Sara has a gift box with a volume of 64 in3. The length, width, and height of the box are all y inches. Sara needs to determine if a stack of 6-inch-by-6-inch note papers will fit on the bottom of the box. Complete the sentences below by choosing the correct responses from the drop-down menus. Sara can determine the value of y by finding of the volume. The value of y is inches. Therefore, the note papers fit on the bottom of the gift box.

Answers

Answer 1

Answer:

No, the note papers will not fit the gift box.

Step-by-step explanation:

Given that:

Volume of the gift box = 64 [tex]in^3[/tex]

Length, width and height of the box all are equal to [tex]y[/tex] inches.

Dimensions of note papers = 6 inch by 6 inch

To determine:

Whether the note papers will fit the bottom of the box?

Solution:

Here, we need to find the dimensions of the gift box first.

If the dimensions of gift box are greater than or equal to the dimensions of the note papers, only then the papers will fit into the box.

As per the given question statement, the gift box is in the form of a cube.

Formula for volume of a cube is given as:

[tex]Volume = (Side)^3[/tex]

Side is given equal to [tex]y[/tex] inches.

[tex]64 = y^3\\\Rightarrow y = 4\ in[/tex]

Dimensions of the box are lesser than that of the note papers.

Therefore, the note papers will not fit into the gift box.


Related Questions

Answer please!!! (Compound Inequalities)

Answers

Answer:

(B). - 7 ≤ x < 12

Step-by-step explanation:

- 7x - 50 ≤ - 1 ⇔ - 7x ≤ 49 ⇒ x ≥ - 7  

and

- 6x + 70 > - 2 ⇔ - 6x > - 72 ⇒ x < 12

- 7 ≤ x < 12

Graph the line that passes through the points (3, -5) and (-1, -9) and determine
the equation of the line.

Answers

Answer:

the slope intercept equation for this line would be y = x - 8

Step-by-step explanation:

the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8

Answer:

y= x-8

Step-by-step explanation:

Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *

A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s

Answers

Answer:

D) 3cm/s

Step-by-step explanation:

Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.

Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.

Therefore, the answer is D, 3cm/s.

Hope that helps!

What is the measure of B?

Answers

44 bc c is 90 and the other is 46 , all together it would equal the area of a triangle which is 180°

Who knows how to do this I TRULY NEED HELP

Answers

Answer:

9

Step-by-step explanation:

What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8

Answers

Answer:

C

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

5x - 2(2x-1) = 6   Distribute first the 2 to (2x-1)

5x - 4x + 2 = 6    Subtract 5x - 4x

x + 2 = 6   Transpose 2 to the right side by subtracting both side by 2

x = 6 -2

x  = 4

A map has a scale of 2 cm = 25 km. Two cities are 15 centimeters apart on the map. What is the actual distance between the cities?

Answers

Answer:

187.5 km

Step-by-step explanation:

For every 2cm there is 25km, So 2cm/25km. Now you are given 15cm, and you need to find the actual distance in km. Set up the fraction 2cm/25km=15cm/Xkm and solve for X using cross multiplication as follows:

2x=25(15), so 2x=375, X=187.5 km.

If OB= 2x+1 and
BR = 3x-10 then OR=

Answers

OB + BR = OR (because the line would go O, B, R and OR encompasses the whole thing with B in the middle.
So 2x + 1 (OB) + 3x -10 (BR) = OR
2x + 1 + 3x -10 = OR
(Simplify)
5x - 9 = OR

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP
SHOW YOUR WORKKKKKKKKKKKKKKKKKK


Tom sells Tvs at an electronic store. He gets paid $100 for each TV he sells. He also gets a $500 bonus each month for selling above a certain amount. Tom wants to make a least $1,500 this month. How many TVs will he have to sell if he gets $500 bonus?Chose the inequality that best represents this situation.

