A box with no top is to be constructed from a piece of cardboard whose length measures 6 inches more than its width. The box is formed by cutting squares that measure 2 inches on each side from the four corners and then folding up the sides. If the volume of the box will be 14 in^3​, what are the dimensions of the piece of ​ cardboard?

Answers

Answer 1

Answer:

This is not possible

W = width of cardboard to start with

W+6 = length of cardboard to start with

H =2    (height of finished box)

volume = W x L x H = 14 in^3

if H=2 in, then the area of the base before cutting out the 2x2 corners is W x L = 7 in^2

This is not enough area to cut out the 4 corners of 2x2 each, which would be 16 in^2

Answer 2
W=width
L=Length

Two equations

1) W+6=L
2) (W-4)*(L-4)*2=14

Solve

(W-4)*(W+6-4)*2=14

(W-4)*(W+2)*2=14

(W-4)*(W+2)=7

W^2-2W-8=7

W^2-2W-15=0

Factor

(W-5)*(W+3)=0

W-5=0

W=5

L=W+6

L=5+6

L.=11

Answer

W=5
L=11




Related Questions

how to write 3,24 as a common fraction without using a calculator​

Answers

Answer:

dont trust me on this but i think it is 3/8

Step-by-step explanation:

3/4. Please help if possible :)

Even if it is just one of them.

Answers

9514 1404 393

Answer:

  3. no (to both)

  4. yes (to both)

Step-by-step explanation:

3. see https://brainly.com/question/21676356 for an explanation

__

4. ΔADB ≅ ΔADC by the HL theorem, so all corresponding parts of the triangles are congruent.

Segment AD bisects both angle BAC and segment BC. So, point D lies on the perpendicular bisector of BC.

Yes, there is enough information to answer the questions.

This question is asking me to “Identify whether each of the following is a linear function

Answers

1 is not a linear function because it’s not a straight line since it curves as u can see
Rember the vertical line test and the horizontal line test when checking if graphs are functions

2+3.3x-1.7=5.25 solve for x

Answers

Answer:

1.5

Step-by-step explanation:

2+3.3x-1.7=5.25

=> 3.3x = 5.25 +1.7 -2

=> 3.3x = 6.95 - 2

=> 3.3x = 4.95

[tex] = > x = \frac{4.95}{3.3} [/tex]

[tex] = > x = \frac{49.5}{33} [/tex]

=> x = 1.5 (Ans)

Determine the INTEREST ONLY for $4,331.00 earning 5.5% for 4 years, compounded semi-annually.

Answers

4,331 times 8 (semiannual for 4 yrs) = 34,648
34,648 + 5.5% = 36,553.64

to find interest:
36,553.64 - 34,648 = 1,905.64

THE INTEREST RATE IS $1,905.64

Which equation represents a proportional relationship? A. y=x/8. B. y=8/x. C. y=x/8+8. D. y=8/x+8.

Answers

Answer:

c and d have a proportial relationship.

Step-by-step explanation:

hope this helps

Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days ​

Answers

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.

Find the value of
n
.

Answers

Answer:

n = 250

Step-by-step explanation:

To express the ratio, the quantities must have the same measures

2 cm : 5 m

= 2 cm : 500 cm [ 1 m = 100 cm ]

Divide both parts by 2

= 1 : 250 → with n = 250

3. A company makes a profit of $15 per software program and $10 per video game. The company can produce

at most 70 software programs and at most 80 video games per week. Total production cannot exceed 100

items per week. How many items of each kind should be produced per week in order to maximize the profit?

Use linear programming to solve. Show all your work.

Answers

Answer:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced

A triangle has sides of lengths 19 centimeters, 19 centimeters, and 26 centimeters and angle measures of 84º. 489 and 48°. Which image shows this triangle?
84
19 cm
19 cm
248
48
26 cm
48
19 cm
19 cm
O
84
48
26 cm
84
19 cm
26 cm
248
48
19 cm
48
26 cm
O
19 cm
18
84
19 cm

Answers

Answer:this is the answer

Step-by-step explanation:

Just did the test

Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3

Answers

definitely recommend the app Fraction Calculator Plus

a) 2 and 2/3
b) 10 and 1/2

a)

A worker is paid Rs 1110 for 6 days. If he told wage during a month is Rs 4625, for how many days did he work?​

Answers

Worker work for =25 days and he paid Rs.4625.

