Here is a cuboid.

All measurements are in centimetres.

x is an integer.

The total volume of the cuboid is less than
900 cm^3

Show that x < 5.​

Here Is A Cuboid.All Measurements Are In Centimetres.x Is An Integer.The Total Volume Of The Cuboid Is

Answers

Answer 1

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

Answer 2

For given cuboid, x < 5

What is cuboid?

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

Formula of the volume of the cuboid:

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

x < 5

Therefore, for given cuboid, x < 5

Learn more about the volume of the cuboid here:

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Related Questions

Change the mixed number to a fraction: 1 1/2 = _____

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

What is the scale factor and how do you find it?

Answers

Okay I’m figuring it out

Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the
triangle is right

Answers

Answer:

find the squares of both numbers

5²= 25

13²=169

minus the squares

169-25=144

find the square root of the answer above

✓144=12

the possibility of the third side is 12

Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)

Answers

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m


Rodger has 22 coins, all quarters and nickels. The total value of the coins is $2.70. How many of each type of coin does he have?

Answers

Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

3
A specific shade of paint requires 3 part red to 5 parts blue. How
much blue paint must be added to 2 cups of red paint to create the
desired shade?
a. 1 1/5c
b. 3 1/3c
C. 40
d. 5c

Answers

B - 2 = 3 parts so 0.6666~ = 1 part, multiplied by 5 to get the blue

What is the average of 4 1/2, 3 1/3, 2 , 2 1/6

Answers

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

[tex]4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12[/tex]

[tex]\frac{12}{4} =3[/tex]

[tex]Answer: 3[/tex]

Sumita is following this recipe to make flapjacks.
Sumita uses 25 g of sultanas.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
250 g margarine
175 g sugar
125 mL syrup
250 g oats
50 g sultanas

Answers

Answer:

7......do you need explanation?

PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST

Answers

Answer:

363.0449

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

To find a squared, add  13 squared plus 5 squared then find square root.

13.93 is about it.

Then do 13 squared plus 13.93 squared and find the square root.

363.0449

What is the length of line segment HJ?

Answers

The answer is 5 radical 3

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

-X + 5+ 4x
simplify the expression

Answers

Answer:

3x+5

Step-by-step explanation:

combine like terms, and get 3x+5

For the function g(x) =10 x ^5/x-2, what is the inverse function?

Answers

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

20.8 = 4( z+1.1)
What is Z ?

Answers

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

y= -3x + 1 and y= x - 3

Answers

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

A triangle with base 11 and height 8

Answers

Answer:

how can you ask perfectly...

 examples on how you use is mathematics inside or outside of school

Answers

Homework, discounts at the grocery store, number of items

someone plz help meee

Answers

Answer:

33d

Step-by-step explanation:

33 is the total fish in each tank

d represent the number of tanks

To find the total fish we multiple 33 and d

33 x d = total fish

so 33d is the correct expression

33 D I think that’s it

HELPPPPPP SOMEONE PLEASE

Answers

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

PLEASE HELP ITS DUE SOON, ILL GIVE BRAINLEST

Answers

Answer:

2

Step-by-step explanation:

(6*2.5)/6.5 = 30/13

Answer:I think its B 30/13

Step-by-step explanation:

I used a calculator

Write about a
way
how
you have used mathematics inside or outside of school. *


Plsss help it is important

Answers

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
2 + c = 7

c = 7

c = 9

c - 2 = 7

Answers

Answer:

Step-by-step explanation:

c =7

Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?

Answers

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

What would number 35 and 36 Be?

Answers

Answer:

35 c 36 d

Step-by-step explanation:

Mark dug a 20 foot hole in 4 hours. Which rational number shows the average depth Mark dug each hour? Check all that apply.


(A) –5


(B) [tex]\frac{-20}{4}[/tex]


(C) −[tex]\frac{4}{20}[/tex]


(D) −[tex]\frac{20}{4}[/tex]


(E) [tex]\frac{-4}{20}[/tex]


(F) [tex]\frac{-20}{-4}[/tex]

Answers

Answer:

A,B,D

Step-by-step explanation:

it just has to equal -5 lol

Answer:

A,B,D

Step-by-step explanation:

if a function is y = x - 8 , then what is the value of the function when x = 10

Answers

Answer:

2

Step-by-step explanation:

Richard Hoskins was the leader of a 4-H club with 27 children. When he divided the club into groups of 5 to play a game, how many groups did he have? How many extra children were there?

Answers

Answer:

5 groups

2 extra children

Step-by-step explanation:

The computation of a number of groups and number of extra children is shown below:

Given that

There is 27 children

And, this group would be divided into group 5

So,

As we know that 25 is easily divided by 5

So there are 5 groups

And, the extra children is

= 27 - 25

= 2 chidren

1.When two variables are proportional which of the following is constant?
(1) their sum
(3) their product
(2) their ratio
(4) their difference

Answers

Answer:

Their Ratio

Step-by-step explanation:

You switched the numbers 2 and 3 btw

[tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio

A ratio indicates how many times one number contains another.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

When two variables are proportional, [tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio is constant.

For more information:

https://brainly.com/question/25343092?referrer=searchResults

6- Karen is making a frame for a square picture with an area of 169 square inches. How
many inches of framing are needed?
a) 13
b) 14
c) 15
d) 16



PLEASE HURRY! I WILL MARK YOU BRAINLIST OR WHATEVER... IF YOU DO IT PLEASE

Answers

Answer: a

Step-by-step explanation:

Tell me if it is correct

Given : A toy car is placed on the floor. Its movement details are given

Answers

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

Learn more:

Figure given below shows the graph of velocity v ofparticle moving ...

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Figure given below shows the graph of velocity v ofparticle moving ...

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The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Write the algebraic expression for the situation. I have 3 times as many
chickens as Bob. (Use b as the variable for Bob).

Answers

Answer:

Y= 3b

Step-by-step explanation:

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