A. 100t+500≥1,500
B. 100t+500≤1,500
C. 100t+500<1,500
D. 100+500t≥1,500

Explain your reasoning and solve the inequality:

Answers

Answer:

The answer is A

Tom will have to sell at least 10 TVs to get the bonus and to get $1,500

Step-by-step explanation:

Total: The same or above 1500

Tom gets paid 100 for each TV = 100t

He can get a 500 bonus by selling a certain amount = 500

100t + 500 ≥ 1,500

100t + 500 - 500 ≥ 1500 - 500

100t ≥ 1000

100t ÷ 100 ÷ 1000 ÷ 100

t ≥ 10

Tom will have to sell at least 10 TVs to get the bonus and to get $1,500

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Darien's kitten weighs 2.25 pounds. Her dog weighs 10 times the weight of the kitten. How much does her dog weigh?

Answers

Answer: 22.5 LBS (Or Pounds)

Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)

Answer:

22.5 pounds

Step-by-step explanation:

You multiply 10 by 2.25 to get your answer

You can just move the decimal to the right one decimal place since you're multiplying by 10

Mr.Camron had 1/3 of a pan of lasagna represented by the shaded part of the rectangle. He cut the lasagna into 4 equal pieces and ate one piece for lunch. What fraction of the whole pan of lasagna did Mr.Camron eat for lunch?

Answers

Answer:

1/12 of the pan

Step-by-step explanation:

He has 1/3 of a pan of lasagna.

You are dividing it by 4 as he cut the 1/3 pan into 4 equal pieces, so you can do 1/3 divided by 4.

A simple trick to divide a fraction from a number is to change the division sign to multiplication and flipping over the second fraction.

So 1/3 / 4

would become

1/3 x 1/4

and so it is 1/12

1/12 is your answer

Hope this helps!

please help me answer my question​

Answers

f = -1/4 -7/2
f = -15/4

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

Answers

Answer:

Range[4,24,44,64,84,104,124]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs

20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in

pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6

The given function is

f(x) = 20x + 4 =

f(0) = 20(0) + 4

= 4

f(6) = 20(6) + 4

= 124

Which means the range is within 4 and 124.

But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24

Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)

Which describes the graph of y=(x+6)^2+1?

A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)

Answers

C. Vertex at (-6,1)

please help me with this question ​

Answers

Answer:

top right and bottom left

Step-by-step explanation:

im in precal and if i get this wrong i am so sorry

but im pretty sure those r what increasing graphs look like as the increase in a positive direction

hope this is correct and helps :)

Work out the value of x! Will award brainiest

Answers

Answer:

X=67.5

Step-by-step explanation:

90+X +3x =360

4x=360-90

X=270/4=67.5

Which strategy below would NOT get you an
accurate estimation of 33% of 146.7?
A) Round the percent and find 30% of 146.7
B) Round the number and find 33% of 150
C) Use benchmark percent and find 50%
of 146.7
D) Round the percent and number and
find 30% of 150
E) All of them would be an accurate
estimation,

Answers

Answer:

C) Use benchmark percent and find 50%

of 146.7

Step-by-step explanation:

Accurate estimation of 33% of 146.7

A) Round the percent and find 30% of 146.7

Acceptable, rounded down the %

B) Round the number and find 33% of 150

Acceptable, rounded up the number

C) Use benchmark percent and find 50%

of 146.7

NOT acceptable as 50% is too much for 33%

D) Round the percent and number and

find 30% of 150

Acceptable, both % and the number rounded

E) All of them would be an accurate  estimation

No, option C only

Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?

Please show your work!

Answers

Answer:

0.6

Step-by-step explanation:

10l|8w

6l`|?w`

6/10=0.6

0.6 x 8w = 4.8w

Scale factor = 0.6

Step-by-step explanation:

please delete this comment

What is the value of x in the equation?

