power of the states.B.The House of Representatives would be the primary champion of executive power.C.States would be allowed to override those aspects of federal law they disagreed with.D. The federal government would protect rights by balancing democracy and republicanism. within situational control, the power to make work assignments and reward and punish is called ____ power. Was the bank holiday successful? 4. Caroline baked cookies from a recipe that called for 2 cup of sugar. She planned to triple the recipe.How much sugar did she need? How does Scrooge's attitude to ghosts and spirits change during the novel? What are three main points that the author uses to support his argument? How do you convince someone to testify? KNOWLEDGE CHECK Below is a table for the Steel Producers Dashboard, which shows the sources of demand for steel products globally. Given the data, which of the following would be of most interest to prospective investors in steel? A city investing $500 million to replace its train infrastructure The prevalence of new laws around construction equipment safety The 10% increase in U.S. Ford truck sales in the last quarter The impact of China's recession on the commercial real estate market Click to open/close chart < PREV SUBMIT Bloomberg Intelligence 10/2018 9/2018 8/2018 PO USO 1/2018 . 6/70- 1.303,0 1,79 Actions. Directory Export Settings Steel Producers Dashboard (BI ISTLG) Research Demand Analysis China Downstream Demand Dashbd Home View 12 Honths . Growth one Industry Name Company Global Steel Demand Analysis on End-users Credit World Steel Demand Government Construction (-495 of demand) Litigation U.S. Data Library U.S. Housing Permits Market Share U.S Housing Starts ('000 Units) Macro W Dodge Construction Index Industry Canada Company Canada Housing Starts ('000 Units) Analyzer STCA Canada Construction NSA Valuation China Credit Commercial Real Estate Cost Analysis Commercial Space Under Const Demand Analy Commercial Space Completed Contributors Commercial Building Space Sold Monitor Residential Real Estate News/Research Mechanical Engineering (w171 of deman. Events Automotive (-81 of demand) Comp Sheets Other Transport (-48 of demand) Markets Eledical equipment & Misc (-231 of de.. Domestic annliance (35 of demand) 1,265.0 1,209.0 179.0 1.270.0 1.237.0 150.0 1.249.0 1.280.0 157.0 173.00 19 213.1 1,502.4 191.1 1,513.1 198.3 1,490.7 2022 1.499,9 24 1,50 7,8M3 573. 9 1,331.2 7,672.2 5113 1.193.1 7,476.6 4623 1,024.7 420.7 899.9 37 77 For a voluntary monetary gift for 15 to 20 percent of the cost of the wine for the wine steward is an example of which of the following? A break in a blood vessel occurs and damaged cells release chemicals to begin the process of blood clotting. As clotting gets under way, signals are sent by cells for each step to release more chemicals that accelerate the process. Eventually the wall is patched and bleeding is stopped. While the cells are signalling, what type of feedback is occuring?a.This process is not controlled through feedback.b.Positive and negative feedback are occuring together.c.Positived.Negative On average, San Diego, California, has milder winters and cooler summers than Dallas, Texas. This is an example of a difference in climate.TrueFalse Which of the following statements correctly describes the facts about introns and exons? Why was William Johnson important? Summarize the expectations of citizens living in a democracy. What caused Hamlet's madness? Solve the equation for x