Mick recently had new carpet installed. the cost of the carpet including installation was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mick actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes.

Answer:

(2,3) is the answer

Step-by-step explanation:

[tex]5x - 4y = - 2.....equation1 \\ 2x + 4y = 16 \\ 4y = 16 - 2x......equation2 \\ now \: substituting \: the \: value \: of \: 4y \: in \: eq1 \\ 5x - (16 - 2x) = - 2 \\ 5x - 16 + 2x = - 2 \\ 7x = - 2 +16 \\ x = \frac{14}{7} \\ x = 2 \\ putting \: the \: value \: of \: x \: in \: eq2 \\ 4y = 16 - 2x \\ y = \frac{16 - 2 \times 2}{4} \\ y = \frac{12}{4} \\ y = 3[/tex]

Answer:

B. x ~ 5

This is a right isosceles triangle

Answer:

The answer is ax² + bx + c = 0

Step-by-step explanation:

Answer:

x = -a or x = -b

Step-by-step explanation :

Answer:

see the attachment.

i hope this can help you!

Answer:

See below ~

Step-by-step explanation:

True Statements

Answer:

Width = 7 inches

Length = 23 inches

Step-by-step explanation:

Let :

Equating to area :

Dimensions are :

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

As length measure cannot be negative. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

It's not hemisphere,It's a complete sphere .

Volume

Volume of each hemisphere.

Answer:

Step-by-step explanation:

Answer: 7.30

Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)

(Then you just add the number all together so it’s easier)

1.30+1+2+3.10 =7.30

The linear equation is 3x + 5y = 75. Then the value of A, B, and C will be 3, 5, and 75 respectively.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of a line is given as

y = mx + c

where m is the slope and c is the constant.

Then we have

y = (-3/5)x + c

The line is passing through (25, 0). Then we have

25 = c

Then we have

y = (-3/5)x + 25

On simplifying, we have

5y = -3x + 75

3x + 5y = 75

Then the value of A, B, and C will be 3, 5, and 75 respectively.

More about the linear system link is given below.

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Answer:

y=−1 or y=−9

Step-by-step explanation:

y2+10y=−9

Step 1: Subtract -9 from both sides.

y2+10y−(−9)=−9−(−9)

y2+10y+9=0

Step 2: Factor left side of equation.

(y+1)(y+9)=0

Step 3: Set factors equal to 0.

y+1=0 or y+9=0

y=−1 or y=−9

Answer:

y=−1 or y=−9

Answer:

Here is the ans ..hope it helps:)

Answer:

18

Step-by-step explanation:

science 19 does not fit into 12, you would do 123/19 and the closes would be 19*6 which would get you 114 then you do 123-114 which is 9 then you bring down the 4 then it would be come 94 then you do 19*4 which would be 76 then you subtract 94 by 76 which would get you 18 and with nothing left you bring down, the remainder would be 18

Answer:

15 is the correct and answer mark me brainiest

Step-by-step explanation:

Well its because they added 2 3 4 now 5

Answer:

14

Step-by-step explanation:

there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4

Answer:

Positive Trend

Step-by-step explanation:

As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.

Answer:

   39. (4) 4 1/16

Step-by-step explanation:

Simplifying

Substituting x = 4

Radius

So

equation of circle

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the formula and solve for r²:

[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]

[tex]\implies (-3)^2+(0)^2=r^2[/tex]

[tex]\implies 9=r^2[/tex]

Substitute the center and found value of r² into the formula to determine the equation of the circle:

[tex]x^2+y^2=9[/tex]

Answer:

23.47 %      ( or .2347)

Step-by-step explanation:

780    is    20/50 = .4   for z score - .4

810     is    10/50 = .2       z-score = .2

 Use z-score table         .5793 - .3446 = .2347     23.47%

Explanation:

The mode is the most frequent number. It is the number that shows up the most.

Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.

Answer:

36 x⁸y⁶

 √2/2

Step-by-step explanation:

Factor 1296 into its prime factors

           1296 = 24 • 34 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

           1296 = 24 • 34 

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

           36 = 22 • 32 

At the end of this step the partly simplified SQRT looks like this:

         36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      √(x⁸)=x⁴

     √(x^-6)=x^-3

 Applying these rules to our case we find out that

      SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

      sqrt (1296x¹⁶y¹²) =  36 x⁸y⁶

Simplified Root : 36 x⁸y⁶ 

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2

Answer:  27  

PI × R² Is the formula as you posted.

And if you're asking for it as it's square root than it's 5.2

Answer:

27

Step-by-step explanation:

A = πr²

A = 3 × (3 ft)²

A = 3 × 9 ft²

A = 27 ft²

Answer: 27

Most of the first ladies are from New York because 9 of them came from there.

Answer:

D

Step-by-step explanation:

The valid conclusion we reach by interpreting the graph is :

D) Most of the first ladies are from New York.

New York had 9 first ladies, more than 6 each from 2 states, and 3 each from the other 2 states.

Answer:

a140 b10

Step-by-step explanation:

a x(all the pupil)×25%=35

x=140

b. 16:y=40:25

y=16×25/40=20

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

Given the following data:

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

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Answer:

See below for the proof of the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

The trigonometry equation is given as:

[tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite the equation as:

[tex]\frac{\tan^2(A) }{\tan(A) - 1} - \frac{\cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^2(A) - \cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Express cot(A) as 1/tan(A)

[tex]\frac{\tan^2(A) - \frac{1}{\tan(A)}}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^3(A) - 1}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Apply the difference of two cubes on the numerator

[tex]\frac{(\tan(A) - 1)(\tan^2(A) + \tan(A) + 1)}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Cancel out the common factors

[tex]\frac{\tan^2(A) + \tan(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite as:

[tex]\frac{\tan(A) + \tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Split the fraction

[tex]1 + \frac{\tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Express [tex]\tan^2(A) + 1[/tex] as [tex]\sec^2(A)[/tex]

[tex]1 + \frac{sec^2(A)}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Divide [tex]\sec^2(A)[/tex] by [tex]\tan(A)[/tex]

[tex]1 + \frac{1}{\sin(A)\cos(A)} = 1 + \sec(A)\csc(A)[/tex]

Take the inverse of sin and cosine

[tex]1 + \sec(A)\csc(A) = 1 + \sec(A)\csc(A)[/tex]

Both sides of the equation are the same.

Hence, the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex] has been proved

Read more about trigonometry identity at:

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Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Answer:

V=0

Hope it helps

Answer:

A={x:x is a multiple of five }