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Kisachek [45]
3 years ago
15

Hasan has 18 3/4 yards of fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many pillow cases as he can.

How many yards of fabric is left over?
Mathematics
2 answers:
Naddik [55]3 years ago
8 0

Answer:

\frac{35}{38} yards of fabric is left over.

Step-by-step explanation:

Hasan has the total length of fabric = 18\frac{3}{4} yards

                                                           =  \frac{75}{4} yards

Hasan plans to make as many pillow cases as he can.

To make one pillow case the fabric will be needed =  3\frac{1}{6} yards =  \frac{19}{6} yards

Hasan can make the total number of pillowcases = \frac{\frac{75}{4} }{\frac{19}{6} }

=  \frac{75}{4} ×  \frac{6}{19}

=  \frac{75}{2} ×  \frac{3}{19}

=  \frac{225}{38}

=  5\frac{35}{38}

He can make 5 pillow cases and  \frac{35}{38} yards of fabric would be left over.

attashe74 [19]3 years ago
3 0
I decided to simply both equations:
75/4 *3   225/12
19/6  *2  38/12
First is to find a common factor which is 12, multiply both sides.

divide 38/225 and you should get 5.92.

Hasan can make a total of 5 pillow cases.
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Measure of angle LOI= 38 degrees<br> Measure of angle JOP= 84 degrees<br> Find measure of angle JKP
Bogdan [553]

Answer:

The measure of angle JKP is 61°

Step-by-step explanation:

we know that

If the measure of angle m<LOI=38°

then

m arc IL=38° -----> by central angle

and

If the measure of angle m<JOP=84°

then

m arc JP=84° -----> by central angle

Remember that

The measure of the interior angle is the semi-sum of the arcs that comprise it and its opposite.

so

m<JKP=(1/2)[arc IL+arc JP]

substitute the values

m<JKP=(1/2)[38°+84°]=61°

3 0
3 years ago
What should be done to solve the following equation?
Lera25 [3.4K]

Answer:

Subtract 8 from both sides of the equation and also Subtract 14 from both sides of the equation.

Step-by-step explanation:

Here, x+8=14

when subtracting 8 from both sides of the equation,

or, x+8-8=14-8

or, X=6

Also, when Subtracting 14 from both sides of the equation,

x+8-14=14-14

or, x-6=0

or, x=6

7 0
3 years ago
Read 2 more answers
Which number is irrational?<br> -4<br> 2/9<br> 8.26<br> 11
kipiarov [429]

Answer:

None of them are irrational.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

Therefore:

-4 can be written as -4/1

2/9 is already in fraction

8.26 can be written as 826/100

11 can be written as 11/1

None of them are irrational.

However numbers like  \sqrt{x}, \pi are irrational as they can not be represented as fractions.

3 0
2 years ago
Which of the following illustrates the truth value of the given statements? January is the first month of the year or December i
Dafna11 [192]
First, the need to determine if the statements are true or false.

1) January is the first month of the year. (This statement is true)
2) December is the last month of the year. (This statement is also true)

With this in mind we can determine that what will illustrate the truth value would be:

T T -> T

In other words, since the first statement is true and the second statement is also true then conjunction of both statements would be true.
5 0
3 years ago
Read 2 more answers
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
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