The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?

Answers

Answer 1

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:


Related Questions

what is the slop of 2x-5y=10

Answers

Answer:

2/5

Step-by-step explanation:

Subtract 2x from both sides

-5y = -2x + 10

Divide both sides by -5

y = 2/5 x -2

The slope is 2/5.

The answer is 2/5

Subtract 2x from both sides

Then divide by -5.

Find the sine of ∠D.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

Answers

We know

[tex]\\ \sf{:}\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{FE}{DE}[/tex]

[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{55}{73}[/tex]

= 3 and 1/2 × 3 and 1/2

Answers

Step-by-step explanation:

please mark me as brainlest

Need help ASAP! Problem and directions in picture;)

What is the value of ?

Answers

We know, an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. Therefore, Angle V + Angle U = Exterior Angle T

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

A_________is a common multiple of two or more denominators

Answers

Answer:

(LCM)

Step-by-step explanation:

Least common multiple = LCM

HOPE THIS HELPS :)

Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines

Answers

Answer:

C) perpendicular lines

ANSWER ASAP PLS

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16

Answers

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

= (2-4)/(-2+6)

= -2/4

= -1/2

now

y=mx+c

4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)

or,4= 3+c

therefore, c=1

now

y=mx+c

y= -1/2x+1

or, y = 1-x/2

Please answer the following question
(d+m)A=2
A= ?

Answers

Answer:

A is equal to 3

please mark me as brianleast

(d+m)A=2
It can be rewritten as A(d+m)=2
The opposite of multiplying is division is divide (d+m) on both sides

A=2/(d+m)

NEED HELP PLZ HELP ME ….

Answers

Answer:

R= -0.95

Step-by-step explanation:

HOPE THIS HELPS :)

kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?

Answers

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

Miles (m) = 1346

Time (h) = 3 hours

Unit rate = ?

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

The unit rate for the flight 737 is 448 2/3 miles per hour.

Can i get some help :

Answers

dang this looks so confuseing

Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)

Answers

Using the function graph given, it is found that:

L(2) = 7.R(2) = 1.

When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.

For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.

To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009

Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points

Answers

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?

Answers

Answer:

2 [tex]\frac{5}{16}[/tex]

Step-by-step explanation:

2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

Answer:

3 1/4 feet

Step-by-step explanation:

1/4 of 9 3/4

change 9 3/4 into an improper fraction → 39/3

1/4 x 39/3 = 39/12

convert back to a mixed number by dividing 12 into 39

which goes in three times with a remainder of 3 → 3 3/12

however, 3/12 can be simplified to equal 1/4

Can you help me please ?

Answers

Answer:

A

Step-by-step explanation:

rise⇵ over run ⇄

the rise is -6 the run is 3

I NEED HELP PLZZ, can someone help me out w/ this question plz?

Answers

Answer:

both of them are correct !

-1/1 = 0

and -1+1 = 0, and 0/-1 equals 0

Step-by-step explanation:

The value of X is units in length.

Answers

Answer:

x=17.5 we do that 5*3.5 =17.5

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.

Answers

Answer:

A. better prepared to calculate financial risks

Step-by-step explanation:

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.

What is Personal Finance?

Personal finance is a broad word that encompasses money management, as well as saving for the future.  Personal finance also includes some of the following:

Budgeting, Banking,Insurance, andEstate preparation etc

A successful study of personal finance can help in various ways such as:

Assisting in increasing our income stream and cash flows. Keeping track of our expenses and spending habits.Tax preparation and careful budgeting guarantee that our hard-earned money is not wasted on needless purchases.

Learn more about personal finance here:

https://brainly.com/question/2961383

Jennifer competed in a race that included running and biking. She ran 134 miles and bicycled 3.6 miles. Her total time was 0.7 hour. What was her approximate average speed in miles per hour?

Answers

Answer:

not 100% but i think 196

Step-by-step explanation:

you go 134+3.6 then just divide by 0.7

123.90706 written to 3 decimal places is

Answers

Answer:

123.907

Step-by-step explanation:

.if cant represents it no problem but just i need the answer please ​

Answers

Answer:

The solution is in the photo

Plz, help!!! I'll give brainliest!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

0.5 ft = 12 × 0.5 = 6 inches

1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inches

Surface are of cuboid is : -

[tex] \sf2(lb + bh + lh)[/tex]

[tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex]

[tex] \sf2[24 + 108 + 72][/tex]

[tex] \sf2(204)[/tex]

[tex] \sf408 \: \: inches {}^{2} [/tex]

What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.

Answers

Answer:

There is no difference

Step-by-step explanation:

The difference between the polynomials is 7y² + 8xy - 3

Polynomials are functions that have a degree of power greater than two.

According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)

f(x, y) = (7y^2 + 6xy) - (-2xy + 3)

f(x, y) = 7y² + 6xy + 2xy - 3

f(x, y) = 7y² + 8xy - 3

Hence the difference between the polynomials is 7y² + 8xy - 3

Learn more on polynomials here: https://brainly.com/question/4142886

1/3x² + x+5/3x² = 1/9

HAHAHAHA......​

Answers

Answer:

[tex]\huge \bf༆ Answer ༄[/tex]

Step-by-step explanation:

Let's solve for x ~

[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex]

[tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex]

[tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex]

[tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]

Multiply each term with 9 on both sides of the equation

[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex]

[tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]

Now, let's use Quadratic formula to find its roots ~

[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

where,

b is Coefficient of x = 9

a is Coefficient of x² = 18

c is the constant term = -1

Let's find the roots ~

[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex]

[tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex]

[tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex]

[tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]

Therefore the value if x are ~

[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]

I hope it helps ~

7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.

Answers

Answer:  49/55  

7/11 x 7/15 x 3  

49/165 * 3  

147/165  

49/55

[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]

Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!

Answers

Answer:

Step-by-step explanation:

29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?

Answers

Answer:

225 notes

Step-by-step explanation:

Let the number of notes is x.

20% of notes is:

0.2x

40% of the remainder is:

40% of 0.8x, so it is 0.8x*0.4 = 0.32x

Remaining notes are:

x - 0.2x - 0.32x = 0.48x

Total of the notes:

0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

How much does darma earn if she babysits 6 hours

Answers

Answer:

42$

Step-by-step explanation:

Since she earns 28 $ in 4 hours

Let the hour : X

4x=28

X=28/4

X=7

Since the question want 6 hours

Then she earns

6x7=42$

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

Hes right 304.8 millimeters in a foot.

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