Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches. A-what is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? B-How many floor tiles will Hector need to cover his shed floor? HURRY PLEASE. ANSWER BOTH!!

Answers

Answer 1

Answer:

A- The side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps is 48 inches

B- The number of square tiles Hector will need is 15 tiles

Step-by-step explanation:

A- The given parameters are;

The size of the tiles cut by the company he found = 60 inches × 60 inches

The length of his shed floor = 240 inches

The width of his shed floor = 144 inches

The side length of the largest square tile is given as the highest common factor, HCF of 240 and 144 given as follows;

144/240 = 3/5

Therefore, we have the highest common factor of 144 and 240 = 144/3 = 48

Therefore, the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps = 48 inches

B- The area of his shed floor = 240 inches × 144 inches = 34560 in.²

The area of one square tile = 48 inches × 48 inches = 2,304 in.²

The number of square tiles, n, Hector will need is given as follows;

The number of square tiles Hector will need = (The area of his shed floor)/(The area of one square tile)

The number of square tiles Hector will need = n =34560 in.²/(2,304 in.²) = 15

The number of square tiles Hector will need = 15 tiles.


Related Questions

is a relation that is also a function.
{(1,6), (1,7), (7, 8), (8, 9)}
{(2,3), (3, 2), (2, 4), (4, 2)}
{(0, 1), (0, 2), (0, 3), (0,4)}
|{(1, 1), (3, 2), (6,3), (8,4)}

Answers

Answer:

The relation {(1, 1), (3, 2), (6,3), (8,4)} is also a function ⇒ D

Step-by-step explanation:

The relation formed from a set of ordered pairs could be a function if every x-coordinate has only one y-coordinate corresponding to it

Examples:

The relation {(1, 3), (-2, 5), (1, -2)} is not a function because x = 1 has two values of y  3 and -2The relation {(2, -3), (-2, 0), (1, 5)} is a function because x = 2 has only y = -3, x = -2 has only y = 0, and x = 1 has only y = 5

Let us check all the relation to find which one is a function

∵ The relation is {(1, 6), (1, 7), (7, 8), (8, 9)}

∵ At x = 1, y = 6 and 7

→ x has two values of y

∴ The relation is not a function

∵ The relation is {(2, 3), (3, 2), (2, 4), (4, 2)}

∵ At x = 2, y = 3 and 4

→ x has two values of y

∴ The relation is not a function

∵ The relation is {(0, 1), (0, 2), (0, 3), (0,4)}

∵ At x = 0, y = 1, 2, 3, and 4

→ x has four values of y

∴ The relation is not a function

∵ The relation is {(1, 1), (3, 2), (6,3), (8,4)}

∵ At x = 1, y = 1

∵ At x = 3, y = 2

∵ At x = 6, y = 3

∵ At x = 8, y = 4

→ Every x has only one value of y

∴ The relation is a function

The relation {(1, 1), (3, 2), (6,3), (8,4)} is a function

Question 2
Solve for y. Write your answer in slope-intercept form y= mx + b.
6x+2y = -10
Question 3

Answers

Answer:

y=-3x-5

Step-by-step explanation:

6x+2y=-10

2y = -6x-10 (you need to isolate the y and so i took 6x and subtracted it from both sides)

y = -6/2x-10/2 ( dont feel like explaining)

divide them (-6/2 and -10/2) to get

y=-3x-5

Hope i helped

Over the past 6 seasons one baseball players average is for 0.238 0.289 0.263 0.302 0.285 and 0.319. Second player batting averages were 0.259 0.348 0.334 0.278 0.311 and 0.174 what are the range and mean of each players batting averages use your results take a player players batting skills

Answers

Answer:

First player

Range = 0.081

Mean = 0.283

Second player

range = 0.174

mean = 0.284

Step-by-step explanation:

Mathematically, range is highest value - lowest value while mean refers to the average ( sum of values/count of values)

For first player

Range = (0.319 - 0.238) = 0.081

Mean = (0.238 + 0.289 + 0.263 + 0.302 + 0.285 + 0.319)/6 = 0.283

For the second player;

Range = 0.348 - 0.174 = 0.174

mean = (0.259 + 0.348 + 0.334 + 0.278 + 0.311 + 0.174)/6 = 1.704/6 = 0.284

Which statement or statements accurately describe a good way to avoid excessive service fees?

1. Try to deposit money in large batches rather than in small amounts.

II. Try to limit the number of withdrawals you make from out-of-network ATMs.

III. Try to avoid using your debit card online.

a. I and II

b. ll only

c. Ill only

d. I and III

Answers

Answer:

b. ll only

Explanation:

Remember, service fees often refer to an amount deducted to pay for the cost of providing particular services, such as ATM service charges, etc.

