Jen wants to tile the floor of her kitchen . The floor is recrangular and measures 12 feet by 8 feet. If it costs $2.50 per square foot for the materials, what is the total cost of the materials, what is the total cost of the materials for tiling the kitchen floor?

Answers

Answer 1

Answer: Given:
rectangular floor
length = 12 feet
width = 8 feet

Area = 12 ft * 8 ft = 96 ft²

Cost of $2.50 per square foot

96 ft² * $2.50 = $240

The total cost of the materials for tiling the kitchen floor is $240.

Answer 2

Answer:

we know that

The area of the floor of the kitchen is equal to the area of a rectangle

Step 1

Find the area of the kitchen

we have

$A=12*8\n A=96 ft^(2)$

Step 2

Find the cost

we know that

the cost is $ $2.50$ per square foot

by proportion

$(2.50)/(1) =(x)/(96) \n\n x= 2.50*96\n x=240$

therefore

the answer is

the total cost of the materials for tiling the kitchen floor is $ $240$

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Please help me with angles.

Answers

Answer:

Step-by-step explanation:

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

Answers

Answer:

Option (a) is correct.

The solution is (1, -1 , -4)

Step-by-step explanation:

Given:

A system of equation having 3 equations,

$2x+y+z=-3\n\n 3x-5y+3z=-4\n\n 5x-y+2z=-2$

We have to solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

Consider the given system

$2x+y+z=-3\n\n 3x-5y+3z=-4\n\n 5x-y+2z=-2$

Write in matrix form as

$\begin{pmatrix}2&1&1\n \:3&-5&3\n \:5&-1&2\end{pmatrix}\begin{pmatrix}x\n \:y\n \:z\end{pmatrix}=\begin{pmatrix}-3\n \:-4\n \:-2\end{pmatrix}$

⇒ AX = b

Writing in Augmented matrix form , [A | b]

$\begin{pmatrix}2&1&1&-3\n 3&-5&3&-4\n 5&-1&2&-2\end{pmatrix}$

Apply row operations to make A an identity matrix.

$R_1\:\leftrightarrow \:R_3$

$=\begin{pmatrix}5&-1&2&-2\n 3&-5&3&-4\n 2&1&1&-3\end{pmatrix}$

$R_2\:\leftarrow \:R_2-(3)/(5)\cdot \:R_1$

$=\begin{pmatrix}5&-1&2&-2\n 0&-(22)/(5)&(9)/(5)&-(14)/(5)\n 2&1&1&-3\end{pmatrix}$

$R_3\:\leftarrow \:R_3-(2)/(5)\cdot \:R_1$

$=\begin{pmatrix}5&-1&2&-2\n 0&-(22)/(5)&(9)/(5)&-(14)/(5)\n 0&(7)/(5)&(1)/(5)&-(11)/(5)\end{pmatrix}$

$R_3\:\leftarrow \:R_3+(7)/(22)\cdot \:R_2$

$=\begin{pmatrix}5&-1&2&-2\n 0&-(22)/(5)&(9)/(5)&-(14)/(5)\n 0&0&(17)/(22)&-(34)/(11)\end{pmatrix}$

$R_3\:\leftarrow (22)/(17)\cdot \:R_3$

$=\begin{pmatrix}5&-1&2&-2\n 0&-(22)/(5)&(9)/(5)&-(14)/(5)\n 0&0&1&-4\end{pmatrix}$

$R_2\:\leftarrow \:R_2-(9)/(5)\cdot \:R_3$

$=\begin{pmatrix}5&-1&2&-2\n 0&-(22)/(5)&0&(22)/(5)\n 0&0&1&-4\end{pmatrix}$

$R_1\:\leftarrow \:R_1-2\cdot \:R_3$

$=\begin{pmatrix}5&-1&0&6\n 0&-(22)/(5)&0&(22)/(5)\n 0&0&1&-4\end{pmatrix}$

$R_2\:\leftarrow \:-(5)/(22)\cdot \:R_2$

$=\begin{pmatrix}5&-1&0&6\n 0&1&0&-1\n 0&0&1&-4\end{pmatrix}$

$R_1\:\leftarrow \:R_1+1\cdot \:R_2$

$=\begin{pmatrix}5&0&0&5\n 0&1&0&-1\n 0&0&1&-4\end{pmatrix}$

$R_1\:\leftarrow (1)/(5)\cdot \:R_1$

$=\begin{pmatrix}1&0&0&1\n 0&1&0&-1\n 0&0&1&-4\end{pmatrix}$

Thus, We obtained an identity matrix

Thus, The solution is (1, -1 , -4)

This involves quite a lot of arithmetic to do manually.

The first thing you do is to make the first number in row 2 = to 0.

This is done by R2 = -3/2 R1 + R2

so the matrix becomes

( 2 1 1) ( -3 )

( 0 -13/2 3/2) (1/2 )

(5 -1 2) (-2)

Next step is to make the 5 in row 5 = 0

then the -1 must become zero

You aim for the form

( 1 0 0) (x)

(0 1 0) (y)

(0 0 1) ( z)

x , y and z will be the required solutions.

Find two whole numbers whose sum is 60 and whose difference is 12

Answers

$\left \{ {\big{x+y=60} \atop \big{x-y=12}} \right. \n--------\nx+x=60+12\n2x=72\ /:2\nx=36\n\nx+y=60\ \ \ \Rightarrow\ \ \ y=60-x\ \ \ \Rightarrow\ \ \ y=60-36=24\n\nAns.\ the\ numbers:\ 36\ \ and\ \ 24$

Can someone help me with this problem?

Answers

Hello,

W: math homework reulary

A: B average or better

U:Univers 100%

W∩A= the answer
Or #(W∪A)+#(W∩A)=#W+#A
or #(W∪A)=100-40=60

==>60+x=48+55
==>x=43

Find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

Substitute: 33 = 4x - 3
Isolate x term: 36 = 4x
Isolate x: 9 = x
Rewrite: x = 9

Which equation shows the substitution method being used to solve the system of linear equations? x – y = 7

x = y + 3

A) x = (7 – x) + 3

B) x – (y + 3) = 7

C) (y + 3) – y = 7

D) x – y = y + 3

Answers

I think it is answer C
Hope I helped

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