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

If you can help, I’ll give brainliest

Answers

Answer:

sum of interior angles =180×3= 540°

m<F= 540-105-113-107-87

=128°

m<F= 128°

You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable​

Answers

Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

I need help again someone please help

Answers

G=45.89 gallons 46 gallons.

I hope this answers your question!

:)

16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13

Answers

The answer is D!
(x-3)+3 = (13)+3 = 16
(x-3)+3 = (-13)+3 = -10

thissssssssssssssssssssssssssssssssssssssss

Answers

Answer:

w represents

Step-by-step explanation:

up 2 is the y coordinates

answer this
1) Singapore is located in the +8 time zone. An aeroplane departs from Singapore at 3.00 p.m. (15:00) on Monday and travels across the IDL to Honolulu located in the
-10 time zone. If it takes 12 hours for the journey, find the local time and date when it arrives in Honolulu.



2)An aeroplane departs from Dawson located in the -8 time zone at 6:00 a.m. on
Monday, flies across the IDL and arrives in Tokyo (Japan) in the +9 time zone.
If the flight arrives in Tokyo at 4.00 p.m. on Tuesday, find the time taken for the
journey

Answers

Answer:

Local Time = 9:00

Date = Monday

Step-by-step explanation:

Singapore is located in the +8 time zone. An aeroplane

departs from Singapore at 3.00 p.m. (15:00) on Monday

and travels across the IDL to Honolulu located in the

-10 time zone. If it takes 12 hours for the journey, find

the local time and date when it arrives in Honolulu

-34 = -8 + 9(b + 4)
What is the value of the variable?

Answers

Hi, here’s what I did
First switch sides
-8+9(b+4) =-34
Then add 8 to both sides
-8+9(b+4) +8 =-34+8
Then simplify
9(b+4) =-26
Divide both sides by 9
9(b+4) over 9 = -26 over 9
Simplify
B+4 =-26 over 9
Subtract 4 from both sides
B+4-4=-26/9 (over 9) -4
Simplify and get -62/9 (over 9)
Hope this helps :)

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ5

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: 4 - 2g

Explanation: The order of operations is distributive property so think of it as
(1/2 • 8) - (1/2 • 4g) Also just think of dodging 8 and 4 by two since 1/2 in a number format is .5 and 8 mutuales by .5 is 4 and 4 is 2.

Hope this helps!



RS= 6x-8

UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.

T or F

Answers

Answer: True

Step-by-step explanation:

Help please!! (The image is for all questions)
1. Complete the chart. Type your 3 responses.


2. Use 2 points from your chart to calculate the slope. formula: y2 - y1
x2 - x1

3. What would be the y intercept? (AKA the “0” number)

4. Use your answers to write an equation for this scenario in slope intercept form (AKA y = mx + b)

5. Use your formula to calculate how much water would be left in the pool after **6 hours**

Answers

Answer:

y-y=1 so the answer is 1 bro

Solve the equation if 0°

Answers

The answer is x≈{-0.490883+2k(pi)
{3.63248 +2k(pi). K€Z
Hope it helps you
Good luck

Answer

(225-degree, 315 degree)

Step-by-step explanation:

What 5 coins add up to 38 cents? Explain how you solved it.

Answers

Answer:

3 dimes (10c each), a nickel (5c), and 3 pennies (1c each)

Step-by-step explanation:

10+10+10+5+1+1+1 = 38

Hope that helps.

HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!

Answers

Answer:

3rd option

Step-by-step explanation:

Answer:

it's the first option (x ≥ -4)

Step-by-step explanation:

Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.

x ≥ -4

The ground temperature at an airport is 14 "C. The temperature decreases by 6.2 "C for every increase of 1 kllometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

-17 C

Step-by-step explanation:

14 - 5(6.2) = 14 - 31  = -17 C

What is the volume of the prism?
cubic units

Answers

You my 5+5 bc ~+34=7
21 because 7x3 is 21

solve for z. -z+7=6 and thank you

Answers

Answer:

z = 1

Step-by-step explanation:

-z+7 = 6

so

7-6 = z

1 = z

good luck

Answer:

[tex]\huge\boxed{\sf z = 1}[/tex]

Step-by-step explanation:

-z + 7 = 6

Subtract 7 to both sides

-z = 6 - 7

-z = -1

Divide both sides by -1

z = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?

Answers

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

easy problem nice about of points

Answers

Answer:

1

Step-by-step explanation: i am not sure

what is the value of x? 48°(3x + 6)

Answers

Answer:

No clue

Step-by-step explanation:

How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches

Answers

Answer:

24 screeches

Step-by-step explanation:

20M=12L=8P=24S

Sponges are sold for 20 dollars. How many sponges per dollar.

Answers

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

help ASAP please hmmmm​

Answers

Answer:

I’d go with number 2 and number 4.

what is the slope of a line that passes through (2,11) and (5,29)?​

Answers

Answer:

6

Step-by-step explanation:

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

m=(29-11)/(5-2)

m=18/3

m=6

700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?

Plz. Helppp me what the answer???

Answers

700=100%
700/10=70
70=10%
70x2=140
140=20% :))

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

The diameter of a circle is 8 mm. What is the circumference of the circle?

Answers

Answer:

C=22÷7×8

=3.14×8

=25.12

Solve for x
−4x+60<72 OR 14x+11<-31

Answers

Answer for 1 - = x> -3
Answer for 2 I did 14x+11-31 not sure it what u meant but answer is = 14x-20,

Answer:

  x ≠ -3

Step-by-step explanation:

Adding 4x-72 to the first inequality gives ...

  -12 < 4x

  -3 < x . . . . . divide by 4

Adding -11 to the second inequality gives ...

  14x < -42

  x < -3 . . . . divide by 14

Now we have ...

  x < -3 or x > -3

The solution is x ≠ -3.

_____

The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.

Compute the fare without tip: 4 passengers, 20 miles.


$57.50


$59.70


$56.40


$58.60

Answers

I had this question earlier, and if I remember correctly the answer was 56.40

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