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2 years ago

Solve 1/x-1/x-5=1/3x

Mathematics

1 answer:

Arada [10]2 years ago

3 0

9514 1404 393

Answer:

x = -10

Step-by-step explanation:

We assume your equation is ...

$\dfrac{1}{x}-\dfrac{1}{x-5}=\dfrac{1}{3x}$

Subtracting the right side, then expressing with a common denominator gives ...

$\dfrac{3}{3x}-\dfrac{1}{3x}-\dfrac{1}{x-5}=0\\\\\dfrac{2}{3x}-\dfrac{1}{x-5}=0\\\\\dfrac{2(x-5)-3x}{3x(x-5)}=0\\\\\dfrac{-x-10}{3x(x-5)}=0\\\\\boxed{x=-10} \qquad\text{equate the numerator to 0 and add $x$}$

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Evaluate 6x + 11 when x = 7

nlexa [21]

Answer:

Step-by-step explanation:

To evaluate 6x + 11, we must substitute the value of x.

Since we know that x = 7, it is easier to evaluate the expression;

6x + 11

6(7) + 11

Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;

6(7) + 11

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When you add the two numbers you get:

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3 years ago

Which equation represents a linear function?

quester [9]

Answer:

Step-by-step explanation:

y = 9 - X is a linear function; x is to the first power.

y = x2 + 1 does NOT represent a linear function; it's a quadratic function.

y=x² + 5 does NOT represent a linear function; it's a quadratic function.

y = [xl - 9 does NOT represent a linear function; it's an absolute value function. This function has two halves, each of which is a linear function.

But the best answer here is that y = 9 - X is a linear function; x is to the first power.

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2 years ago

Geometry question, any help is appreciated

kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere $V_{s}$ = 250 $yd^{3}$

Volume of large sphere $V_{l}$ = 686 $yd^{3}$ .

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = $\frac{4 \pi \times r^{3}}{3}$ , this gives us that the ratio of the radius = ∛ $V_{s}$ : ∛ $V_{l}$

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = $4 \pi \times r^{2}$ , this gives us that the ratioof surface area = $r_{s} ^{2}$ : $r_{l} ^{2}$

i.e The ratio of the surface area = $5^{2}$ : $7^{2}$ = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

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2 years ago

Read 2 more answers

Willie and Emily each purchase one raffle ticket. If a total of seven raffle tickets are sold, what is the probability that Will

Nimfa-mama [501]

1/42

First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.

Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.

Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.

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2 years ago

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Solve for x. PLEASE HELP ASAP

Paha777 [63]

Answer:

x = 6

Step-by-step explanation:

the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is

∠ UVW = $\frac{1}{2}$ (UW - WU ) , then

5x + 17 = $\frac{1}{2}$ (37x + 5 - (23x - 5) ) ← multiply both sides by 2

10x + 34 = 37x + 5 - 23x + 5

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

7 0

1 year ago

Solve 1/x-1/x-5=1/3x​

Solve 1/x-1/x-5=1/3x