Step-by-step explanation:

From the question,

Worker is paid Rs.1110 for =6 days

Worker is paid Rs.1 for =(6/110) days

Worker is paid Rs.4625 for =(6/1110)×(4625) days

=25 days

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.

Answers

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

What is probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

I need help on this.. First person to answer this correctly gets a BRANLIST​

Answers

Answer: The relation is a function.

Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.

I hope this helps you out!

Guided Practice


Determine whether the relation is a function. Explain why or why not.


{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}


A.
No; the domain value 3 corresponds to multiple range values.


B.
Yes; there is no value in the domain that corresponds to more than one value of the range.


C.
No; a function must have multiple domain values.

Answers

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

please help!!
i’m really stuck and confused!

Answers

Answer:  a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2

Step-by-step explanation:

i took this class already

Answer:

a) = 8

b)=243

c)=1 600

d)=321 489

Explanation

a) 2×2= 4×2= 8

b)3×3=9×3=27×3=81×3=243

c)4×4=16×4=64×5=320×5=1 600

d)9×7=63×9=567×9=5 103×7=35 721×9=321 489

Why does stock have more potential for higher returns than bonds?

Answers

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation:

500g to 0.4kg as a ratio ​

Answers

Answer:

500 : 0.4

Step-by-step explanation:

pls help.
I WILL MARK BRAINLIEST!

Answers

Answer:

c

Step-by-step explanation:

because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.

Im sorry- everyone is saying its C so- Uh... sorry :<

In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

Answers

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter

Answers

Answer:

x = 6

Step-by-step explanation:

sin 30° = 3/x

0.5 = 3/x

.5x = 3

x = 3/.5

x = 6

The indicated side of the right-angled triangle is 6.

What is a right-angled triangle?

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The triangle is a right-angled triangle.

So, we know,

SinФ = perpendicular / hypotenuse.

And here, perpendicular = 3 unit

And hypotenuse = x unit

Substituting the values,

Sin30° = 3/x

1/2 = 3/x

x = 6

Therefore, the value of x is 6.

To learn more about the right-angled triangle;

brainly.com/question/3772264

#SPJ2

Calculate the gradient of the line using rise/run method.

Answers

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

[tex]Slope=\dfrac{Rise}{Run}[/tex]

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

[tex]Rise=-3[/tex]

[tex]Run=2[/tex]

Now,

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{-3}{2}[/tex]

The gradient of the line is [tex]-\dfrac{3}{2}[/tex].

Therefore, the correct option is C.

??????????????????????????

Answers

x = 30

Have a nice day!

Find the volume of the cone. Use 3.14 for pi.

Answers

Answer:

V≈157.08

Step-by-step explanation:

I hope this helps


uhm please help me :)..........,.

Answers

(-2,2) you look at where the lines intersects!!

(ONLY TWO CAPITAL LETTERS) Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT

Answers

Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

Simply 736:1054 thank you

Answers

Answer:

368/527

Step-by-step explanation:

368/527 is the answer I think

Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?

Answers

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

hello please help
me

Answers

Answer:

it would be the second one

Step-by-step explanation:

hope this helps

Please answer this today - First correct answer becomes brainliest


Suppose you know x+2y=-1 and 3y-x=-19. What is xy?

Answers

{ x+2y = -1
{ 3y-x = -19

{ x = -1-2y
{ -x = -19-3y

{ x = -1-2y
{ x = 19+3y

-1-2y = 19+3y
y = -4

x = 19+3(-4)
x = 7

(x,y) = (7,-4)

——
check solution
{ 7+2(-4)=-1
{ 3(-4)-7=-19

{ -1 = -1
{ -19 = -19
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