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jasenka [17]
3 years ago
11

A large office desk has an area of 42 ft^2. If the width is 3.5 feet, write an equation to represent the area

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

3.5 * length = 42

length = 12 feet

area = length * width


Step-by-step explanation:


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What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
Deffense [45]
Here's the equation for one year:
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25(0.06(6500)) + 6500
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3 0
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Which is bigger 40% of 180 or 1/4 of 320
Veronika [31]
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Compute the permutation.
Anon25 [30]
So you have 8 digits (number available) to form 3 digit numbers (number selected).

Using the formula ^{a} P_{c} where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.

The number of three digit numbers that can be formed = ^{8} P_{3}
                                                                                       = 336

                                                <span> O R

</span>By using the formula Permutation =  \frac{a ! }{( a - c) !} where a is the number of available digits and c is the number of digits to be selected.<span>

</span>⇒  Permutation = \frac{8 ! }{( 8 - 3) !}
<span>
</span>⇒  Permutation = \frac{40, 320 }{120}
<span>
</span>⇒ Permutation = 336<span>
</span>
8 0
3 years ago
URGENT HELP ASAP
nadezda [96]

Answer:

(2x - 1)

Step-by-step explanation:

  • <em>Volume of a rectangular prism is: V = lwh, where l= lenght, w= width, h= height</em>
<h3>Given</h3>
  • V = 36x³ + 60x² + x - 20
  • l = (3x + 4)
  • w = (6x + 5)

and

  • h = ?
<h3>Solution</h3>

Since the volume is the polynomial of third degree and the two of the factors are of the first degree, the third factor is going to be a first degree  as well in the format of (mx +n)

<u>So we have below equation:</u>

  • 36x³ + 60x² + x - 20 = (3x + 4)(6x + 5) (mx + n)

<u>We can work out the value of m and n:</u>

  • 3x*6x*mx = 36x³
  • 18mx³ = 36 x³
  • m = 2

<u>And</u>

  • 4*5*n = -20
  • 20n = -20
  • n = -1

So we get the factor of (mx + n) = (2x - 1)

<u>Therefore </u>

  • h = (2x - 1)

<u>Proof of the polynimial is correct:</u>

  • (3x + 4)(6x +5)(2x - 1) =
  • (18x²+39x+20)(2x - 1) =
  • 36x³ - 18x² + 78x² - 39x + 40x - 20 =
  • 36x² + 60x² + x - 20

8 0
3 years ago
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