1. The product of five and a number is 15

Mathematics

1 answer:

dedylja [7]3 years ago

6 0

Answer:

Step-by-step explanation:

(1) $5x = 15$

Dividing both sides by $5$ will give us the answer:

$x = 3$

(2) $x + 6 = 16$

Subtracting both sides by $6$ will give us the answer:

$x = 10$

(3) $\frac{27}{x} = 9$

First let's multiply both sides by $x$

$27 = 9x$

Now, let's divide both sides by $9$ to get our answer:

$x = 3$

(4) $6x = 72$

Dividing both sides by $6$ will give us the answer:

$x = 12$

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I’ll mark brainest! Find all the real cube roots of -0.000125

Ymorist [56]

Answer:

-0.05

Step-by-step explanation:

This will become much easier if we can get the ugly decimal into a nice fraction form.

Start by recognising $\frac{1}{8}=0.125$ . This is almost correct except the fraction is out by some number of factors of 10 (because the 125 part is correct but the number of 0s isn't).

$\frac{1}{80} = 0.0125\\\frac{1}{800}=0.00125\\\frac{1}{8000}=0.000125$

And hence we see that $-0.000125=-\frac{1}{8000}$ and now the cube root becomes easy to compute:

$\sqrt[3]{-0.000125} = \sqrt[3]{\frac{-1}{8000}} = \frac{\sqrt[3]{-1}}{\sqrt[3]{8000}} = \frac{-1}{20} = -0.05$ .

Advanced: You ask for all real cube roots. however the function $y=\sqrt[3]{x}$ is described as bijective. This means for all x, there is only one y corresponding to it. (And also for all y there is only one x corresponding to that). This means there can only ever be one cube root of any real number.