a box in the shapr of s rectangular prism has a length of 3 5/8 inches, a width of 2 1/2 inches and a height of 4 inches. what is tje volume of the box?

Answers

Answer 1

Answer:

V = 36 1/4 in.^3

Step-by-step explanation:

V = LWH

L = 3 5/8 in.

W = 2 1/2 in.

H = 4 in.

V = (3 5/8)(2 1/2)(4) in.^3

Change the mixed numerals to fractions.

To change the mixed numeral a b/c to a fraction, do this:

a b/c = (ac + b)/c

V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1

V = (24 + 5)/8 * (4 + 1)/2 * 4/1

V = 29/8 * 5/2 * 4/1 in.^3

V = 580/16 in.^3

V = 145/4 in.^3

V = 36 1/4 in.^3


Related Questions

Express (x+7)^2(x+7)^2 as a trinomial in standard form.

Answers

Answer:

[tex]x^{4}+28x^3+294x^2+1372x+2401[/tex]

Step-by-step explanation:

[tex](x+7)^{2} (x+7)^2 = (x+ 7)(x+7)(x+7)(x+7)\\(x^2+7x+7x+49)(x^2+7x+7x+49)=(x^2+14x+49)(x^2+14x+49)\\x^4+14x^3+49x^2+14x^3+196x^2+686x+49x^2+686x+2401\\x^4+28x^3+294x^2+1372x+2401[/tex]

The product of 6 and t divided by 7

Answers

Answer:

1.000

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEEEEE

Answers

It is A

Because if it is a & negative it will work either way if you try all of them.

Answer:

The answer would be C.

PLEASE HELP!!!!
ANSWER NOW!!!

Answers

Answer:

C is your answer

Step-by-step explanation:

Using the diagram above solve for y

Answers

Answer:

y = 31°

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

If s ( x ) = 2 - x² and t ( x ) = 3x, what is s ( t ( -7 ) )?

Answers

Answer:

- 439

Step-by-step explanation:

s ( x ) = 2 - x² t ( x ) = 3xs ( t ( -7 ) ) = ?

--------------------------

t (-7) = 3 * ( -7 ) = -21s ( t ( -7 ) ) = s ( -21 ) = 2 - ( -21 )² = 2 - 441 = - 439s ( t ( -7 ) ) = -439

A student believes she can earn at least $5200 from her summer job. She knows that she will have
to buy four new tires for her car at $90 each. She estimates her expenses while she is working at
$660. How much can the student save from her summer wages?

Answers

Answer:45 dollars

Step-by-step explanation:

Jk just trying to get brainly points

If A(2, x) , B(x, 8) and AB = 3√2 cm, then x = ?

Answers

Answer:

x =5

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given the points A(2, x) , B(x, 8) and AB = 3√2

On substituting the given values into the formula;

AB = √(x-2)²+(8-x)²

3√2= √(x-2)²+(8-x)²

square both sides

(3√2)²= (x-2)²+(8-x)²

18 = (x-2)²+(8-x)²

expand

18 = x²-4x+4+64-16x+x²

18 = 2x²-20x+68

2x²-20x+68-18 = 0

2x²-20x+50 = 0

x²-10x+25 = 0

Factorize

x²-5x-5x+16 = 0

x(x-5)-5(x-5) = 0

(x-5)(x-5) = 0

x-5 = 0 an x-5 = 0

x = 5

byron earns $11.00 per hour will byron have to work to earn $143.00?

Answers

Answer: 13 hours

Step-by-step explanation:

Money earned per hour = $11.00

Amount he plans to earn = $143. 00

Number of hours he will have to work to reach his goal = 143.00/11.00 = 13.

Therefore, Bryon will have to work of 13 hours to earn $ 143.00

Answer:

13 hours!

Step-by-step explanation:

All I did was divide $143.00 by $11.00 and got 13!

Or you could multiply $11.00 by 13 to get $143.00

They give you the same answer!! :D

I NEED HELP PLEASE !!!

Answers

Answer:

  real numbers, including the boundary lines

Step-by-step explanation:

The inequality symbols in this system both include the "or equal to" case, so the boundary lines of the "shaded area" are part of the solution set.

Ordinarily, weight is a continuous variable, so we presume the weights of almonds and cashews may be any real number. The problem statement gives no clarity in that regard, so it is entirely possible that the given nuts will only be delivered in packages with integer weights.

Based on our presumption, the solution set is best described as below.

_____

Additional comments

Each inequality gives rise to a "shaded region," as shown in the second attachment. The solution set will be the doubly-shaded region, limited to the first quadrant. (Quantities of nuts cannot be negative.) Strictly speaking, the answer choices are all incorrect.

Please Help!!! brainliest answer!

Answers

It’s c for sure bro because look at the triangle and the letter trust homie

What is the decimal expansion of 11/40

Answers

Answer:

0.275

Step-by-step explanation:

Using the distributive property and combining like terms to simplify the expression.
-5(x+2)+5(x-5)​

Answers

Answer:

-35

Step-by-step explanation:

-5 (x + 2) + 5 (x -5)

Expand:

= -5x - 10 + 5 (x - 5)

Expand once more:

= -5x - 10 + 5x - 25

Simplify:

-35

Solve for x:
(x+4)/2= 7 ​

Answers

Answer:

x = 10

Step-by-step explanation:

[tex] \frac{(x + 4)}{2} = 7 \\ = > x + 4 = 7 \times 2 \\ = > x + 4 = 14 \\ = > x = 14 - 4 \\ = > x = 10[/tex]

.°. x = 10

Answer:

Given that

2+x/2=7

x/2=7-3

x/2=4

x=4/2

x=2

Emanuel works as a car salesman. He makes $13 an hour plus a commission of 5% on all cars he sells. Last month he worked 40 hours and sold cars worth $120,000. How much did he make last month?

