MATHEMATICS MIDDLE SCHOOL

Quinn needs to buy fabric for a border to sew onto all four edges of a tablecloth. He also needs an extra 0.875 feet of fabric to make a matching potholder. The length of the table cloth is 4/3 of its width (w) in feet. The total amount of fabric needed (f), in feet, is represented by the equation below. f=2 (w+4/3 w) + 0.875
Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder. What is the width of Quinn's tablecloth?

Answers

Answer 1

Answer:

The width of Quinn's tablecloth is 2.839 inch

Quinn needs to buy fabric for a border to sew onto all four edges of a tablecloth.

$\rm Total \; amount \; of \; fabric\; needed \; f = 2(w+ (4)/(3)* w )+ 0.875.......(1) \n$

$\rm Length \; of\; tablecloth = L = (4)/(3) * w$

According to the given condition the fabric required for potholder = 0.875 feet

Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder.

The Total amount of fabric needed for the border and the potholder = 113/8.....(2)

So from equation (1) and (2) we get

$\rm f = (113)/(8) \n$

$\rm Total \; amount \; of \; fabric\; needed \; f = 2(w+ (4)/(3)* w )+ 0.875=(113)/(8) \n$

Solving for w we can get

w = 2.839 inch

The width of Quinn's tablecloth is 2.839 inch

For more information please refer to the link below

brainly.com/question/6138677

Answer 2

Answer: it is 159/56 you need to substitute 113/8 for F and solve from there, hope this helps!

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2 equivalent : 4/6 and 6/9

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53% of 539this is a math problem
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Answers

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Paul is taking inventory of unsold ladies’ dresses from last month. The following matrix shows how many of each dress were left in red, blue, white, and green. The matrix below shows the new stock of the same color dresses that arrived in the store today. Which matrix shows the total number of dresses of each color and size that Paul has in stock before any sales were made today?

Answers

Answer:

Step-by-step explanation:

Just add both matrices

Based on the number of dresses in stock, and the new stock that arrived, the matrix that showed the total number of dresses that Paul had in stock before sales is attached.

Which matrix shows the number of dresses before sales?

You can find this out by adding the numbers in the Matix before the new stock arrived, to the matrix that shows the new stock.

Sum the numbers in each position to get the new quantity:

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The new matrix is shown attached.

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1. How many solutions are there for the equation? x2 + 16 = 8x (Points : 1) 2
1
0

Answers

$x^2 + 16 = 8x\n\nx^2-8x+16=0\n\nx^2-4x-4x+16=0\n\nx(x-4)-4(x-4)=0\n\n(x-4)(x-4)=0\n\n(x-4)^2=0\ \ \ \Leftrightarrow\ \ \ x-4=0\ \ \ \Leftrightarrow\ \ \ x=4\n\n Ans.\ One\ solution$

Every equation that has an ' x² ' in it has two solutions.

If it's a perfect square, then the solutions are equal, and they look like only 1.

Both solutions to this equation are [ x = 4 ] .

How do you convert 2 1/7 to a improper fraction

Answers

2 1/7 is converted toan improper fraction as 15/7.

What are improper fractions?

A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate.
A fraction, such as 5/4, is when the numerator exceeds the denominator.
Examples are 9/2, 8/5, 10/3, etc.
Multiply the denominator by the full number to find the improper fraction's numerator.
Add this to the numerator after that.
The same will apply to the denominator.

So, the given fraction is: