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2 years ago

Van purchased a DVD player on sale. The original selling price was

Mathematics

1 answer:

hammer [34]2 years ago

8 0

Answer:

the first step is find the amount of money you saved

Step-by-step explanation:

171.50-145.12=26.38

26.38 / 171.5 = .154

15.4%

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Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1

Leto [7]

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

5 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

property of real numbers that states that the order in which numbers are added or multiplied dose not change the value

timurjin [86]

Answer:

"Commutative property of addition and of multiplication"

Step-by-step explanation:

This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.

7 0

3 years ago

I don't this question so I need help with this problem

sveta [45]

So first divide 7,500 by 150 and you will get 50.Next,do 17X50 which will give you 850.The answer is 850 Gold beads.Hope that helped.Have a happy new year

4 0

3 years ago

Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor

AlladinOne [14]

Answer:

$-2x - h - 3$