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Gemiola [76]
3 years ago
14

Please help with this quick! Your answer will be appreciated or be given a thanks and a 5 star! If 2 people answer and yours mak

e the most sense ill even try to give brainly! .o.

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

Answer:

B A B B

Step-by-step explanation:

A good trick for fractions is to take the top number and divide it by the bottom number. This gives you the number version of the fraction. For example in question 4. 5/4 is 1.25. And 10/8 is 1.25. therefore they have the same value. Also another good trick. If the top number is more than the bottom number we know it will be 1 something because their is more than the bottom number. So if we have for example question 3 we know that 4 thirds will be at least 1 something if we divide it. And if we look at 8 ninths we know it will be less than 1 something since I is less than nine. Therefore if divided they will have different numbers

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Which of the following sequences is an arithmetic sequence? 1, 2, 4, 8, 18, ... 10, 12, 14, 16, 18, ... 200, 100, 50, 25, ... 4,
Leni [432]
The sequence 10, 12, 14, 16, 18, ... is an arithmetic sequence, with the common difference being 2.
6 0
3 years ago
A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing
Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

  • A fence must be built to enclose a rectangular area of 20,000 ft²
  • Fencing material costs $4 per foot for the two sides facing north and south and ​$8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides  is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ y=\frac{20,000}{x}

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

   North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ C=8x+16(\frac{20,000}{x})

∴ C=8x+\frac{320,000}{x}

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ \frac{320,000}{x} can be written as 320,000x^{-1}

∴ C=8x+320,000x^{-1}

∵ \frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}

∴ \frac{dC}{dx}=8-320,000x^{-2}

- Equate \frac{dC}{dx} by zero

∴ 8-320,000x^{-2}=0

∵ -320,000x^{-2}=-\frac{320,000}{x^{2}}

∴ 8-\frac{320,000}{x^{2}}=0

- Subtract 8 from both sides

∴ -\frac{320,000}{x^{2}}=-8

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √  for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ C=8(200)+\frac{320,000}{(200)}

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0
3 years ago
How many solutions does have 3x-6=3(x-2)<br>​
Anarel [89]

Answer:

Infinite.

Step-by-step explanation:

3x-6=3\left(x-2\right)

Expand:

3x-6=3x-6

Add 6 to both sides:

3x-6+6=3x-6+6

3x=3x

Subtract 3x from both sides:

3x-3x=3x-3x

0=0

No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.

3 0
3 years ago
How do I do number 1?
Kaylis [27]
Use the calculator in the app photomath
3 0
3 years ago
Fraction that is equivalent to but different from 4/13​
dem82 [27]

Answer:

8/26

Step-by-step explanation:

All you have to do is multiply the numerator and denominator with the same number. For example, I did 2. 4x2=8, and 2x13=26.

4 0
3 years ago
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