if 3 cubic centimeters fill the botton layer of a box and the box fits 6 layers what is the volume of the box

The volume of a box is the product of its dimensions

The volume of the box is 11 unit cube

From the question, we have the following highlights

The volume of a unit cube is:

Volume = 1 unit cube

There are 11 cubes in the box. So, the volume of the box is:

Volume = 11 *1 unit cube

Volume = 11 unit cube

Hence, the volume of the box is 11 unit cube

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Answer:

y = 17

Step-by-step explanation:

11 = y - 6

prove that the value of y is 17

11 = y - 6

proven

Hello.

Let's solve this equation for y.

First, subtract 11 from both sides:

[tex]\mathrm{11-11=y-6-11}[/tex]

[tex]\mathrm{0=y-6-11}[/tex]

[tex]\mathrm{0=y-17}[/tex]

Subtract y from both sides:

[tex]\mathrm{-y=-17}[/tex]

[tex]\Large\boxed{\sf{y=17}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

She would have had $120 more should the rate were 1% greater.

Step-by-step explanation:

At the end of 3 years the amount in the account = Principal + Interest

Amount = 4000 + 960 = 4960

Amount at the end of 3 years = $4960

b) Formula for Rate , R = 100I/(PT)

Where I = Interest = 960, P = Principal = 4000, T= Time = 3 years

R = (100 × 960) / ( 4000 × 3)

R = 8

Rate, R = 8% per annum.

c) If the rate was 1% more, R = 8 + 1 = 9% per annum

Interest, I = PRT/100

Interest, I = 4000 × 9 × 3 /100 = 1080

Amount in her account would have been = $4000 + $1080 = $5080

Amount more = $5080 - $4960 = $120

Answer:

the first answer is 2/6 and 4/6 both (pick)

Step-by-step explanation:

second is 8/12

third is 9/15

fourth is 16/72

fifth is 2/5,

sixth is 4/10

seventh is 8/18

last one is 2/8

Answer:

Four plus a number= a number

Step-by-step explanation:

I got this from my teacher

Answer:

Step-by-step explanation:

We are given the following quadratic equation, 3x² - 1 = 7x, which requires us to find its possible solutions using the quadratic formula.  

The quadratic formula is given by:

[tex]\displaystyle\mathsf{x\:=\:\frac{-b\pm\sqrt{b^2-4ac}}{2a}}[/tex]

We will use this formula to solve for the roots or the solution of the given quadratic equation.

Step 1: transform the given equaton into standard form.

First, we must subtract "7x" from both sides of the equation:

3x² - 7x - 1 = 7x - 7x

3x² - 7x - 1 = 0     ⇒   This is the standard form of the given quadratic equation where a = 3, b = -7, and c = - 1.

Step 2: Plug in the values for a, b, & c into the quadratic formula.

The derived values for a, b, & c from the previous step are:  a = 3, b = -7, and c = - 1.  Substitute these values into the following quadratic formula:

[tex]\displaystyle\mathsf{x\:=\:\frac{-b\pm\sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\displaystyle\mathsf{x\:=\:\frac{-(-7)\pm\sqrt{(-7)^2-4(3)(-1)}}{2(3)}}[/tex]

Step 3: Following the PEMDAS Order of Operations, start by applying the Power rule of Exponents  [tex]\displaystyle\mathsf{(a^m)^n = (a^{m*n})}[/tex] (under the radical) :

[tex]\displaystyle\mathsf{x\:=\:\frac{-(-7)\pm\sqrt{49-4(3)(-1)}}{2(3)}}[/tex]

Step 4: Next, multiply the integers under the radical, PEMDAS Order of Operations.

[tex]\displaystyle\mathsf{x\:=\:\frac{-(-7)\pm\sqrt{61}}{2(3)}}[/tex]

Step 5: Multiply the integers in the denominator, and apply the multiplication integer rule, -(-a) = a.

[tex]\displaystyle\mathsf{x\:=\:\frac{7\pm\sqrt{61}}{6}}[/tex]

Step 6: Separate the solutions.

[tex]\displaystyle\mathsf{x\:=\:\frac{7+ \sqrt{61}}{6}}[/tex]  , and   [tex]\displaystyle\mathsf{x\:=\:\frac{7 - \sqrt{61}}{6}}[/tex]  

Therefore, the solution to 3x² - 1 = 7x  are:  [tex]\displaystyle\mathsf{x\:=\:\frac{7+ \sqrt{61}}{6}}[/tex],  [tex]\displaystyle\mathsf{x\:=\:\frac{7 - \sqrt{61}}{6}}[/tex].

