1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
3 years ago
7

Betty is making 6 skirts. Each skirt uses 2/3 of a yard. How many yards does she need?

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

She needs 4 yards.

Step-by-step explanation:

To multiply fractions, you just multiply the whole number by the numerator of the fraction.

<em>The numerator is the top number of a fraction.</em>

<em>The denominator is the bottom number of a fraction.</em>

You can think of the whole number 6 as the fraction 6/1.

<h3>Step 1</h3>

Multiply 6/1 by 2/3

6x2=12

1x3=3

So, 6/1x2/3=<u>12/3</u>

<u></u>

<h3>Step 2</h3>

Now you need to simplify the fraction

Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.

12÷3=4

<h2>So betty needs 4 yards of fabric to make 6 skirts.</h2>

You might be interested in
Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.
34kurt

Step-by-step explanation: Do You Want Me To Find All The Values ?

3 0
3 years ago
Remember that you can multiply by the reciprocal of the divisor when you divide by a fraction. find each quotient. simplify if p
QveST [7]
1. 1/6
2.1/47
3. 1/16
4. 1/16
4 0
3 years ago
The profit P (in thousands of dollars) for an educational publisher can be modeled by P 52b31 5b21b where b is the number of wor
Anna007 [38]

Answer:

The lesser number of workbooks are 1,000

Step-by-step explanation:

The correct question is

The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?

we have

P=-b^3+5b^2+b  

For P=\$5,000

substitute in the equation and solve for b

Remember that the profit and the number of workbooks is in thousands

so

P=5

5=-b^3+5b^2+b

Using a graphing tool

Solve the cubic function

The solutions are

x=-1

x=1

x=5

therefore

The lesser number of workbooks are 1,000

<u><em>Verify</em></u>

For b=1

P=-(1)^3+5(1)^2+1  

P=5  -----> is in thousands

so

P=\$5,000 ----> is ok

7 0
3 years ago
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
svlad2 [7]

Answer:

f(x) = -1

g(x) =6

\frac{-1}{2x + 3} + \frac{6}{3x + 7}

Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

P = \frac{9x + 11}{6x^2 + 23x + 21}

And the decomposition is:

\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

The solution is as follows:

P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Substitute the expression for P

\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Expand the numerator of the polynomial

\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Take LCM

\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}

Cancel out both denominators

9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)

Represent f(x) as A and g(x) as B

9x + 11} = A*(3x + 7) + B*(2x + 3)

Open bracket

9x + 11} = 3Ax + 7A + 2Bx + 3B

9x + 11} = 3Ax + 2Bx+ 7A  + 3B

9x + 11} = (3A + 2B)x+ 7A  + 3B

By comparison:

3A + 2B = 9 ---- (1)

7A  + 3B =11 ---- (2)

Make B the subject in (1)

B = \frac{9 - 3A}{2}

Substitute B = \frac{9 - 3A}{2} in (2)

7A + 3(\frac{9 - 3A}{2}) = 11

Multiply through by 2

2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2

14A + 3(9 - 3A) = 22

14A + 27 - 9A = 22

Collect Like Terms

14A - 9A = 22-27

5A = -5

A = \frac{-5}{5}

A = -1

Recall that:

B = \frac{9 - 3A}{2}

B = \frac{9 - 3 * -1}{2}

B = \frac{9 + 3}{2}

B = \frac{12}{2}

B = 6

A = -1 and B = 6

3A + 2B = 9 ---- (1)

7A  + 3B =11 ---- (2)

So:

f(x) = A

f(x) = -1

g(x) =B

g(x) =6

And the decomposition is:

\frac{-1}{2x + 3} + \frac{6}{3x + 7}

6 0
2 years ago
Graph f(x) = |x – 2 +3.<br> Use the ray tool to graph the function.
lidiya [134]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What percent of 48 is 18
    7·1 answer
  • What is the distance between the points (2, -7) and (-3, -2) on the coordinate plane?
    11·1 answer
  • I need help now Please!!!!<br><br> Solve For X
    12·1 answer
  • How much is 2,605 rounded to the nearest hundred
    13·1 answer
  • Simplify -4b+(-9k)-6-3b+12
    5·1 answer
  • 1(4 – 22); 2 – 2x<br><br> I don’t get this question can someone help me
    10·1 answer
  • Can somebody please help me!!
    14·1 answer
  • Write the fraction that represents her constant speed, C, if she walks y miles in 10 mil
    14·1 answer
  • Please help asap no trolls!
    7·1 answer
  • Which equation is shown in the graph?<br><br> Best answer gets brainliest!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!