Select the correct answer. Simplify the following expression. x-2/3 times x 6/7

Answers

Answer 1
Answer:

Answer: Correct Answer is X 4/21

Step-by-step explanation: I got it right

Answer 2
Answer:

Answer:

4/7

Step-by-step explanation:


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A farm stand wants to sell fruit to local grocery stores in packages withbaskets of apples, worth $10 apiece, and baskets of peaches, worth $13
apiece. The owner wants each package to include 50 baskets total, and he
wants to sell each package for $566. How many baskets of apples and how
many baskets of peaches should he put in each package?
A. 10 apples, 13 peaches
B. 13 apples, 10 peaches
C. 28 apples, 22 peaches
D. 22 apples, 28 peaches

Answers

Answer:

28 apples and 22 peaches

Step-by-step explanation:

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6/8 reduced to the lowest term

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

both the numerator and denominator can be divided by 2

6/2=3

8/2=4

so 6/8 in lowest terms is 3/4

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Answers

Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

How the equivalent expression is determined?

To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.

Like terms have the same variables and the same exponents.

Let's group the like terms together:

(3m² + m²) + (2mn + 4mn) + (-n²- n²)

Combining like terms within each group, we get:

4m² + 6mn - 2n²

Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

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Answer:

4m² + 6mn - 2n²

Step-by-step explanation:

(3m^2+2mn-n^2)+(m^2+4mn-n^2)\n\n=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\n\n=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\n\n=\boxed{4m^2+6mn-2n^2}

Add: (−2x^2 + 9x − 3) + (7x^2 − 4x + 2)

Answers

Answer:

5x^2+5x-1

Step-by-step explanation:

-2x^2+9x-3+7x^2-4x+2=5x^2+5x-1

If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need?
34 ft

Answers

The perimeter of the rectangle is:

P = 136ft

How much fencing will he need?

For a rectangle of length L and width W the perimeter is:

P = 2*(L + W)

And for a square of side length S, the perimeter is:

P' = 4*L

The length of the rectangle is:

L = 34ft + x

The width is W = x

For the square we have the side length S = x

Here we know that the perimeter of the rectangle is twice the perimeter of the square, then:

2*(W + L) = 2*(4*S)

Replacing these variables in terms of x, we get.

2*(x + 34ft + x) = 2*(4*x)

4x + 68ft = 8x

68ft = 8x - 4x = 4x

68ft/4 = x = 17ft

Then the perimeter of the rectangle is:

P = 2*(34ft + 17ft + 17ft) = 136ft

If you want to learn more about perimeters:

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What is a simplified expression for (x + y)-(x + y)?

Answers

Answer:

0

Step-by-step explanation:

(x + y)-(x + y)

Answer:

0

Step-by-step explanation:

What is a simplified expression for (x + y)-(x + y)?