Quadratic equation

Quadratic function

Standard form

Parabola

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Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

Answer:

25.5

Step-by-step explanation:

1530 divided by 60 is 25.5 and 25.5 multiplied by 60 is 1530.

Answer:4.8^10 power of 7

Step-by-step explanation:

Answer:

x>9 I included a picture of the number line as well

Answer:

The answer is 9 > x

Step-by-step explanation:

Hope that helps!

Answer:

X + 5 = 27 or 27 - 5 = X

the answer is $22

Step-by-step explanation:

Answer:

x-5=27 or 27=x-5 or x=27+5

Step-by-step explanation:

let x be the total amount of money Penny has.

after she deducts 5 dollars to pay for her bunny she is left with 27

    therefore

x-5=27 (which is the same as representing it in any other way shown above)

if they ask for X, then solve your equation

x=27+5

x=$32

Answer:

$204.95

Step-by-step explanation:

[tex]\mathsf{monthly \ payment=\dfrac{\frac{r}{12}\times P}{(1-(1+\frac{r}{12})^{-n}}}[/tex]

where:

Given:

Substituting given values into formula:

[tex]\implies \mathsf{monthly \ payment=\dfrac{\frac{0.145}{12}\times 8711}{(1-(1+\frac{0.145}{12})^{-60}}}[/tex]

[tex]\implies \mathsf{monthly \ payment=\$204.95}[/tex]

By finding the number of outcomes that meet each criteria, we will see that the probabilities are:

We know that the fair die has 6 outcomes, so if we roll it twice, there are a total of:

6*6 = 36 outcomes.

To find the probability of getting a given event, we need to find the number of outcomes that make the event true.

A) The sum is greater than 8.

The outcomes that make this true are:

first roll    second roll     sum

 4                   5                 9

 4                   6                 10

5                     5                10

5                    6                 11

6                     3                 9

6                    4                 10

6                     5                11

6                     6                  12

3                     6                   9

So there are 9 outcomes whose sum is greater than 8, so the probability to getting this event is:

P = 9/36 = 0.25

B) The sum is divisible by 5.

The sum must be 5 or 10, the outcomes that give that are:

first roll    second roll     sum

   1                   4                 5

   2                  3                 5

   3                  2                 5

   1                   4                 5

   4                   6                10

  5                    5                10

   6                   4                 10

There are 7 outcomes, so the probability is:

P = 7/36 = 0.194

If you want to learn more about probability, you can read:

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Answer:

graphing done below.

Step-by-step explanation:

using the formula: y - y₁ = m(x - x₁)

equation:

[tex]\sf y - -5 = \frac{1}{3} (x - - 5)[/tex]

[tex]\sf y +5 = \frac{1}{3} x + \frac{5}{3}[/tex]

[tex]\sf y = \frac{1}{3} x + \frac{5}{3}-5[/tex]

[tex]\sf y = \frac{1}{3} x - \frac{10}{3}[/tex]

Answer:

5.63

Step-by-step explanation:

The equation for the first tank will be 175 - 25h and the equation for the second tank is 200 - 25h.

From the information given, the first tank holds 175 gallons of water and the second tank holds 200 gallons of water while the hoses that she uses drain the tanks at a rate of 25 gallons of water per hour.

Therefore, the equation for the first tank will be:

= 175 - (25 × h)

= 175 - 25h

The equation for the second tank will be:

= 200 - (25 × h)

= 200 - 25h

The quantity in the first tank after three hours will be:

= 175 - 25h

= 175 - (25 × 3)

= 175 - 75

= 100 gallons.

The quantity in the second tank after three hours will be:

= 200 - 25h

= 200 - (25 × 3)

= 200 - 75

= 125 gallons.

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Answer:

infinite number

Step-by-step explanation:

We can make infinite number of triangles with two 7-centimeter sides as long as the third side is less than 7 + 7 = 14 cm

Answer:

the answer is D just did the quiz hope this helps!!!!!

Step-by-step explanation:

Answer:

40320 way

Step-by-step explanation:

Given:

In how many ways can 8 people line up for movie tickets?

You can do the following:

⇒ Tree diagram

⇒ List

⇒ Table

⇒ Multiply

Solve:

For me, I like to use Multiply for this question.

1 ×2×3×4×5×6×7×8

2 ×3×4×5×6×7×8

6×4×5×6×7×8

24×5×6×7×8

120 ×6×7×8

720×7×8

5040×8

40320

Hence, in 40320 ways can 8 people line up for movie tickets.

~Learn with Lenvy~

D (last slide) is the graph to the given equation.

As the equation is positive, the line of the graph will give smile shape.

Graph plotted below:

Step-by-step explanation:

x³ - y³ = (x - y)³ + 3x²y - 3xy²

28 = (2)³ + 3xy(x - y)

28 = 8 + 3xy(2)

28 - 8 = 6xy

20 = 6xy → xy = 20/6 = 10/3

(x - y)² = 2²

x² - 2xy + y² = 4

x² - 2(10/3) + y² = 4

x² + y² = 4 + 20/3 = 32/3

x² + xy + y² = 32/3 + 10/3 = 42/3 = 14

Answer:

As Per Provided Information

Given points are (-6,17) & (-6,13).

here

x₁ = -6

x₂ = -6

y₁ = 17

y₂ = 13

We have been asked to find the slope of the line.

Using Formula

[tex] \bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

m is the slope of line

Put the given value we get

[tex] \qquad \sf \longrightarrow \: m = \ \dfrac{ - 6 - ( - 6)}{13 - 17} \\ \\ \\ \qquad \sf \longrightarrow \: m = \ \dfrac{ - 6 + 6}{13 - 17} \\ \\ \\ \qquad \sf \longrightarrow \: m = \dfrac{0}{ - 4} \\ \\ \\ \qquad \sf \longrightarrow \: m = 0[/tex]

Therefore,

Answer:

17 million

Step-by-step explanation:

-0.34([tex]8^{2}[/tex]) + 4.43(8) + 3.46

-21.76 + 35.44 + 3.46

13.68 + 3.46

17.14

Answer: C 17 million

Have an amazing day!

PLEASE RATE!

Answer:

c

Step-by-step explanation:

4 x 4 x 4 x 4 x 4 = 1,024

-----

a. 4

b. 625

c. 1,024

d. 500

e. 80

Hey there!

4 × 4 × 4 × 4 × 4

= 16 × 16 × 4

= 256 × 4

= 256 + 256 + 256 + 256

= 512 + 512

= 1,024

Looking for something that’s equivalent to: 1,024

Option A. is INCORRECT because it is too small.

Option B. 5^4

5^4

= 5 × 5 × 5 × 5

= 25 × 25

= 625

Option B. is also INCORRECT because it is also too small.

Option C. 4^2 × 4^3

4^2 × 4^3

= 4^5

= 4 × 4 × 4 × 4 × 4

= 16 × 16 × 4

= 256 × 4

= 1,024

Option C. could possibly be one of the answers

Option D. 5^2 × 4(5)

5^2 × 4(5)

= 5 × 5 × 20

= 25 × 20

= 500

Option D. is also INCORRECT because it’s too small.

Option E. 4^1 × 4(5)

4^1 × 4(5)

= 4 × 4(5)

= 4 × 20

= 20 + 20 + 20 + 20

= 40 + 40

= 80

Option E. is last to be INCORRECT because it is also too small

MET the ANSWER:

Therefore, your answer is: Option C.

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

if a:c=2:3 andb:c=3:4therefore a:c=2:4

Answer:

The solution is x=0, y=0, z=1

Step-by-step explanation:

Step1:   -row2 + row1;  -row2 + row3

x + 2y - z = -1

 x  + y  + z = 1

 x - y  - z  = -1

 1   2   -1    -1

 1   1    1     1

 1  -1    -1   -1

0  1  -2  -2

1  1   1   1

0 -2  -2  -2

Step 2: row3/-2

0   1   -2    -2

1   1    1     1

0   1    1     1

step 3:  -row3 + row1

0   0   -3    -3

1   1    1     1

0   1    1     1

step 4:  row1/-3

0   0    1     1

1   1    1     1

0   1    1     1

step 4: -row1 + row3; -row1 + row2

0   0    1     1

1   1    0     0

0   1    0     0

step 5:  -row3 + row2

0    0    1    1

1    0    0    0

0    1    0    0

The reduced row echelon form is:

1    0    0     0

0    1    0     0

0    0    1     1