A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils? Show your reasoning. All the pencils have the same width. How wide is each pencil? Show your reasoning.

Answers

Answer 1

Answer:   Width of box is not taken up by pencils =  [tex]2\dfrac58\text{ inches}[/tex]

Width of each pencil [tex]=\dfrac38\text{ inches}[/tex]

Step-by-step explanation:

Given: Width of pencil box = [tex]5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}[/tex]

Width of seven pencils = [tex]2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}[/tex]

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

[tex]\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}[/tex]

Width of box is not taken up by pencils =  [tex]2\dfrac58\text{ inches}[/tex]

Width of each pencil = (Width of seven pencils ) ÷ 7

[tex]=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}[/tex]

Width of each pencil [tex]=\dfrac38\text{ inches}[/tex]


Related Questions

)Hannah's electricity company charges her $0.15 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $25.00 per month. Write a linear function that models her monthly electricity bill as a function of electricity usage.

Answers

Answer:

Linear function: y = 24x + 25

Step-by-step explanation:

24 hours = 1 day

30 days = 1 month

0.15 x 24 = 6

30 x 6 = 180

180 + 25 = 205

Linear function: y = 24x + 25

Hope this helps! :)

How long is 70% of 60 mins

Answers

Answer:

140%of minutes

Step-by-step explanation:

Answer:

42 minutes

Step-by-step explanation:

Drag and Drop. Determine whether the following descriptions belong to countries with a limited government or unlimited government.

Answers

Answer: unlimited: the military attacked a group of peaceful protesters fighting for the night to form professional unions and citizens were imprisoned for traveling to another part of the

Country without a government permit. The other two are limited government

Answer:

Step-by-step explanation:

I HATE THIS APP PEOPLE PUT FAKE ANWSERS ALL THE ONES I PUT WERE WRONG

Answers

Answer:

ok?

Step-by-step explanation:

Answer:

Avocados from Mexico

Step-by-step explanation:

An Air Force plane left Paris and flew toward Moscow. A cargo plane left one hour later flying 40 km/h faster in an effort to catch up to it. After four hours the cargo plane finally caught up. What was the Air Force plane's average speed?
(Use box method)

Answers

Their is your answer hope i get a like

Answer:

The plane is traveling at 160 km/h

Step-by-step explanation:

This is because if the first plane is traveling at 160 and flies for 5 hours it'll travel 800 km. then the second plane will have to catch up in 4 hours since it left an hour late, this means traveling at 160 km with an extra 40 km in 4 hours will get it to the first plane at 800 km in the 4 hours given

34
x 56
show your work and solve the equation

Answers

Answer:

1,904

Step-by-step explanation:

Multiply the bolded number first

  34

x 56

----------

204

Multiply the 2nd group of bolded number

  34

x 56

----------

170

Add 0 as a place holder

 34

x56

---------

204

1700

Add the 2 answers together

1700

+ 204

-----------

1.904

Hopefully that helped!!!!

Write the coordinates of the point C after dilation with scale factor of 5, centered at the orgin

Answers

Answer:

Coordinates of point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)

Step-by-step explanation:

Given the point C

C(2, 1)

A dilation with a scale factor of 5 means the size of the coordinates of the image of point P will be 5 times larger than than the original coordinates of point C.

Thus, the rule of dilation by a scale factor 5 is:

(x, y)  →  (5x, 5y)

C(2, 1)  →  (5x, 5y) = (5(2), 5(1)) = C'(10, 5)

Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)

Answer:

.

Step-by-step explanation:

Which of the following statements regarding Pascal's triangle are correct?
A. The coefficients of (x + y)" are given by the nth row of Pascal's
triangle.
B. Each row is a "palindrome" – that is, it is the same if read from
left to right or from right to left.
C. The nth row gives the coefficients in the expansion of (x + y)21.
D. To generate Pascal's triangle, add adjacent terms on a row to
determine the term directly below them.

Answers

Answer: PLEASE READ: The coefficients of (x + y)n are given by the nth row of Pascal's triangle. To generate Pascal's triangle, add adjacent terms on a row to determine the term directly below them. Each row is a "palindrome"- that is, it is the same if read from left to right or from right to left.

Step-by-step explanation: A P E X

Evaluate the expression: 2{ a( 2b + 3c)} for a=8, b=3, and c=4

Answers

Answer:

288

Step-by-step explanation:

Evaluate Using the Given Value

2 (a (2b + 3c)) for a = 8 , b = 3 , and c = 4

Replace the variable a with 8 in the e xpression.

2 ((8) (2b + 3c))

Replace the variable b with 3 in the expression.

2 ((8) (2 (3) + 3c))

Replace the variable c with 4 in the expression.

2 ((8) (2 (3) + 3 (4)))

Simplify each term.

Multiply 2 by 3.

2 (8 (6 + 3 (4)))

 Multiply 3 by 4.

2 (8 (6 + 12))

Simplify the expression. Tap for fewer steps...

Add 6 and 12.

2 (8 ⋅ 18)

 Multiply 8 by 18.

2 ⋅ 144

 Multiply 2 by 144.

288

Someone please help Ik in desperate need

Answers

Answer:

hiiii can i get a closer look

Step-by-step explanation:

Please help me.......................

