the volume of a rectangle gift box is 98 cubic inches. the height is 4 inches and the width is 3 1/2 inches.what is the length of the gift box

Answers

Answer 1
Use the formula for volume of a box. Fill in the given values and solve for the remainder.

V = L*W*H . . . . . . . . . . . . . . . . . formula for volume of cuboid shape
98 in^3 = L*(3.5 in)*(4 in) . . . . . with given numbers filled in
98 in^3 = L*(14 in^2) . . . . . . . . . multiply
(98 in^3)/(14 in^2) = L . . . . . . . . divide by the coefficient of L
7 in = L . . . . . . . . . . . . . . . . . . . . simplify

The length of the box is 7 inches.

_____
You will note that the units, inches, square inches, cubic inches, can be treated as though they were a variable. Just as z^3/z^2 = z, so does in^3/in^2 = in. This can help you make sure you're doing the math properly. If the units come out wrong, there's high probability the numbers are wrong, too.

Related Questions

Which is C= 100w/l solved for w?
A.)W=100CL
B.)W= LC/100
C.)W= 100C/L
D.)W= 100/LC

Answers

[tex] C = \dfrac{100w}{L} [/tex]

w is on the right side multiplied by 100/L.

[tex] C = \dfrac{100}{L} \times w [/tex]

Now multiply both sides by the reciprocal of 100/L,
which is L/100, to isolate w.

[tex] C \times \dfrac{L}{100} = \dfrac{L}{100} \times \dfrac{100}{L} \times w [/tex]

[tex] \dfrac{CL}{100} = w [/tex]

[tex] w = \dfrac{CL}{100} [/tex]

[tex] w = \dfrac{LC}{100} [/tex]

Answer: choice B.

Final answer:

To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.

Explanation:

To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:

Multiply both sides by l to get Cl = 100w.

Divide both sides by 100 to isolate w, which gives us w = Cl/100.

Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.

Please help ‼️ I’m doing functions

Answers

4u+8v=-3u+2v
8v-2v=-3u-4u
6v=-7u
V= (-7u)/6
H(u)= (-7u)/6

Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.

Answers

Apparently, Katie's net sales were $5859 -422 = $5437. Her commission on those sales was 0.05*$5437 = $271.85.

Katie earned $271.85.
Final answer:

Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.

Explanation:

In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).

Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:

Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.

So, Katie Fulton's gross earnings would be $271.85.

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Can someone help me and also try to explain how they got their answer

Answers

The answer to this is 2/3.
Hey There Mate!

Your answer should be 2 over 3 ,

2 thirds,

2/3

I wish you the best of luck Buddy!

Help ASAP
Nina is participating in a swim-a-thon to raise money for a charity. For every lap that Nina swims, her grandmother has promised to donate $2.50. If Nina swims 18 laps, how much will her grandmother donate?

A.$45.00
B.$20.50
C.$18.00
D.$7.20

Answers

it will be $45.00 $20.50
A. $45.00, 2.50 x 18

If five people share three cartons of Chow mein, what is each person sharing

Answers

so u do 5/3 = 1.666
         



Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′? A′(4, 6), B′(6, 10), C′(7, 4) A′(2, 3), B′(3, 5), C′(7, 4) A′(4, 6), B′(6, 10), C′(14, 8) A′(4, 6), B′(3, 5), C′(14, 8)

Answers

Hello,

When you dilate a shape by a scale factor of 2, you simply multiply the coordinates by 2.

Therefore, the points become:
A(2, 3)  ===>  A'(4, 6)
B(3, 5)  ===>  B'(6, 10)
C(7,4)   ===>  C'(14,8)

Good luck,
MrEQ

The Answer is C for plato

Arlene Frank is saving money for her college

Answers

Can you please include a question please? Thank you
With all respect may you say or continue the question do we can help you out. Thank you so very much

Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.

Could you work it out also!

Answers

S = √3*2,115,072/ 136 =216

You have 4/6 cup of cornmeal in your cupboard. A recipe for 2/5 muffins calls for cup of cornmeal. How much cornmeal would you have left if you made the muffins?

Answers

4/15 is the answer
:)
4/15 is the answer to the problem

Find the value of x in the solution to the system of equations shown.

A. x = 2.33


B. x = 3


C. x = 4.2


D. x = 5.4

Answers

Substitute the value of y into the second equation
y = 14x - 6
y = -4x + 48

14x - 6 = -4x + 48
add 6 to both sides
14x = -4x + 54
add 4x to both sides
18x = 54
divide both sides by 18
x = 3

The option is B.) x = 3

Hope this helps!

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The system of linear equations is given below.

y = 14x - 6               ...1

y = -4x + 48            ...2

From equations 1 and 2, then the value of the variable 'x' will be given as,

14x - 6  = -4x + 48

14x + 4x = 48 + 6

18x = 54

x = 3

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

More about the solution of the equation link is given below.

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Express 23,495 in scientific notation.

Answers

2.3495x10^4th. Count how many places you move the decimal, that is what power you apply to 10 after converting it to a decimal.

John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how many batches can john make?

Answers

1/7 gallon  = 1 batch 

[multiply by 7 through]
1 gallon = 7 batches

[multiply by 8/9 through]
8/9 gallon = 7 x 8/9
8/9 gallon = 6 2/9 

[Good enough to make 6 batches, not enough to make 7 batches]

So he can make 6 batches of collard green


John can make 6 whole batches of collard greens with 8/9 of a gallon of apple cider vinegar, accounting for each batch requiring 1/7 of a gallon of vinegar.

The question asks how many batches of collard greens John can make with 8/9 of a gallon of apple cider vinegar, considering that each batch takes 1/7 of a gallon.

To find the answer, divide the total amount of vinegar John has by the amount of vinegar required for one batch:

Total amount of vinegar John has: 8/9 gallon

Amount of vinegar required for one batch: 1/7 gallon

Now, we use division to find out how many batches can be made:
(8/9),  (1/7)

Multiply the first fraction by the reciprocal of the second fraction: (8/9) * (7/1)

Simplify the multiplication: (8 * 7) / (9 * 1)

Calculate the result: 56/9

Finally, we determine how many whole batches John can make, since partial batches are generally not considered. As 56/9 is equal to 6 with a remainder, John can make 6 whole batches of collard greens.

Use the distributive property to simplify the expression (12 + 10x) 1/2

Answers

Answer:

2(5x + 6)

Step-by-step explanation:

i think you need to rearrange 12 + 10x which that is also 2(5x + 6) ?

sorry if i didn't explain well  

Answer:

i Don’t understand

Step-by-step explanation:

pls give me brainliest for the love of god

on the left bottom, im not sure what to do there

Answers

I believe that it wants you to classify the kind of triangle each triangle is, but I’m not sure.

A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?

PLEASE HELP!!!

Answers

To figure this out you could use trial and error. I started with trying 60 mph for the freight train which means the passenger train would go 180 mph. This gave me too big of a difference (540-180 after they each travel three hours).

Then I tried 50 mph and 150 mph, and it was still too big(450-100).

When I did 40 mph it was 120 travel miles for the freight train, and 360 travel miles for the passenger train. This was the difference of 240 miles that was needed.

So the freight train traveled 40 mph and the passenger train traveled 120 mph.

Answer:

passenger was 120 and freight was 40

Step-by-step explanation:

An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.

Overnight 2-Day Standard Total
Group 1 27 20 53 100
Group 2 32 17 51 100
Group 3 34 19 47 100



The online store has 2755 customers one day.

Based on the samples, what is a reasonable estimate of the number of people who will use overnight delivery?

Enter your answer rounded to the nearest whole number in the box.

Answers

The answer is 854 for sure. I did the test and got it all right.

Answer:

854 customers.

Step-by-step explanation:

An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.

                          Overnight           2-day           Standard             Total

Group (1)                 27                     20                   53                   100

Group (2)                32                     17                    51                    100

Group (3)                34                      19                   47                    100

Total customers     93                     56                   151                  300

We have to calculate the number of people who will use overnight delivery.

Out of 300 customer there are 93 people who would use overnight delivery, so the percentage = [tex]\frac{93}{300}[/tex] × 100 = 31%

The online store has 2755 customers one day.

Therefore, 31% of the 2755 customers = [tex]\frac{31}{2755}[/tex] × 100 = 854.05 ≈ 854 customers.

854 customers would use overnight delivery.

Which of the following is true about the age of rock layers and the age of the Earth? A. All rock layers are older than the Earth. B. The Earth is older than any rock layer. C. The bottom layer in a sequence of rock layers is older than the Earth. D. The top layer in a sequence of rock layers is older than the Earth.

Answers

Final answer:

The Earth is older than any rock layer. This fact is determined through the use of principles like the law of superposition and radioactive dating methods, such as uranium-lead dating. The oldest rocks on Earth have been dated to be almost 4.4 billion years old, whereas the Earth itself is estimated to be around 4.5 billion years.

Explanation:

This is based on geological principles and radioactive dating methodologies. One of the foundational principles in geology is the law of superposition, which states that in an undisturbed sequence of rock layers, each layer is younger than the one below it.

The age of Earth is estimated to be around 4.5 billion years. We can deduce this from radioactive dating methods, such as uranium-lead dating. In this method, the oldest rocks on Earth, known as the Jack Hills zircons from Australia, have been dated at almost 4.4 billion years old.

Given these findings, it is understood that no existing rock layer can be older than the Earth itself.

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B. The Earth is older than any rock layer.

The Law of Superposition states that in an undeformed sequence of sedimentary rocks, the bottom layer is the oldest and the top layer is the youngest. Applying this principle to the Earth's rock layers, we can conclude that the Earth is older than any rock layer as the layers closer to the surface are younger compared to those at the bottom.

55% decrease followed by a 25% increase

Answers

changed both of them to a fraction 

What is the median of the data set represented by the dot plot?


Enter the answer in the box.


