A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

Solution is 8 in

Let´s call dimensions of the box

x  the length of the boxy the width  of the box    andh the height  of the box

According to the problem statement

y = x + 3     and    h = 4 in

The volume of the box is:

V = x×y×h       V = 360 in³

Then  V = x × ( x + 3 ) × 4     ( by substitution of y as a function of x )

360 = x × ( x + 3 ) × 4

Simplifying by 4

90 =  x × ( x + 3 )

90 = x² + 3x

We got a second degree equation, solving for x

x² + 3×x - 90 = 0

x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2   ⇒   x₁,₂ = ( - 3 ± 19,21 )/2

x₁   ⇒  is a negative value    x = - 11,1  so we dismiss such solution

x₂  = 16.21/2

x₂  =  8.1 in

rounding to the nearest integer number we get the value for the length f the box

x₂ = 8 in        ⇒ x = 8 in

Note: In Brainly.com in search bar ask for cube dimensions


Related Questions

A number, n, increased by 6, and them the sum is doubled

Answers

Answer:

2(n + 6)

Step-by-step explanation:

Increased by 6 means to add 6 to a number. Then double the sum is to multiply the total by 2.

reduction:
6 + 7x - 4x - 2x - 4

-3 + 2x +5 - 8x

x + 3x - 7 - 6x - 3

Answers

Answer:

1: x + 2

2: -6x + 2

3: -2x - 10

find EF given E (-7, -2) and B (11, 3)
how do i solve this?

Answers

Answer:

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

How many yards are in 1 mile 300 feet? O 5,580 yards O2, 660 yards O 1, 860 yards 2,060 yards​

Answers

Answer:

1860 yards

Step-by-step explanation:

1 mile = 1760 yards.

1 yard = 3 feet

300 feet = 100 yards

1760 + 100 = 1860 yards

Including a 7% sales tax, an inn charges $125.19 per night. Find the inn's nightly cost before tax is added.

Answers

The inn's nightly cost before tax is added is $23.54

Taxes are prices added on top of goods and services

Let the normal price be x

Price including tax = x + 0.07x (note that the tax iss 7%)

Given that Price including tax = $125.19, then;

$125.19 = x + 0.07x

Find the value of x

125.19 = 1.07x

Swap

1.07x = 125.19

x = 125.19/1.07

x = $23.54

This shows that the inn's nightly cost before tax is added is $23.54

Learn more here: https://brainly.com/question/14889413

what is the answer for this Evaluate 3|-3|.

Answers

Answer: 9

Concept:

Here, we need to know the idea of absolute value.

The absolute value of a number or integer is the actual distance of the integer from zero, in a number line.

There are no negatives in absolute value. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive.

Solve:

Given

3 |-3|

Expand absolute value sign, which means making [-3] positive

= 3 × (3)

Simplify by multiplication

= [tex]\boxed{9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

3|-3| = 9

Because absolute value sign |-3|
That mean 3
3*3 = 9
So answer is 9

bantu jawab ya guy's ​

Answers

Hey, i dont know what bantu jawab ya guys mean

-5^2(3)-4(-6)
ILL GIVE YOU POINTS JUST SOLVE

Answers

the answer to this is -51

Answer:

The answer foe the problem is -51

the shopkeeper sold a camera for 2570 and made a loss of rs180 at what price did he/she purchasr the camera​

Answers

purchase they sold it for: $2570

loss= $180

They purchased it for= loss + selling cost

=2570+180

=$2750

Grant has 12 roses, 15 tulips and 20 azaleas. Grant wants to use all of his flowers to create bouquets that are identical to each other. If Grant creates the maximum number of bouquets possible, how many of each flower will be in each bouquet? *

Answers

Answer:

5

Step-by-step explanation:

What is the like terms on this equation

3+5–2x–54-7

Answers

Answer:

3, 5, -54, and -7 are like terms while -2x stays alone.

Step-by-step explanation:

3+5-2x-54-7=0

3+5-2x-61=0

5-2x=61-3

5-2x=59

-2x=59-5

-2x=54

(-x)=54/2

(-x)=27

x=-27

List three different properties of a square

Answers

Answer:

All four sides of a square are equal in length, all interior angles of a square are right angles, all sides are parallel to an opposite side

Step-by-step explanation:

These are just 3 simple properties of many properties of a square. Obviously, a square is a quidrilateral that has four equal sides. Therefore, it makes all interior angles of the shape the same. And it is also a parallelogra, meaning that opposite sides are parralell to one another.

plz help me i need help
part A inputs: 7 8 9 10 11 outputs: 8 9 10 11 12






What is the rate of change of the equation from Part A?


Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?




Is the relation in your data a function? Why or why not? Could the equation in the input and outputs represent a function? Why or why not? Explain your answer.

Answers

Answer:

inputs:outputs

7:8

output is equal to input plus one

Step-by-step explanation:

award brainliest

1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

Answers

Step-by-step explanation:

ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.