Answers

Answer:

I think that the answer is

-g + 12

I used a math check calculator and it said that the above is the answer

The answer is 12-g hope this helped ;)

convert 6¼ % to fraction​

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]6\frac{1}{4}=\frac{25}{4}[/tex]

since percent means divided by 100

[tex]\frac{25}{4} *\frac{1}{100}[/tex]

=[tex]\frac{1}{16}[/tex]

Answer:

1/16

Step-by-step explanation:

625/10000

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 25 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results?

Answers

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 15 \ months[/tex]

   The sample size is  n =  25

   The sample mean is  [tex]\= x = 17 \ months[/tex]

   The standard deviation is  [tex]s = 5.5 \ months[/tex]

Let assume the level of significance of this test is  [tex]\alpha = 0.05[/tex]

    The null hypothesis is  [tex]H_o : \mu = 15[/tex]

     The alternative hypothesis is  [tex]H_a : \mu > 17[/tex]

Generally the degree of freedom is mathematically represented as  

         [tex]df = n -1[/tex]

=>       [tex]df = 25 -1[/tex]

=>       [tex]df = 24[/tex]

Generally the test statistics is mathematically represented as

        [tex]t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }[/tex]

=>   [tex]t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }[/tex]

=>   [tex]t = 1.8182[/tex]

Generally from the student t distribution table the probability of obtaining   [tex]t = 1.8182[/tex] to the right of the curve at a degree of freedom of [tex]df = 24[/tex]  is  

    [tex]p-value = P(t > 0.18182 ) = 0.4286[/tex]

From the value obtained we see that  [tex]p-value > \alpha[/tex] hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

20 point help.brainliest will be mark

Answers

the first one is correct except add d

Answer:

it's 3n + 18 and 10 + 3n +8

Step-by-step explanation:

Hope this helps have a nice day :)

Solve an equation. 24 kg = ___ g

Answers

Answer:

24000 regular grams

Answer: 24000

Step-by-step explanation: because you have to  multiply the mass value by 1000

You are making punch for a baby shower. Your make 6 quarts of punch. How many pints of punch did you make?

8 oz = 1 cup

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

Answers

you made 12 pints of punch

Difference between 25 and the product of two and three

Answers

Answer:

19

Step-by-step explanation:

25 - (2×3) = 25 - 6 = 19

.........

plz help me thanks very nuch whoever helped me​

Answers

Answer:

(1) 56 miles/hour

Step-by-step explanation:

We need to find the average rate of change from t = 2 to t = 9.

At t = 2 hours, d = 106 miles.

At t = 9 hours, d = 498 miles.

The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

(498 - 106)/(9 - 2) = 392/7 = 56

Answer: (1) 56 miles/hour

Does (2,-3) satisfies the equation 5x+3y=1

Answers

Answer: Yes

Step-by-step explanation: We're going to have to substitute

in the coordinates of that ordered pair into the equation.

I am going to substitute in the x and substitute in the y.

So it's really 5(2) + 3(-3) = 1.

From here it should be pretty straightforward,

all we are doing is evaluating the statement.

Simplifying on the left we have 10 + -9 = 1 or 1 = 1.

Now we know that the ordered pair (2, -3) satisfies this equation.

Yes it does satisfy the equation

Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 1 2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction and a decimal.

Answers

Answer: 7 1/2 cubic cm

Step-by-step explanation:

describe how to solve a system of equations using elimination

Answers

Answer: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Step-by-step explanation:

-5(4m - 6) + (-9 + 7m)

Answers

Answer:-13m + 21Hope this helps!!

Answer:

-13m + 21

Step-by-step explanation:

Triangles are 3 sided polygon's. true or false?

Answers

true is the right answer

True Triangles are 3 sided polygon's

A psychology teacher gave a test to 200 students, and, after seeing the results, decided that the scores were
normally distributed. The mean score was 60, and the standard deviation was 10. How many students had scores
between 40 and 80?

Answers

Answer:

Step-by-step explanation:

66-95-99.7 rule

standard deviation is 10. meaning that it'll deviate twice meaning you use the 95%

95% of 200 is 190, so 190 students had scores between 40 and 80

Which line is perpendicular to the line y = -3x + 2?
A. 3x + y = 4
B. x + 3y = 24
C. 3x - y = 5
D. x - 3y = 3

Answers

i'm pretty sure the answer is C

6. Find the sum or difference.
(6g - 3) - (4g + 5)

Answers

The answer is 2g - 8

Please help!!! all these questions are due today

Answers

Did you figure out the answer yet?
Wish I could help bro sorry

Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
O 0.4536
O 0.9072
1.8144
O 4.536

Answers

Answer:the answer is 0.9072 or B

Step-by-step explanation:

(a) What percent of 76 is 19?
(b) 68 is 85% of what?

Answers

Answer:

A. 25

B. 80

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!!

Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car.
Complete the table using equivalent ratios.
Kilometers Liters
36 3
48 ____
____ 11

Answers

Answer:

There are two, the first one is 4 and the second is 132

Step-by-step explanation:

36 divided by 3 is 12, so 48 divided by 12 would give us the answer 4. In the last one, you multiply 11 by 12 instead.

Step-by-step explanation:

the second one is 132 uuwwuu

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