Answers

Answer:

$6520

Step-by-step explanation:

salary = hourly rate * hours + 5% of sales

salary = $13/hour * 40 hours + 0.05 * $120,000

salary = $520 + $6000

salary = $6520

What is 11/12 + ( - 7/12)

Answers

Answer:

1/3

Step-by-step explanation:

11/12 + (-7/12)

11/12 - 7/12 =

4/12 =

1/3

Hope this helps.

2. Mr. Leu is thinking about getting a new cell phone data plan. He looks at two
different cell phone companies US Cellular and Verizon. US Cellular has a plan
where he pays $36 per month and $12 per GB of data he uses per month.
Verizon has a plan that charges $54 per month and $10 per GB of data he uses
per month. How many GB of data would he have to use in a month to make both
plans cost the same? Which plan would you recommend he use?

Answers

Answer:

he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular

Step-by-step explanation:

just because

-2(x+3)5=11 i need help on that

Answers

Answer:

x=-4.1

Step-by-step explanation:

Multiply 5 by −2.

−10(x+3)=11

Divide each term by −10 and simplify.

x+3=−11/10

Move all terms not containing x to the right side of the equation.

x=−41/10

The result can be shown in multiple forms.

Exact Form:

x=−41/10

Decimal Form:

x=−4.1

Mixed Number Form:

x=−4 1/10

Can someone please help me with this question.

Answers

Answer:

h = (A - 9)/6

Step-by-step explanation:

Step 1: Define

A = b² + 2bh

b = 3

Step 2: Substitute

A = (3)² + 2(3)h

Step 3: Evaluate and solve for h

A = 9 + 6h

A - 9 = 6h

(A - 9)/6 = h

How many times larger than 71 is 710?

Answers

Answer:10

Step-by-step explanation:

Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true?
One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
One cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale.
One cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale.
One cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.

Answers

Answer:

A. One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.

Hope this Helps!

Answer:

you answer is A

Step-by-step explanation:

i got it right on the quiz

3 (w+4) + 2=27
3w+12+2w=27
5w+12= 27
-12 -12
5w= 15
—— ——
5 5
w=3

Answers

Answer:

Step-by-step explanation:

3w + 12 + 2w = 27

5w + 12 = 27

5w = 15

w= 3

Aisha has 3 pizzas. She is serving each person at a party 14 of a pizza. How many people can she serve at the party? Use the number line to help you solve the problem.[ Please help TwT]

Answers

Given:

Aisha has 3 pizzas.

She is serving each person at a party 1/4 of a pizza.

To find:

The number of people she can serve at the party.

Solution:

Let the number of people be x.

Number of pizzas is 3. So, each person get [tex]\dfrac{3}{x}[/tex] part of pizza.

It is given that each person get 1/4 of a pizza.

[tex]\dfrac{1}{4}=\dfrac{3}{x}[/tex]

Using cross multiplication, we get

[tex]1\times x=3\times 4[/tex]

[tex]x=12[/tex]

Therefore, the number of persons in 12.

Now, divide the number line in four equal parts between each pair of consecutive integers.

Then, count the marked points from 0 to 3 excluding 0. These points represent number of persons.

Brain can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brain to finish writing his essay. ( round your answer to the nearest tenth)​

Answers

Answer:

Step-by-step explanation:

Every minute he types 50 words, so in 700 he types for 14 min. The next step is that there 375 words already done. So you take 700 and and subtract it by 375 and that is 7. Hope It helped you out

What is the value of x in this expression:
15= 1/2 + 3/2x + 10

Answers

15= 1/2 + 3/2x + 10

X=3

PLEASE HURRY!!


What value of x balances the scale?

Answers

Answer:

X = 5

Step-by-step explanation:

For the equilibrium position of the scale,

Weights on both the sides of the scale should be equal.

Weights on left side of the scale = Weights on the right side

Weights denoting X + Weights denoting (-1) = Weights denoting (X) + Weights denoting (1)

5(X) + 6(-1) = 3(X) + 4(1)

5X - 6 = 3X + 4

5X - 3x = 6 + 4

2X = 10

X = 5

Therefore, For X = 5, scale will be in the balanced position.

''five times the sum of a number and six is 48''

Answers

Hey there! I'm happy to help!

Sum means to add. Let's call our number n.

n+6

We multiply this whole thing by 5.

5(n+6)

And this is 48.

5(n+6)=48

Have a wonderful day! :D

Hey please answer below :)

I will choose the brainiest answer :)

many thanks

Answers

Answer:

1280

106

Step-by-step explanation:

if 1 and -3 are the zeroes of the polynomial xcube - axsquare - 13x + b find the values of a and b​

Answers

Step-by-step explanation:

f(x) = x³ - ax² - 13x + b.

f(1) = 1³ - a(1)² - 13(1) + b = 0

=> 1 - a - 13 + b = 0, b - a - 12 = 0.

f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0

=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.

Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.

=> b - (3) - 12 = 0, b = 15.

What is m< 11?
PLZ HURRY

Answers

Answer:B 55

Step-by-step explanation:

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