In ∆ABD and ∆BAC

•AD=BC. (given)

•<DAB=<CBA (given)

•AB=BA. (common side)

Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}

please help me with this math is for my homework​

Answers

Answer:

3 9/40 is the answer The decimal form of that is 3.225

Step-by-step explanation:

Explanation is on image, using calculator.

Answer:

it is 3 9/40 or 129/40

Step-by-step explanation:

hope that helps

(HELP ASAP PLEASEE!!)
How much interest would u pay on a $930 loan at 6% simple interest rate at the end of 18 months

Answers

Answer:

18month=1.5 year

Interest = 0.06*930*1.5=$83.7

can someone help me plz

Answers

Answer:

The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.

Step-by-step explanation:

Answer:

Length = 12

Midpoint = 1

Step-by-step explanation:

to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.

ALGEBRA II! i need help with #2 with the same steps i took on #1

Answers

there you go!!!!!!!!!!!!:o

Your deposit $2513.45 into a savings account. The interest on the account is
compounded annually at 4.35%. How much will be in the account after 3 years?
CORRECT ANSWER GETS MARKED AS BRAINLYEST

Answers

Answer:

£2,855.93

....................

13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.

DG*DE/2 = GE * DF/2            Multiply both sides by 2

DG*DE = GE * DF

DG = 8

DE = 15

GE = 17

8*15 = 17* DF

120 = 17 * DF                         Divide by 17

120/17 = DF

DF = 7.06

Factoring binomials with the difference of squares

Answers

Answer:

Step-by-step explanation:

Three men build a wall in 10 days. How long will it take five men

Answers

Answer:

Step-by-step explanation:

By proportion it takes

3/5 * 10

= 6 days.

Using static equilibrium calculations, calculate the length from the fulcrum to the
resistance force.

Answers

Answer:

kdfbfnfffjjjjjjjjjjskslosksndbdd

At a bake sale there were 52 items sold total. If 24 of the items sold were cookies and the rest were brownies what is the ratio of brownies sold to cookies sold?

Answers

52=24 + b
to find b, you just subtract (52-24)
28 to 24 is our ratio
we can simplify this (just like fractions!) since both are even, let’s do it by 2!
28/2 = 14 and 24/2 = 12
simplify once more and you get our ANSWER: 7:6

Answer plz
Determine the answer to 3 + (−5) and explain the steps using a number line.

Answers

Answer:

The answer is –2

Step-by-step explanation:

The reason its –2 is because on a number line

[tex]3 + ( - 5) \\ [/tex] For example, if you have 3 eggs and you are to remove 5 eggs ( i used removed as in subtract) how many eggs are you gonna hv just so you know yea

+ – + = +– - – = –+ – – = –– – + = –so if ur gonna use a calculator add the brackets in the question it will give u –2


Determine the value of x.
A) 78°
B) 160°
OC) 80°
D) 240°

Answers

Answer:

c

Step-by-step explanation:

Use the domain and range of each of the following relations to determine which is a function. a. {(7,5), (-6,0), (2,3)} b. {(7,5), (-6,0), (-6,-2), (2,3)} c. {7,-6,2,-7} d. {(7,5), (-6,0), (7,3)}

plz hurry its timed

Answers

Answer:

A.  {(7,5), (-6,0), (2,3)}

Step-by-step explanation:

All of the x values do NOT repeat

I hope this helps!

pls ❤ and mark brainliest pls!

What is the shape of the distribution shown below?
Choose 1 answer:
The distribution is symmetrical.
B
The distribution is not symmetrical.
Age of each intramural volleyball participant
PLEASE HELP❌❌❌

Answers

Answer:

B. The distribution is not symmetrical.

Step-by-step explanation:

In order for the distribution to be symmetrical, the median line (line in the box) should be in the center. This box plot is more positvely skewed.

The answer for the question is b

What is the answer to -x-(-10x) work

Answers

Answer:

9x is the answer

Step-by-step explanation:

-x-(-10x)

-x+10x

9x

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-x - (-10x)}[/tex]

[tex]\huge\text{= -1x - (-10x)}[/tex]

[tex]\huge\text{= -1x + 10x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (-1x + 10x)}[/tex]

[tex]\huge\text{= 9x}[/tex]

[tex]\huge\text{Answer: \textsf{9x}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

−9+x ≤ 4
what is x

(so it passes:iuyhtgfghuytg)

Answers

Answer:

[tex]x \leqslant 13[/tex]

Step-by-step explanation:

[tex] - 9 + x \leqslant 4 \\ x \leqslant 4 + 9 \\ x \leqslant 13[/tex]

Hello!

For this type of problem, treat the “less than or equal to” sign as an equal sign!

So, -9+x=4

Now, it is as simple as solving for “x” just like a regular algebra problem. Add 9 to both sides to get “x” by itself:

-9+x+9=4+9

Now you have:

X= 13

Plug the “less than or equal to” sign back into the equation:

X ≤ 13
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