The smallest cube has a length of 6 inches.What are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

Answer:

Step-by-step explanation:

2x+1       - the first odd integer

2 x+1 + 2 = 2x+3   - the next odd integer consecutive to 2x+1

2x+3+2 = 2x+5 - the odd integer consecutive to 2x+3 (the third consecutive odd integer)

2x+1 + 2x+3 + 2x+5  - the sum of three consecutive odd integers

therefore the equation:

                                     2x+1 + 2x+3 + 2x+5 = -3

6x + 9 = -3

6x = -12

x = -2

2x+1=2(-2)+1=-3

2x+3=2(-2)+3=-1

2x+5=2(-2)+5=1

the three consecutive odd integers whose sum is -3 are: -3,-1,1

Answer:

where is the graph?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Answer:

C

Step-by-step explanation:

Answer:

stop cheating boi

Step-by-step explanation:

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

Step-by-step explanation:

:D

Answer:

50

Step-by-step explanation:

120 +angle1 = 180  angle 1 is 60   70+60+angle2 should be equals 180 so 2 is 50 degree

1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree

60+40 +angle3 = 180 angle3 is 80  

3+4 should be equal 180 3 is 80 180-80= 100 4 is 100

Answer:

$6,524.96

Step-by-step explanation:

His quarter commission times four is the awnser

Answer:

Answer:

[tex]39.29\ \text{km/h}[/tex]

Step-by-step explanation:

s = Speed of the train

m = Money spent on maintanence

[tex]s\propto m^{\dfrac{1}{3}}[/tex]

Let k be the constant of proportionality so

[tex]s=k (m)^{\dfrac{1}{3}}[/tex]

Now a case is given where 25 km/hr is possible on a stretch for which 450,000 is spent so

s = 25

m = 450000

[tex]s=k (m)^{\dfrac{1}{3}}\\\Rightarrow k=\dfrac{s}{m^{\dfrac{1}{3}}}\\\Rightarrow k=\dfrac{25}{450000^{\dfrac{1}{3}}}\\\Rightarrow k=0.326[/tex]

Now when m = 1750000

[tex]s=k (m)^{\dfrac{1}{3}}\\\Rightarrow s=0.326\times 1750000^{\dfrac{1}{3}}\\\Rightarrow s=39.29\ \text{km/h}[/tex]

The maximum speed of the train would be [tex]39.29\ \text{km/h}[/tex].

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

Given :

Collection in third week, C = $25,992,412.50 .

Average ticket price, T = $8.35 .

To Find :

Number of people who saw movie in  week.

Solution :

Let, number of people are x.

[tex]\text{Number of people }=\dfrac{\text{Total amount }}{\text{Average price}}\\\\= \dfrac{25,992,412.50 }{8.35}\\\\[/tex]

≈ 3112864

Therefore, around 3112864 people saw the movie this week.

Hence, this is the required solution.

Answer:

b

Step-by-step explanation:

awnser 3

both are congrent

Answer:

Step-by-step explanation:

The anser would be B.

The y is allowed to repeat a number but the x cannot. If the x does repeat a number then its not a function. (X,Y)

Step-by-step explanation:

The formula for calculating the area of a square is expressed as;

A = x² where;

x is the length of one side of the square

Given

x = 10in

A = 10²

A = 10 * 10

A = 100in²

Area of the square with side length 10in is 100in²

From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional

Answer:

100 sq in

Step-by-step explanation:

No, not proportional

Answer:

x ≤ 1000 W

Step-by-step explanation:

Since the circuit becomes overloaded when the load exceeds 1800W and the toaster uses 800 W.

Let the additional watts be x

Therefore;

800 + x ≤ 1800

x ≤ 1800 -800

x ≤ 1000 W

Answer:

50. ☺️☺️

Step-by-step explanation:

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50

Answer: 50

Step-by-step explanation:

49 - 14 = 35

35/7 = 5

10 x 5 = 50

Since, 35 is Seven tenths of a number, One tenth is 5 and there are ten tenths, One tenth which is 5 times ten since there are ten tenths equals to 50 (5 x 10 = 50).

Answer:

58.3825

Step-by-step explanation:

Add all 4 numbers together and divided by how many numbers are there (4)and you get your answer

Answer:

The equation is y = 3x + 15.

The second equation is y = 3 * 50 + 15

If you have a value of 50 berries picked, you would make 165 dollars.

Answer:

-3 > x

Step-by-step explanation:

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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Answer:

y=6x+18

Step-by-step explanation:

add the -6x to the other side to get y alone

Answer:

-6x + y = 18 reduced is -2x + y = 2

Step-by-step explanation:

it is called the Hamber Pickering Formula according to STUIPDPEDIA LOL!

Answer:

128

Step-by-step explanation: