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3 years ago

A clothing pattern calls for 4.81 yd2 of fabric. How many square inches of fabric does the pattern use?

2 answers:

7 0

The answer is 6215.75 square inches. The area of the fabric is 4.81 square yards so taking the square root of that I get approx 2.19 yards. Checking, 2.19 x 2.19 yards = 4.81 sq yds. I yard is 36 inches so 2.19 x 36 = 78.84 inches and when this is squared ie 78.84 x 78.84 you get 6215.75 square inches.

Vera_Pavlovna [14]3 years ago

4 0

Total square inches of fabric.
To answer this question you need to know how many square inches makes up one square yard.

1296 square inches makes one square yard.

Therefore total square inches =
1296x4.81= 6233.76 square inches

You might be interested in

Is the binomial a factor of the polynomial function?

olchik [2.2K]

Answer:

YES

Step-by-step explanation:

The given polynomial is: $f(x) = x^3 + 4x^2 - 25x - 100$

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

= 125 + 100 - 125 - 100

= 225 - 225

= 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

= -8 + 16 + 50 - 100

= -108 + 66

≠ 0

Therefore, (x + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

= 64 + 64 - 100 - 100

= 128 - 200

≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0

3 years ago

At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school

harkovskaia [24]

78 students chose lion

8 0

3 years ago

Read 2 more answers

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

olasank [31]

Answer:

Explanation:

I used the calculator.

4 0

3 years ago

Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What

Alja [10]

$\dfrac{x}{5}+\dfrac{x+1}{3}+\dfrac{x+2}{4}=40\\
12x+20(x+1)+15(x+2)=2400\\
12x+20x+20+15x+30=2400\\
47x=2350\\
x=50\\
x+1=51\\
x+2=52$

Then umbers are 50,51,52

4 0

3 years ago