Two-thirds (x + 6) = negative 18

Answers

Answer:

the answer is x= -33

Step-by-step explanation:

help with math? heres the question.
-
answer options:
8
2
5
3

Answers

the correct answer is 3
38x-2=112
add 2 to both sides you then get
38x=114
divide 38 by both sides
and you will get 3 hope that helps

Over the first five years of owning her car, Gina drove about 12,500 miles the first year, 8,454 miles the second year, 12,050 the third year, 11.900 the fourth year, and 12,675 the fifth year. Find the mean, medianand mode of this data . Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth mcan=11,516; median =12.050. ; no modethe median is the best choice because it is not skewed by the low outlier. mean - 11.516 median no modethe mean is the best choice because it is representative of the entire data set mcan = 11.516 median mode 4,221 the median is the best choice because it is not skewed by the low outlier mcan = 12, 050 median 11,516 no mode; the mean is the best choice because it is ofthe data set

Answers

Bdbddhdhjdhdhddjjdhdhrh

A couple of college students get the idea to open a snack stand at the regatta festival this summer. The students sell delicious soft pretzels. They pay the city $648 to set up their stand for the entire regatta. They also figure the cost for dough, coarse salt, and other things they need is $0.20 per pretzel. They sell each pretzel for $2.90. a. What is the cost and the income obtained from selling forty pretzels?

b. If the income from selling the pretzels was $261, how many pretzels did they sell?

c. How many pretzels must they sell to break even, according to the algebraic model?

Answers

Answer:

a) The cost of producing 40 pretzels is $656

The income for selling 40 pretzels is $116

b) They sold 90 pretzels

c) They must sell 240 pretzels to break-even

Step-by-step explanation:

Linear Models

A linear model is an equation that describes a relationship between two quantities that have a constant rate of change.

One of the most-used equations of linear models is the slope-intercept form, written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

The total cost of producing soft pretzels is divided into two parts:

* A fixed cost of $648 to set up their stand for the entire regatta.

* A variable cost of $0.20 per each pretzel.

Thus, the cost function can be written as:

C(x)=648+0.20x

Where x is the number of pretzels produced.

The students sell each pretzel for $2.90. This means the income (revenue) function for selling x pretzels is:

R(x)=2.90x

a) The cost of producing x=40 pretzels is:

C(40)=648+0.20*40

C(40)=648+8

C(40)=656

The cost of producing 40 pretzels is $656

The income is:

R(40)=2.90*40=116

The income for selling 40 pretzels is $116

b) If the income from selling pretzels is R=$261, then:

2.90x=261

Solving for x:

x = 261/2.90

x = 90

They sold 90 pretzels

c) To break-even the total cost and the income must be equal:

2.90x=648+0.20x

Subtraction 0.20x:

2.70x=648

Dividing by 2.70:

x = 648/2.70

x = 240

They must sell 240 pretzels to break-even

Which of the following pairs of functions are inverses of each other?

A.
[tex]f(x) = \frac{x}{4} + 10 \: and \: g(x) = 4x - 10 [/tex]
B.
[tex]f(x) = {2x}^{3} + 9 \: and \: g(x) = \sqrt[3]{ \frac{x}{2} } - 9 \: [/tex]
C.
[tex]f(x) = \frac{12}{x} - 18 \: and \: g(x) = \frac{12}{x + 18} [/tex]
D.
[tex]f(x) = {6x}^{3} - 7 \: and \: g(x) = \frac{ {x}^{3} + 7}{6} [/tex]

answer: C.

Answers

The answer is c hopefully it helps


Need help ASAP plzzzzz

Answers

Answer:

y=2x+1

Step-by-step explanation:

Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.

Answer:

It's the first one: y= 2x +1

Step-by-step explanation:

If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.

same with the others-

Three pens and three notebooks cost $6.90. Two notebooks and one pen cost $4.10

Answers

Answer:

so whats the question then?

Step-by-step explanation:

Solve the portion 20/3 = ?/6

Answers

Answer:

40/6

I hope this helps.

Samiya bought a tree 3 inches long. Each year, the tree expected to grow 5 inches. How long (How many years) it takes the tree to reach the height of 8 feet (or 96 inches)? Let \large y be number of years it takes to reach 96 inches tall;

Answers

Answer:

19 years

Step-by-step explanation:

Initial height of tree when Samiya bought the tree = 3 inches

Growth in the height of tree every year = 5 inches

Number of years = [tex]y[/tex]

Growth in the height of tree in [tex]y[/tex] years = 5 inches multiplied by number of years

Growth in the height of tree in [tex]y[/tex] years = 5[tex]y[/tex] inches

To find:

Number of years taken by the tree to be 8 ft or 96 inches.

Solution:

The equation for height of tree after [tex]y[/tex] years can be written as:

3 + 5[tex]y[/tex] which is to be compared with 96 inches.

Therefore, the equation is:

[tex]3 + 5y = 96\\\Rightarrow 5y=93\\\Rightarrow y \approx 19[/tex]

Therefore, it will take 19 years for the tree to reach a height of 96 inches.

Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?

Answers

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

whats 17+-44 describe how you got that answer”

Answers

Answer is -27
If it’s a negative and a positive then the answer will be a negitive but if it’s two negatives then the answer will be positive

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1

Answers

Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

Other Questions
The functions of a business, whether large or small can be divided into four basic types. Which of the following is NOT a basic type of function?ved out ofSelect one:a. Marketingb. Adminc Production/Operationd. Human Resource what is a topic or "big idea" of this,story. mike's new car -2+___=97+__= -16+__=14-4+___= -13 Any one that can help me The amount of Jens monthly phone bill is normally distributed with a mean of $75 and a standard deviation of $8. What percentage of her phone bills are between $51 and $99?A. 99.7%B. 95%C. 99.99%D. 68% HELP ME !!!!!!!!!!!!!!!!!!!!!!!! Up to 70% of the worlds freshwater can be found in the __________. The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the companys short-term activity ratios. 3Your calculations and appropriate industry norms are listed.Current ratio bluegrass 4.5 industry norms 4.0Quick ratio bluegrass 2 industry norms 3.1Inventory turnover bluegrass 6 industry norms 10.4Average collection period bluegrass 73 days industry norms 52 daysAverage payment period bluegrass 31 days industry norms 40 daysa. What recommendations relative to the amount and the handling of inventory could you maketo the new owners?b. What recommendations relative to the amount and the handling of accounts receivable couldyou make to the new owners?c. What recommendations relative to the amount and the handling of accounts payable could youmake to the new owners? determine whether the decimal is terminating repeating or irrational 0.4286 Protons and neutrons are similar because they both:cause objects to become chargedare attracted to electronsare found in the nucleus of an atomhave positive charges What is the equation of the line that passes through the points (2,6) and (4, 10)? What are the slope and the white intercept of the liner function as represented by the equation8x - 2y=5? A.the slope is -5/2 and the y-intercept is 4 B.the slope is 5/2 and the y-intercept is 4 C.the slope is 4 and y-intercept is -5/2 D.the slope is 4 and the y-intercept is 5/2 What's the impact of the Kansas and Nebraska act? Habla. With a partner, say whether the people below are afraid or not oftaking part in the voladores dance. Use the verb tener and the clues inparentheses. Record yourself and submit your work. Technician A says that Safety Data Sheets contain detailed health information about hazardous materials. Technician B says that Safety Data Sheets can be obtained from the manufacturer of the material. Who is correct?Technician ATechnician BTechnician A and BNeither A nor B Why are these triangles similar? What is the steady state rate of heat flow through a pane of glass that is 40.0 cm by 30.0 cm with a thickness of 4.00 mm when the outside temperature of the glass is 10.0 and its inside temperature is 25.0? The thermal conductivity of glass is 0.105 W/(mK); the specific heat of glass is 0.180 cal/(g); and 1 cal = 4.190 J. Matthias Schleiden and Theodor Schwann looked at plant and animal cells. Schwann wrote the first part of what is known as the cell theory. Which statement did he write? A. All organisms are composed of one or more cells. All cells come from existing cells. B. All organisms are composed of one or more cells. The cell is the basic unit of life in all living things. C. All cells come from existing cells. The cell is the basic unit of life in all living things. D. All cells are microscopic in size. All cells come from existing cells. Determine the mass of the object below to the correct degree of precision 8. What literary technique is this? Language that appeals to the five senses and uses vivid details to help the reader feel and imagine what's going on. It (1 Point) A. allusionB. dictionC. imagery D. personification