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2 years ago

If it is known that a+b/a-b=c, find the following: 2a-2b/5a+5b

Mathematics

1 answer:

Olin [163]2 years ago

4 0

Answer:

$\frac{2a-2b}{5a+5b} =\frac{2}{5c}$

Step-by-step explanation:

$\frac{a+b}{a-b} =c$

$\Longleftrightarrow \frac{a-b}{a+b} =\frac{1}{c}$

$\Longleftrightarrow \frac{2}{5} \times \frac{a-b}{a+b} =\frac{2}{5} \times \frac{1}{c}$

$\Longleftrightarrow \frac{2\times(a-b)}{5\times(a+b)} = \frac{2\times1}{5\times c}$

$\Longrightarrow \frac{2a-2b}{5a+5b} =\frac{2}{5c}$

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Dmitriy789 [7]

4z>-6

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3 years ago

Graph linear system and estimate the solution y=5x + 2 y=3x

NeTakaya

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3 years ago

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2 years ago

Read 2 more answers

The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

Therefore, we let $u = 1 + 4x^{2}$

Thus, $du = 8dx.$

So,

$xdx = \frac{1}{8}du$

Also, the interval of the integration changes to [ 37, 65]

Thus,

$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

= $\frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} } }$

= 156.5 units²

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3 years ago

Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou

Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.

$x+y\leq 13$

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

$4x+7y\geq 65$

Number of hours can not be negative.

$x\geq 0, y\geq 0$ .

Therefore, the required system of inequalities contains some equations, $x+y\leq 13,4x+7y\geq 65$ and $x, y\geq 0$ .

4 0

3 years ago