We can this conclusion because if one decides to deposit money in large batches rather than in small amounts; they will be directly subjecting themselves to excessive charges. Consider, most financial institutions often charge higher fees for larger deposits.

Also, if one decides to avoid using your debit card online they will tend to spend more using traditional cash methods which require increasing the number of one's ATM withdrawal.

However, by trying to limit the number of withdrawals you make from out-of-network ATMs, one saves him or herself of excessive service fees.

Point Slope Form : y - y1 = m(x- x1) Write the equation of the line described that passes through (-8,-5), parallel to y = -3x + 9

Answers

Answer:

y + 5 = -3(x + 8)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel Lines always have the same slope but different y-intercepts.

Step-by-step explanation:

Step 1: Define

Given (Parallel Line): y = -3x + 9

Point (-8, -5)

Step 2: Find variables

Slope m of parallel lines = -3

Step 3: Find parallel line equation

y₁ = -5

x₁ = -8

m = -3

y + 5 = -3(x + 8)

I need the answer to this one .

Answers

Answer:

B. 6.5x10^5

Step-by-step explanation:

Hope this Helps :)

is 0.4 greater than or less than 0.127

Answers

0.127 is greater than 0.4 because is more.

Simplify 1/4 (15-6) + 3^3 divided by 12

Answers

Answer:

Step-by-step explanation:

Use PEDMAS  method

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A- Addition

S -Subtraction

[tex]\frac{1}{4}(15-6) + 3^{3}[/tex] ÷ 12  = [tex]\frac{1}{4}*9+3^{3}[/tex] ÷ 12     {Operation inside parenthesis}

                              [tex]= \frac{1}{4}*9+27[/tex]÷ 12   {Exponents}

                             [tex]= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}[/tex]  

Answer:

the answer is c. 4 1/2

Step-by-step explanation:

I guessed c got it right

2020-2021 T-Math-Alg1-T1and2-CBT.: Section 2 - Calculator Section Question: 2-4
Scientific Calculator
A sequence is defined by the function f(n)=f(n-1)+5, where n represents the number of the term for
n>1. and f(1) = -4. What are the first four terms of the sequence?
1,6,11,15
o
7
S
-4.0,-1,-2
4
O
1
2
3
0.-1.-2.-3
0
-4.1,6.11
Previous
I
Type here to search
O
Si
Lenovo

Answers

Answer:

The correct option is;

1, 6, 11, 15

Step-by-step explanation:

The given information are;

The function that defines the terms of the sequence is f(n) = f(n - 1) + 5

Where;

n = The number of the term

For n = 1, we have, f(1) = -4

The first four terms are therefore;

f(2) = f(2 - 1) + 5 = f(1) + 5 = - 4 + 5 = 1

f(3) = f(3 - 1) + 5 = f(2) + 5 = 1 + 5 = 6

f(4) = f(4 - 1) + 5 = f(3) + 5 = 6 + 5 = 11

f(5) = f(5 - 1) + 5 = f(4) + 5 = 11 + 5 = 15

The first four terms are; 1, 6, 11, 15

Write an equation for a line that is perpendicular to y = 2x + 7.

Answers

Answer:

y = -[tex]\frac{1}{2}[/tex]x + 5

Step-by-step explanation:

A perpendicular line is the negative reciprocal of the original, it doesn't matter what the y intercept is.

The graph of a linear function is shown.


Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

the answer is negative slope

Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
A. (3, 1)
B. (-1, 6)
C. (4,0)
D. (0, 2)
E. (2,0)
F. (0.5, 3)

Answers

The points that connect (0,4) and (1,2) are B, E and F. Please mark Brainliest and Hope this Helps

Find the sum.
6(2k – 2) + (7k + 5)

Answers

Answer:

Your answer is: 19k - 7

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

Answer is 19k-7

6(2k-2) + (7k+5)
12k-12+7k+5
19kx12+5
19k-7

If ΔABC ≅ ΔDEF, what is the length of AB?

Answers

Answer:

AB=24ft

Step-by-step explanation:

3x+6=4x

6=4x-3x

6=x

AB=3x+6

AB=3(6)+6

AB=18 + 6

AB=24

i need this now please help me please !!

Answers

Area = 81 pi mi2

Circumference = 18 pi mi

um i think it’s 81 pi mi 2

Turn this improper fraction 88/-7 into a mixed number.​

Answers

Answer:

-12 whole number, 4/7 (Mixed number)

Step-by-step explanation:

88/-7 = Improper fraction

Required to turn into mixed number

= 88 ÷ -7

= (-12 & remainder 4) / 7

= -12 (4/7)

= -12 whole number, 4/7 (Mixed number)

Which of the following values of x solves 3(x−6)=18?

Answers

Answer: X=12

Step-by-step explanation: 3(x-6)=18 becomes 3x-18=18 which is 3x=36 because you add 18 to both sides. Then you simplify 36/3 which is 12

Answer:

x=12

Step-by-step explanation:

3(x-6) = 18 - distrubute ( you are solving for x )

3x - 18 = 18 - add 18 to both sides

3x = 36 - divide

x =12

Gina tracks the low temperatures for a city over six days. Identify the days colder than-1.75°F. Monday Tuesday Wednesday Thursday Friday -2.5°F -1.9°F 0°F -1.5°F 0.5°F

Answers

Answer:

Monday

Tuesday

Step-by-step explanation:

Given the temperature data:

Mon _____ Tue _____ Wed _____ Thur ___ Fri

-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F

Days colder than - 1.75°F

Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75

Hence,

-2.5°F < - 1.75°F = (Monday)

-1.9°F < - 1.75°F = (Tuesday)

Hence, temperature on Monday and Tuesday is colder than - 1.75°F

Answer:

Monday

Tuesday

Step-by-step explanation:

what’s 0.987+0.0853098

Answers

Answer:

1.0723098

Yw :D

I need help finding (x) step by step please:) I will reward you will awarding you as a brainliest if you can do this for me.

Answers

Answer:

95°

Step-by-step explanation:

The sum of interior angles in a pentagon is 540°

100° + 145° + 120° + 80° + x = 540°

445° + x = 540°

x = 95°

On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.

How much does she drink in one and a half hours?

Answers

Answer:

12oz or a whole can of soda in 1 hour 30 minutes.

Step-by-step explanation:

[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.

value of the 6 in 36,282.563?

Answers

Answer:

6,000 or 6 hundredths

Step-by-step explanation:

Two negative integers have a sum of -7 and a
product of 12. What are the integers?
Separate the answers with a comma.

Answers

Answer:

-4, -3

Step-by-step explanation:

I hope this helps! plz give brainliest

Answer:

THAT'S NOT THE ANSWER I PUT IT IN AND GOT IT WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8. What could be Gina’s expression?

Question options:

2(2x - 8)


2(2x - 4)


-(-4x + 8)


4(x - 2)

Answers

2(2x-4) because when you multiply 2 x 2x it equals 4x. When you multiply 2 x 4 it equals 8. Leaving you with 4x-8

2(2x - 8) should be Gina's expression as it is not equivalent to 4x - 8.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8.

∴ Gina's expressions should be the one that is not equivalent to  4x - 8.

After observing the given options and applying distributive properties we conclude that 2(2x - 8) is Gina's expression as it is 4x - 16.

learn more about linear equations here :

https://brainly.com/question/13738061

#SPJ2

The graph shows the printing rate of printer a printer b can print a rate of 25 pagws per minute how does the rate for printer b compare

Answers

Answer:greater,greater,15

The printing rate for Printer B is

greater

than the rate for Printer A because the rate of 25 pages per minute is

greater

than the rate of

15

pages per minute for Printer A.

The answers to the fill ups are:

(a) greater than

(b) greater than

(c) 15

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, slope for printer A= 30-2/2-0

                                    = 30/2 = 15 pages per minute.

So, the rate of Printer A is 15 pages per minute.

Thus,

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

Learn more about graph here:

https://brainly.com/question/19476357

#SPJ3

Simplify.
12(3x + 5y) plzzz answer fast

Answers

Answer:

36x + 60y

explanation:

Answer:

36 x + 60 y

Step-by-step explanation:

There are 5 choices for each of 6 multiple choice questions on a quiz. How many outcomes are there

Answers

Answer:

I think 30

Step-by-step explanation:

Because 5 times 6 is 30

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = -3 and slope = 2

Answers

Answer:

A

Step-by-step explanation:

The y intercept is where the line crosses the Y (vertical) axis. In this case, it happens at y=2

The slope is the rate of change. For every 1 space it moves on the horizontal axis, it moves 3 vertical spaces. It is going down, so it is -3

John ran for president of the chess club. Of the 325 members in the chess club, 195 members voted for John. What percent of students voted for John?

can someone help me out.

Answers

Answer:

65%

Step-by-step explanation:

325-195=130

130/200= 65

Do this ASAP and put answers in the "Answer" Tab. Any Absurd answers shall be reported and deleted. Remember when your answer gets deleted you loose the points you received. [tex]\boxed{ Perimeter\; and\; Area\; on \;the \;Coordinate \;Plane}[/tex]

Answers

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

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