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allsm [11]
3 years ago
13

How many 4 1 2 inch strips can be made from 45 inches of shipping tape?

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0
Just divide the 45 by the 4½

thus \bf 45\div 4\frac{1}{2}\iff \cfrac{45}{4\frac{1}{2}}\implies \cfrac{\frac{45}{1}}{\frac{4\cdot 2+1}{2}}\implies \cfrac{\frac{45}{1}}{\frac{9}{2}}\implies \cfrac{45}{1}\times \cfrac{2}{9}\implies \cfrac{45\times 2}{1\times 9}
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Solve 5x^2 - 7x+2 -0 by completing the square. What are the solutions?
trapecia [35]

5<em>x</em>² - 7<em>x</em> + 2 = 0

5(<em>x</em>² - 7/5 <em>x</em>) + 2 = 0

5(<em>x</em>² - 7/5 <em>x</em> + 49/100 - 49/100) + 2 = 0

5(<em>x</em>² - 2 • 7/10 <em>x</em> + (7/10)²) - 49/20 + 2 = 0

5(<em>x</em> - 7/10)² - 9/20 = 0

5(<em>x</em> - 7/10)² = 9/20

(<em>x</em> - 7/10)² = 9/100

<em>x</em> - 7/10 = ± √(9/100)

<em>x</em> - 7/10 = ± 3/10

<em>x</em> = 7/10 ± 3/10

<em>x</em> = 10/10 = 1   or   <em>x</em> = 4/10 = 2/5

6 0
3 years ago
Solve the system of equations using the linear combination method.
Anit [1.1K]
       5p - 3q = -39
-     (-2p - 3q = 3)
==> 7p = -42 ==> p = -6

==> p = -6
      -2(-6) - 3q = 3 ==> 12 - 3q = 3 

==>p = -6
     -3q = 3 - 12 ==> -3q = -9

==> p = -6
       q = 3
      

7 0
3 years ago
Find the annual percentage yield for an account with an APR of 13.75% compounded continuously. Round your percentage to two plac
abruzzese [7]

Answer:

14.74%

Step-by-step explanation:

The formula for ANNUAL PERCENTAGE YIELD (APY) for an account that is COMPOUNDED CONTINUOUSLY is given as

APY = Pe^rt - 1

Where P = Principal

e = exponential

r = rate

t = time

Since Principal and Time was not given in the question,

APY = e^r - 1

r = 13.75% = 0.1375

APY = e^0.1375 - 1

APY = 1.147401706 - 1

APY = 0.147401706

Converting to percentage

= 0.147401706 × 100

= 14.7401706%

Approximately to 2 decimal places: 14.74%

Therefore, the annual percentage yield is 14.74%

4 0
3 years ago
A particular sound wave can be graphed using the function y = 1 sin 2x y = 1 sin 2 x . Find the amplitude of the function.
alexira [117]

<u>Answer</u>

1

<u>Explanation</u>

The general equation of a wave is ;

y = a sin(kX+Ф)

Where a represent the amplitude, 360/k represent the period of the wave and Ф represent the phase angle.

∴ In the equation y = 1 sin 2x,

Amplitude = 1

4 0
3 years ago
Just ignore this writing thank you :)
umka2103 [35]

Answer:

B , i believe

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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