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3 years ago

Which expression is equivalent to

Mathematics

1 answer:

Damm [24]3 years ago

4 0

Answer:

$\frac{(2a+1)^{2} }{50a}$

Step-by-step explanation:

$\frac{2a+1}{10a-5} * \frac{4a^{2} - 1}{10a}\\ = \frac{2a+1}{5(2a-1)} * \frac{(2a+1)(2a-1)}{10a}\\=\frac{(2a+1)^{2} }{50a}$

1.The expression given is in division so when changing to multiplication the fraction is reversed.

2.Using algebra identity $a^{2} - b^{2} = (a+b)(a-b)$ .

3. Taking the common factor 5 out.

4. Finally cancelling the like terms from the numerator and denominator.

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Plz help me out with this and do show work I will be waiting.... btw u will be marked brainliest!!!!!! Fast plz

pychu [463]

Answer:

x=16°

Step-by-step explanation:

5*x-30=2*(x+18)

For the second, I'd say it is:

5*x-30=2*x+18

Let's solve both.

5*x-30=2*(x+18)

5x-30=2x+36

3x=66

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5*x-30=2*x+18

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3 years ago

Twenty- four divided by the difference between 1 1/2 and 3/4

NISA [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

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3 years ago

28 + 56t + 28w equivalent expressions

irina [24]

Answer:

28(1+2t+w)

Step-by-step explanation:

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Suppose a farmer is selling fresh produce at a local farmers market. She sells a quart of strawberries for $3.50 and a head of l

Triss [41]

Answer:Some farmers, such as cash grain farmers or dairy farmers, have large, well-established markets. They can use existing organizations to perform the marketing function for them, or they can band together, form a cooperative, and market their products jointly. Small-scale fruit and vegetable growers generally have more difficulty finding established markets; therefore, they usually develop marketing systems tailored to their unique situations.

Major Markets

Fruits and vegetables are produced seasonally, but the market requires products throughout the ye

Step-by-step explanation:

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3 years ago

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