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Akimi4 [234]
2 years ago
15

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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Just some questions I need answered!<br><br> Solve 4z &gt; -6<br><br> Solve x + 19 &lt;= -5
Dmitriy789 [7]

4z>-6

divide by 4

z>-6/4

z>-3/2



x+19<= -5

subtract 19 from both side

x<= -24


7 0
3 years ago
Graph linear system and estimate the solution y=5x + 2 y=3x
NeTakaya
Y = 5x + 2
y = 3x

  5x + 2 = 3x
- 5x        - 5x
          2 = -2x
         -2    - 2
         -1 = x
y = 3x
y = 3(-1)
y = -3
(x, y) = (-1, -3)

3 0
3 years ago
How to calculate intrest
Goryan [66]

Answer:

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8 0
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

8 0
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
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