Answers

Answer:

The median is 14.

Step-by-step explanation:

You count 4 dots on both side and in the middle is 14 so 14 is the median.

Answer: 14

Step-by-step explanation: count 4 dots on both side and in the middle is 14

PLEASE HELP!
Drag and drop an answer into each box to correctly complete the statement

Answers

Sometimes a drawing can help.

PC = P'C . . . and . . . m∠ACP = 90°

Answer:

A reflection is a transformation that maps point P in a figure, over a line AB, such that for point C at the intersection of AB and PP', PC = PC' and m∠ACP = 90°

Step-by-step explanation:

After the reflection of P across the line AB, P' is created, where PP' and AB are perpendicular. Given that point C is at the intersection of the lines, then m∠ACP = 90° and PC = PC'.  

nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain

Answers

the answer isn't reasonable. the actual circumference is 15.386

The circumference of circle is given by :

[tex] C =2\pi r [/tex]

where r is radius of circle and pi =3.14

Radius = half of diameter

Radius = (1/2) *4.9 = 2.45 in.

Now let us plug the value of radius in the formula for circumference.

[tex] C =2(3.14)(2.45) [/tex]

C = 15.386 inches

But circumference found by Nadiyah is 20 inches.

So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.

How can I find the Slope intercept

Answers

Y=m(x)+B is the slope intercept formula 
Y =max+b that’s the equation

Draw 6 circle make 3 groups shade 1 group

Answers

alright i did it..
what next

I drew 6 circles and i made three groups and i shaded one group......stop pretending that i am a slave.......

Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.

Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5

Answers

Answer: Create intervals, then count the number of countries that fall in each interval.

When you create a frequency table, you have set intervals. In this case, our small number is close to 0 and our largest number is 4.5. We could create an interval for each number. Then, count the number of countries in each.

It would look like:
Interval    Frequency
0-0.99   1
1-1.99   5
2-2.99   5
3-3.99   2
4-4.99   1

0-0.7 | 1  

0.8-1.5 | 4  

1.6-2.3 | 4  

2.4-3.1 | 4  

3.2-3.9 | 0  

4-4.7 | 1

In a square of a side length s, what is the length of a diagonal?

Answers

s - length of a square

d - length of a diagonal

d = s√2

why?

Use the Pythagorean theorem:

d² = s² + s²
d² = 2s²
d = √(2s²)
d = √2 · √s²
d = s√2

Final answer:

The length of the diagonal in a square with side length s is s√2, calculated by using the Pythagorean theorem which relates the side lengths of a right triangle.

Explanation:

To find the length of a diagonal in a square with side length s, we can use the Pythagorean theorem. In a square, the diagonal splits the square into two right triangles. Therefore, the length of the diagonal can be seen as the hypotenuse of a right triangle where the other two sides are both of length s. The Pythagorean theorem tells us that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Here is the step-by-step solution using the Pythagorean theorem:

Let the side length of the square be s.

Since the sides of the square are equal, the lengths of the two sides of the right triangle (formed by the diagonal) are also s.

According to the Pythagorean theorem, the square of the diagonal length d is d² = s² + s².

This simplifies to d² = 2s².

Take the square root of both sides to find the length of the diagonal d = √(2s²).

Therefore, the length of the diagonal is d = s√2.

How do you find the area of a rectangular prism?

Answers

Hey there!

Let's first define what area means. Area is for two-dimensional shapes, and expressions how big something is and to what extent. There are formulas that can measure area because these shapes are totally flat, and there's nothing more to measure.

However, when we have three-dimensional figures such as rectangular prisms, we use surface area. Surface area measures the total area that the object takes up, and is a sum of the areas of all the faces. The formula for surface area of a rectangular prism is:

2(lw + wh + lh)

So if we had:

L = 5
W = 6
H = 3

We would have:

A = 2(5×6 + 6 × 3 + 5×3) =
2(30 + 18 + 15) =
2(48 + 15) =
2(63) =
A = 126 units cubed

Notice how it's units cubed because there's 3 dimensions.

Hope this helps!

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%

Answers

Hi there!

First, we need to find the area of the rectangles.

10 × 5 = 50
9 × 3 = 27

Now, we find the percent of increase.

27 ÷ 50 = 0.54

Convert into a percentage:

0.54 = 54%

And subtract from 100%.

100% - 54% = 46%

The answer is 46%.

Hope this helps!

Answer

46% is the answer. :)

Where does A and B go HURRY ASAP

Answers

Just reflect C and D across the y-axis
C is (-4, -4) so A is (-4, 4)
D is (4, -4) so B is (4, 4)

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six pack of juice cans

Answers

If it is a cylindrical can then we will use the formula (pi)(r)^2(h)

Volume of one can : (3.14)(3.3)^2(12.1)
                               : 413.75

Volume of 6 cans = 413.75 * 6 = 2482.53

To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.

To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.

First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.

Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:

[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]

Now, to find the total volume for a six-pack, we multiply the volume of one can by six:

Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]

Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.

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