The length of the rectangle shown below is represented by the expression (x - 2)2. The width is represented by the expression (3x - 5). What is the area of the rectangle?

Answer:

the original price was 50 dollars

Step-by-step explanation:

times 25 by 2

Answer:

Step-by-step explanation:

I'm just going to reverse the equation because I'm more comfortable with the x being on the left side:

25(x+4) = 350

Do distributive property (I'll explain down below if you don't know what that is):

25x+100=350

Same to both sides

25x = 250

Divide 25 on both sides

x = 10

Distributive property is when there are multiple terms inside the parenthesis and 1 or more term outside of it

To show this works, lets do 6(5+1)

We can either do 6*6 or we can do 30+6 and we get the same answer

Let me know if you have any questions

Answer: 190 minutes because if you divide 76 by 8 you get 9.5 which would be 9.5 minutes every mile so then since every mile is 9.5 minuets you multiply that by 20 and get 190 so it would be garret rode his bike 20 miles in 190 minutes

Step-by-step explanation:

Answer: 7x + 9w if you are just simplifying

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

The point on the graph (- 6, 1.2 ) gives the value of f = 1.2 when x = - 6

Then when x = - 6, the output f = 1.2

Answer:

I beleive the answer is 8

Step-by-step explanation:

4+4=8

The probability that the female kittens are together, and all the male kittens are together is 1/35.

Permutation is defined as the calculation of a set such that it defines the number of ways that something can be arranged.

Let A represents the arrangements of 8 kittens which includes 4 male and 4 female.

N(A) = 8P₈ / (4! × 4!) = 8! / (4! × 4!) = 70

Let B represents the arrangement of kittens such that 4 males are together and 4 females are together.

N(B) = 2

Probability of arranging kittens in such a way that all the female kittens are together, and all the male kittens are together = 2/70 = 1/35

Hence the required probability is 1/35.

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Answer:

Total number of students = 50 students.

Step-by-step explanation:

Total number of books = number of books * frequency

1 * 3 = 3

2 * 5 = 10

3 * 12 = 36

4 * 25 = 100

5 * 4 = 20

6 * 1 = 6

Total number of books = 3 + 10 + 36 + 100 + 20 + 6

Total number of books = 175 books.

Now, to find the total number of students;

Total number of students = summation of frequency

Total number of students = 3 + 5 + 12 + 25 + 4 + 1

Total number of students = 50 students.

Answer:

1,3,5,15    Composite because it has more than 2 factors.

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation:

L = 20 + 3x

M = 40 + x

20 + 3x = 40 + x

3x = 20 + x

2x = 20

x = 10

Answer:

256x-81y

Step-by-step explanation:

Answer:

w = x+2/a−3

Step-by-step explanation:

Let's solve for w

aw−x=3w+2

Step 1: Add -3w to both sides

aw−x+−3w=3w+2+−3w

aw−3w−x=2

Step 2: Add x to both sides

aw−3w−x+x=2+x

aw−3w=x+2

Step 3: Factor out variable w

w(a−3)=x+2

Step 4: Divide both sides by a-3

w(a−3)/a−3 = x+2/a−3

w = x+2/a−3

The value of w is (2+x)/ (a-3).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

aw-x=3w+2

Now, solving for w

aw - 3w = 2 + x

w(a-3 )= 2+x

w= (2+x)/ (a-3).

Hence, the value of w is (2+x)/ (a-3).

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Answer:

48, hope this helps!

Answer:

Step-by-step explanation:

[tex]let \: xyz \: angle \: be \: \alpha [/tex]

[tex]according \: to \: the \: question[/tex]

[tex] \sin( \alpha ) = \frac{xy}{zy} [/tex]

[tex] \sin( \alpha ) = \frac{6}{15} [/tex]

[tex] \alpha = asin( \frac{6}{15} )[/tex]

[tex] \alpha = {23.6}^{o} [/tex]

therefore

Answer:

If you're supposed to use elimination to find (x, y) the answer is (6, 1)

Step-by-step explanation:

Add:

2x+3y=15

  x-3y= 3

y cancels out and left with...

2x=15

  x=3

that becomes

3x=18

find x

18/3= 6

x=6

Then plug in x (which is 6) to one of the equations to solve for y

6- 3y= 3

-3y= 3-6

-3y= -3

y= 1

(x, y) equals (6, 1)

Answer: The number of pieces of the ribbon she can cut = [tex]13\frac12[/tex] yards

Step-by-step explanation:

Given: The length of the ribbon = [tex]5\dfrac25[/tex] yards

[tex]= \dfrac{5\times5+2}{5} =\dfrac{27}{5}[/tex] yards

Length of each piece = [tex]\dfrac25[/tex] yards

The number of identical pieces can be cut from the entire ribbon = (Length of the ribbon ) ÷ (Length of each piece )

[tex]=\dfrac{27}{5}\div\dfrac{2}{5}\\\\=\dfrac{27}{5}\times\dfrac{5}{2}\\\\=\dfrac{27}{2}\\\\=13\dfrac12[/tex]

Hence, the number of pieces of the ribbon she can cut = [tex]13\frac12[/tex] yards

Answer:

plug in 16 for x

14√x+15 = 71

14√x+15-15 = 71-15 = 56

14√x/14 = 56/14 = 4

√x^2 = 4^2 = 16

Answer:

3

Step-by-step explanation:

pretty simple if she has 8 it wouldnt make sense

5 that means shell have 6 simed with $1.25 worth of money

sooooooooo yeah

Answer:

y = -2.111...

x = 3.167

Step-by-step explanation:

Answer:

X= 3.16667

Step-by-step explanation:

other answer just in case

y-intercept = -19/9  = -2.11111

x-intercept = 19/6  =  3.16667

Slope     =  1.333/2.000 =  0.667

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Answer:

The possible range of the length of side LM is 8 < x < 26 ⇒ A

Step-by-step explanation:

In any triangle:

In the given figure

∵ LMN is a triangle

∵ LM = x, MN = 9, NL = 17

→ Find the sum of the lengths of MN and NL

∴ The sum of the lengths of MN and NL = 9 + 17 = 26

→ Find the difference between the lengths of MN and NL

∴ The difference between the lengths of MN and NL = 17 - 9 = 8

→ By using the rules above, x should be between 8 and 26

∴ 8 < x < 26

∴ The possible range of the length of side LM is 8 < x < 26

Answer:

m/100 x 8

Step-by-step explanation:

The factory produce 11 shirt in half minute (30 seconds)

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

Answer:

y = 4x + 23

2x - 13y = 1

3y = 1/2x

Step-by-step explanation:

If u need an explanation ask me

Answer:

80%

Step-by-step explanation:

Answer:

x < - 8.5

Step-by-step explanation:

Given

- 46 - 8x > 22 ( add 46 to both sides )

- 8x > 68

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity

x < - [tex]\frac{68}{8}[/tex] , that is

x < - 8.5

Answer:

x < - 8.5

I hope this helps