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3 years ago

Select all the numbers that are rational.

Mathematics

1 answer:

anygoal [31]3 years ago

3 0

Answers:

C, D, E

Step-by-step explanation:

A rational number is a integer. It is also a terminating or repeating decimal.

A rational number can be written as a fraction of two integers.

Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.

Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.

Answer C is rational because it has a terminating decimal.

D and E are integers, which also can be written as fractions.

Out of the options given, C, D, and E have rational numbers, while all others do not.

The answers are C, D, and E.

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Trava [24]

Answer:

4/3

Step-by-step explanation:

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2 years ago

A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio

Andrej [43]

Answer:

(a) $h = \frac{2400}{w}$

(b)300 Hours

(d)Reduced and halved.

(e) $w = \frac{2400}{h}$

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

$h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}$

(b)If the student earns $8 an hour

w=$8

$\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours$

(c)When the wage per hour =$16

When w=$16

$\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours$

The number of hours reduced and is in fact halved.

(d)

$\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2} X \frac{2400}{w} =\frac{h}{2}$

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

$\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}$

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3 years ago

What is the volume of the cylinder below? Use 3.14 for pi and I round to the nearest tenth

Rainbow [258]

Answer:

Option (4).

Step-by-step explanation:

Formula to calculate the volume of a cylinder is,

V = πr²h

Here r = radius of the cylinder

h = Height of the cylinder

From the figure attached,

r = $\frac{13}{2}=6.5$ cm

h = 11 cm

Now we substitute the values of h and r in the formula,

V = π(6.5)²(11)

= 464.75π

= 1459.32

≈ 1459.3 cm³

Therefore, volume of the given cylinder is 1459.3 cm³

Option (4) will be the answer.

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4 years ago

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Amiraneli [1.4K]

im pretty sure it's -2.

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3 years ago

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melisa1 [442]

Answer:

First choice: m = -4

Step-by-step explanation:

The second equation is already solved for n, so lets's use the substitution method and substitute m - 2 for n in the first equation.

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m - 2m + 4 = 8

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3 years ago

Read 2 more answers