Assume a cube has side lengths of 2 inches. What is the area of the base of that cube? Does it matter which face we call the base? What is the volume of that cube? Instead, assume the cube has side lengths of 3 inches. What is the area of the base now? The volume? Based on that, what do you think the relationship is between side length, area, and volume? Would that still be true even if it is not a cube? (Put another way, if the side length is x, what is the area and volume?)

Answer:

A

Step-by-step explanation: If you add 33 and 23 it'll give you 56.If you subtract them you will get 10.

Therefore, you're answer is A.

Answer: The probability is that it has a 50/50 chance of landing on either side

Step-by-step explanation:

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

6.3% chance

Step-by-step explanation:

Answer:

A perfect square is a number whose product value is an integer. If you change any integer you will always get a even number.

Step-by-step explanation:

Answer: 5.75

Step-by-step explanation:

Answer:

5.75

Step-by-step explanation:

you divide 23 by 4 and it will give you your answer . the first answer is also correct

Answer:

142.76 inches

Step-by-step explanation:

This is a combination problem, so add the two quantities to find the sum.

134.46 inches + 8.3 inches = 142.76 inches

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

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Answer:

C+B

Step-by-step explanation:

you add A + B = C

Answer:

A=10

B=35

Step-by-step explanation:

Answer:

17 horses and 19 geese

Step-by-step explanation:

Let x be the number of horses and y be the number of geese

We know that, horses have four feet and geese have 2 feet

It is given that

x+y=36 (i)

and

4x+2y=106 (ii)

Solve the two equations simultaneously by substitution,

From equation (i)

y=36-x (iii)

Substitute y with 36-x in equation (ii)

4x+2(36-x)=106

4x+72-2x=106

4x-2x=106-72

2x=34

x=17

Then

Substitute x=17 to equation (iii)

y=36-17=19

x=17, y=19

We therefore have 17 horses and 19 geese

Answer:

y=  3/4

Step-by-step explanation:

Answer:

y=3/4

Step-by-step explanation:

4/3y=1

divide both sides by 4/3

1 divided by 4/3 is 3/4 so:

y=3/4

Answer:

198

Step-by-step explanation:

From the equation, the number of lemonade will be 306.

Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:

= $245/70

= $3.5

The price of a glass of lemonade is 2.7 times less, the price will be:

= $3.5 - $2.7

= $0.8

Therefore, the number of lemonade that can be bought will be:

= 245/0.8

= 306

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Answer:

11/5

Step-by-step explanation:

2 x 5 = 10

10 + 1 = 11

11/5

Answer:

(2x+1)^2 or 4x^2+4x+1

Step-by-step explanation:

I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1

You first need to find g(x) which is 2x+1

You then take the f(x) function and replace x with 2x+1

This means our new equation is

(2x+1)^2

Your teacher may or may not want you stop here, really only you know the answer to that

But if we expand this we'll find that (2x+1)^2=4x^2+4x+1

The equivalent expression of (f o g) is 4x² + 4x + 1.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions are given.

f(x) = x²

g(x) - 2x + 1

Now,

(f o g)(x) = f(g(x))

g(x) - 2x + 1

So,

f(g(x)) = f(2x + 1)

Now,

f(2x + 1)

= (2x + 1)²

= 4x² + 4x + 1

Thus,

The expression of (f o g) is 4x² + 4x + 1.

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Answer:

2.57 yards longer

Step-by-step explanation:

Step one:

given data

We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles

Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards

Required

Unit conversion from yards to miles

Step two:

let us convert 41,940 yards to miles

We know that 1 yard is 0.000568182 miles

hence 41,940 yards is x miles

cross multiply we have

x= 41,940*0.000568182

x=23.83 yards

Hence the difference in their lengths is

=26.4-23.83

=2.57 yards

Answer:

480/11

Step-by-step explanation:

8:11 as x:60

480 = 11x

x= 480/11

Pls mark Brainiest :)

Answer:

none of the answers are correct because 2 and 5 are across      

( don't know how to explain it) and they have to be the same

Answer:

D) 2X + 4Y = 6

      3X - 4Y =9

Step-by-step explanation:

Hope this helps

Answer:

first one buddy

Step-by-step explanation:

Answer:

5 yd

Step-by-step explanation:

a = l x w

w = a ÷ l

w = 80 ÷ 16

width = 5 yd

Answer:

M = rise/run is the formula

Step-by-step explanation:

That's it

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

[tex]3(4 - 2x) = - 2x[/tex]

[tex]12 - 6x = - 2x[/tex]

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

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

x = -6

Step-by-step explanation:

4x - 2 - 8x = 22

-4x - 2 = 22

-4x = 24

4x = -24

x = -6

Answer:

I got -9x^3-10x^2+10x-2

Step-by-step explanation:

Answer:

6a + 6 is answer

Step-by-step explanation:

may be this is helpful!

Answer:

the ones with 16 dollar jeans

Answer:

187.96cm

Step-by-step explanation:

Answer:

187.96 centimeters tall