the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area

Answer:

3/4 of a tank =3/4(13) gal

=39/4 almost 10 gal

Answer:

10

Step-by-step explanation:

Since Kelly earns 12.50 dollars per hour, and she works 14 hours, you can multiply 12.50 by 14.

1.      12.50*14=175

Kelly gives 1/5 of her money away, so she should be left with 4/5.

2.     4/5*12.50=10

So the answer is 10.

Answer:

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c

To simplify it change ÷ to × and reciprocal c

In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]

To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]

Let us solve the question

∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]

∵  [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8

→ Change ÷ to × and reciprocal 8

∴  [tex]\frac{8}{9}[/tex] ÷ 8 =  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]

→ Cancel 8 up with 8 down

∴  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]

∴ The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Answer:

1

Step-by-step explanation:

In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.

Answer: This is a system of equations, let's set it up.  I set the variable for 1 story houses to x and 2 story houses to y.  Here are the two equations:

6x + 2y = 72

5x + 7y = 124.

Now we multiply the equations so that when we add them together one of the variables will be cancelled out.  I am going to multiply the top equation by 7 and the bottom equation by -2.  This gives us

42x + 14y = 504

-10x -14y = -248

Add the two equations together:

32x = 256

Divide by 32 to get x = 8.  The one story houses have 8 doors.  We can plug this number into one of the original equations and solve for y now.  I'm going to use the first equation.

(6*8) + 2y = 72  

Now we solve for y

y = 12  So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.

Answer:

Step-by-step explanation:

From the given information:

The number of different license plate the country  can produce is in the form:

=L₁L₂L₃L₄   or  L₁L₂L₃L₄L₅  or  D₁L₁L₂L₃L₄   or    D₁L₁L₂L₃L₄L₅

∴

The Total number of the license plate that can be produced is;

= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)

= 456976 + 11881376 + 4569760 + 118813760

= 135721872

Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)

= 11 P(26,4P + 11 P(26,5)

[tex]=11 \times \dfrac{26!}{(26-4)!} + 11 \times \dfrac{26!}{(26-5)!}[/tex]

= 90776400

c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.

= 135721872 - 90776400

= 44945472

d) The probability that a licensed plate has repeated letter is:

[tex]= \dfrac{no(rep \ letter) }{n (total)} \times 100\%[/tex]

[tex]= \dfrac{44945472}{135721872}\times 100\%[/tex]

= 33.12%

A) The country can produce 118,813,760 different licence plates.

B) 78,936,000 license plates have no repeated letter.

C) 39,877,760 license plates have at least one repeated letter.

D) The probability that a license plate has a repeated letter is 33.56%.

Given that in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet, to determine (A) how many different license plates can the country produce; (B) how many license plates have no repeated letter; (C) how many license plates have at least one repeated letter; and (D) what is the probability that a license plate has a repeated letter, the following calculations must be performed:

A)

B)

C)

D)

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Answer: Blue, orange, purple and red

Step-by-step explanation:

Answer:

The blue, pink, orange, purple, and red.

Answer:

The value of the greatest integer is -38

Step-by-step explanation:

Let's make

x = the first even integer

x + 2, x + 4, x + 6 are the following even integers.

Recall even numbers are counted every other number.

The sum of all the numbers is -164:

x + x + 2 + x + 4 + x + 6 = -164

Simplifying:

4x + 12 = -164

Subtracting 12:

4x = -164 - 12 = -176

Dividing by 4:

x = -176 / 4 = -44

Thus, the greatest of them all is x + 6 = -44 + 6 = -38

The value of the greatest integer is -38

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

Answer:

It is $15.00

Step-by-step explanation:

It is B because A is not even money, C is fifteen cents which is not correct because the question is asking for 75% of $20.00, and finally D is incorrect because it is more than the amount of money asked in the question.

Answer:

Lola used 3/4 more ink cartridges than her friends

Step-by-step explanation:

Answer:

Move r to left or right then divide the numbers

Answer:

2,460 liters per hour

Step-by-Step Explanation:

The problem above requires only two operations: multiplication and addition. First, you have to answer this question: How much is 2.5% of 2,400 liters?"

You may do this by multiplying 2,400 by 2.5%.

2,400 x 2.5% (0.025) = 60 liters (this is the amount that the new model can fill more than old model).

Then, you have to add 60 liters to 2,400 liters.

2,400 liters + 60 liters = 2,460 liters

This means that the new model can fill 2,460 liters per hour.

Answer:

0.05

Step-by-step explanation:

Slope is the vertical drop or rise to the horizontal distance;

   Slope  = [tex]\frac{vertical interval}{horizontal distance}[/tex]  

 Let us convert 4 miles to feet;

         1 mile  = 5280ft

        4 miles  = 4 x 5280 = 21120ft

Slope  = [tex]\frac{1950 - 1000}{21120}[/tex]   = 0.05

The slope is 0.05

Answer:

8 Hours.

Step-by-step explanation:

Answer:

SU = 17

Step-by-step explanation:

The line looks like this

S--T---------------U

If you add 2 + 15 = 17

Hope this helps ya!!

Answer:

`298,483

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Length times width you learned about that in elementary school every one has.

Answer:

150

Step-by-step explanation:

Answer:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

They must sell 106 pizzas more.  

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

3 3/18

Step-by-step explanation:

I did this on paper, but im typing on computer, sorry I cant send a photo

Answer:

D is the answer 3 3/18 i am sure it is correct

Answer:

The correct choice is the one on the bottom right.

Answer:

Step-by-step explanation:

The domain would only include positive integers.

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

Answer:

greater than or equal to

Step-by-step explanation:

The area of a rectangle is the product of length and width thus the area will be 1358 square meters.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of the rectangle = 2( length + width).

It is known that,

Area of rectangle = length × width.

Area = 97 x 14 = 1358 sqare meters

Hence "The area of a rectangle is the product of length and width thus the area will be 1358 square meters".

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Answer:

5(x+4) ≥ 19

x ≤  -1/5

Step-by-step explanation:

5(x+4) ≥ 19

5x + 20 ≥ 19

5x ≤  -1

x ≤  -1/5

Answer:

is this question complete? there is nothing after the word “that”

Step-by-step explanation:

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Answer: A) segment AB = segment AD

The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.