the area of the larger square is ____ times larger than the area of the small square

Answer:

Length = 8 inches

Width = 4 inches

Height = 6 inches

Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

Let

Width = x

Length = 2x

Height = x + 2

Volume of a box = length × width × height

192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

192 = 2x^3 + 4x^2

Divide through by 2

96 = x^3 + 2x^2

Subtract 96 from both sides

x ^3 + 2x^2 - 96 = 0

Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

So,

Divide both sides by (x^2 + 6x + 24).

0 ÷ (x^2 + 6x + 24) = 0

So,

(x - 4) = 0

x = 4

Width = x = 4 inches

Length = 2x

= 2(4)

= 8 inches

Height = x + 2

= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

= (8 * 4 * 6) inches

= 192 inches

Answer: 1 hour 42 minutes

Answer:

1 hour and 42 minutes

Step-by-step explanation:

Answer:

Angles 1 and 3 are 151 degrees and angle 2 is 29 degrees

Step-by-step explanation:

2 and 4 are opposites so they will be the same measurement and 1 and 3 are easy to find. Just subtract 29 from 180.

Answer:

-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) y = 2x – 7  and f(x) = 7 – 2x

Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

B) 3x = y – 2  and f(x) = 3x – 2

Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

C) f(x) = 3x2 + 5 and y = 3x2 + 5

Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.

D) None of the above

Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

Answer:

it's x= 1±sqrt(47)

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x-2=11x-34

-2+34=11x-7x

32=6x

x=32/6=16/3

will be nice if you give me brainlies.Good luck!

Answer:

The square root of 16 is a rational number. The square root of 16 is 4, an integer.

Answer:

it is irrational

Step-by-step explanation:

but since the digits in π (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction. Therefore it is an irrational number.Mar 14, 2017

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

Answer:

Step-by-step explanation: i thimk 5,2

Step-by-step explanation:

Hey there!

The points are; A(-2,3) and B(X,-5). And the distance between them is (√80) units.

We have;

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Keep all values.

[tex] \sqrt{80} = \sqrt{ {(x + 2)}^{2} + {( - 5 - 3)}^{2} } [/tex]

Squaring on both sides.

[tex] { (\sqrt{80}) }^{2} = ( { \sqrt{( {x + 2)}^{2} + ( { - 8)}^{2} } )}^{2} [/tex]

Simplify them.

[tex]80 = ( {x + 2)}^{2} + 64[/tex]

[tex]( {x + 2)}^{2} = 80 - 64[/tex]

[tex]( {x + 2)}^{2} = 16[/tex]

[tex]( {x + 2)}^{2} = {4}^{2} [/tex]

Cancel square from both sides.

[tex]x + 2 = 4[/tex]

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

Hope it helps....

(80)2=((x+2)2+(−8)2)2

Simplify them.

80 = ( {x + 2)}^{2} + 64

80=(x+2)2+64

( {x + 2)}^{2} = 80 - 64

(x+2)2=80−64

( {x + 2)}^{2} = 16(x+2)2=16

( {x + 2)}^{2} = {4}^{2}

(x+2)2=4^2

Cancel square from both sides.

x + 2 = 4

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

Answer:

6x12

Step-by-step explanation:

Answer:

6 multiplied by 12

Step-by-step explanation:

you have 6 bags, each bag contains 12 flyers

Answer:

2 a

No the solution is not the same for both moves.

because the result is not the same.Also the first move lead to an error.

2 b

The solution is d=0

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Answer:

85 % = 17/20

Step-by-step explanation:

It is given that,

85% of the land is above 4,000 feet in elevation.

We need to write a fraction that is equivalent to 85%.

We know that, percent means dividing by 100 i.e.

[tex]85\%=\dfrac{85}{100}[/tex]

We can write 85 as 17×5 and 100 as 20×5

So,

[tex]\dfrac{85}{100}=\dfrac{17\times 5}{20\times 5}[/tex]

5 will cancel out from numerator and the denominator

[tex]\dfrac{85}{100}=\dfrac{17}{20}[/tex]

Hence, the correct option is (c).

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Hope this helps. :)

x > 6

Hi there !

1/2 x + ²⁾3 < ²⁾2x - ²⁾6

x + 6 < 4x - 12

6 + 12 < 4x - x

18 < 3x

3x > 18

x > 18/3

x > 6

Good luck !

Answer:

20 months.

Step-by-step explanation:

Let the number of months be represented as x

Apartment A is $1200 per month and requires a security deposit of $1000.

= $1200 × x + $1000

1200x + 1000

Apartment B is $1175 per month and requires a security deposit of $1500.

= $1175 × x +$1500

1175x + 1500

Apartment A = Apartment B

1200x + 1000 = 1175x + 1500

Collect like terms

1200x - 1175x = 1500 - 1000

= 25x = 500

x = 500/25

x = 20

Therefore, the costs for both apartment A and B will be the same after 20 months.

Answer:

m = [tex]-\frac{1}{10}[/tex]

Step-by-step explanation:

To find the slope you use the equation y2-y1 / x2 - x1. For this problem, it would be 4 - - 5/ 4 - - 6. If we simplify this you will get 9/10. Therefore, The slope of the line will be 9/10.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Two parallel lines have the same slopes thus ;

The line which we want should in form like this :

y = - 2 x + h

(( h )) can be any positive and any negative number.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

x > -4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x + 14 > 10

Step 2: Subtract 14 from both sides.

x + 14 − 14 > 10 − 14

x > −4

Hope it helps!

Answer:

We start with the equation:

(3 + 4x) + (2 -x) = 5 + 3x

Now we replace:

x = i

This is just changing all the "x"s in the equation by "i"s:

(3 + 4i) + (2 - i) = 5 + 3i

This can be viewed as 3 complex numbers:

z1 = 3 + 4i

z2 = 2 - i

z3 = 5 + 3i.

Now, let's check if equality remains true:

(3 + 4i) + (2 - i) = 5 + 3i

The first step is to use the associative and commutative properties to separate the real and imaginary parts.

(3 + 2) + (4i - i)

5 + (4 - 1)*i

5 + 3i

Then the equality remains true.

And this will be true always, for anything that we feed into the x in our initial equation:

(3 + 4x) + (2 -x) = 5 + 3x

This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Iready 100%

Answer:

The range is more consistent with pure cow manure, but the mixture of cow manure and mashed bananas creates more biogas overall.

Answer:

x=-38

Step-by-step explanation:

8x+51=6x-25

2x= -76

x= -38

Answer:

I guess Letter B. One Larger, More stable nucleus

It produces nearly all the elements that are heavier than helium..

Answer:

Answer A

Step-by-step explanation:

Edge 2021

Answer:

10 teaspoons

Step-by-step explanation: