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UNO [17]
2 years ago
9

Anita is making a curtain to surround a table. she bought 3 1/4 yards of fabric. her total cpst was 13$. what was the cost per y

ard
Mathematics
1 answer:
Delvig [45]2 years ago
5 0

Hey there!!

Total length of the fabric bought = 3 1/4 yards

First, let's convert this mixed fraction to improper fraction

3 1/4 = 13/4

The total cost for 13/4 yards = $13

Find cost per yard

Let's take the cost per yard as ' x '

Then, 13/4 yards = 13x / 4

Let's get this into an equation -

13x/4 = 13

Multiply by 4 on both sides

13x = 52

Divide by 13 on both sides

x = 52 / 13

x = 4

The cost per yard = $4

Hope my answer helps!

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Help me out please, thanks
aev [14]

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

8 0
2 years ago
Last year, there were 12,000 students at a local college. There were 2000 more female students than male students. How many male
krek1111 [17]
There is 7,000 female students, and 5,000 male students. Because, if there was 2,000 more female students then male, you have to find out what two numbers add up to 12,000. (Tip, to make it easier, take away the thousands, like 7+5)
5 0
3 years ago
Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab
Katarina [22]

Answer:

$13564

Step-by-step explanation:

\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\%  of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\%  of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\%  of the amount over 77,100\end{array}\right|

\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\%  of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\%  of the amount over 349,700\end{array}\right|

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

5 0
3 years ago
Read 2 more answers
The values of x and y are proportional. Determine the constant of proportionality(k)
Studentka2010 [4]
<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0
3 years ago
Daniel rides his bicycle 21km west and then 18km north. How far is he from his starting point?
insens350 [35]

This is a right triangle. To find the length of the hypotenuse a^2 + b^2 = c^2.

21^2 + 18^2 = c^2

441 + 324 = c^2

765 = c^2

27.66 km

6 0
3 years ago
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