Solve the inequality 2(4 + 2x) a 5x + 52

Using the numbers 5, 8, and 24, create a problem using no more than four operations (adding, subtracting, multiplication, divisi

Alik [6]

The given three numbers are 5,8,24.

We have to use four operations (Adding, Subtracting,multiplication, division, square, square root, cube, cube root) out of these operation to make the result an irrational number.

$1. \sqrt{\frac{24}{8}} + 5=\sqrt{3}+5,\\\\2. \sqrt{\frac{24}{8}} - 5=\sqrt{3} -5 \\\\ 3.\sqrt{\frac{24 \times 5}{8}}=\sqrt{15} \\\\ 4. (5 \times 8 \times 24)^\frac{1}{3}$

There are many more examples that you can write.

Keep in mind

1. Sum of Rational and irrational is always irrational.

2. Difference of rational and irrational is always irrational.

As none of the 5,8,24 is a perfect square , nor addition of any two results in a perfect square, so square root of their addition or subtraction or multiplication results in an irrational number.

Similarly ,apart from 8, none of 5,24 is a perfect cube.So if you add or subtract any number from 8 and take their cube root or square root ,results in an irrational number.

3 0

3 years ago

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What kind of transformation is illustrated in this figure?

MArishka [77]

Answer:

reflection po

Step-by-step explanation:

I hope its help

7 0

3 years ago

Can someone help me please? justify your answer also plz!

Afina-wow [57]

Answer:

a. True

b. False

c. True

Step-by-step explanation:

a.

12 ÷ $\frac{36}{7}$ is equal to $\frac{7}{3}$

Personally, I hate fractions so I make these into decimals by dividing the numerator by the denominator, but I'll do both to show you.

Decimal:

$\frac{36}{7}$

In your calculator, type 12

Then the division sign.

Then make parenthesis

in the parenthesis you will have (36/7)

End parenthesis

Press the equal sign and you should get a grand total of 2.333 repeating

To see if its equal to $\frac{7}{3}$ , you put 7 divided by 3 in your calculator next

If you do, you should get 2.333 repeating.

This shows they are equal.

Fraction:

Keep, switch, flip

The first step will be to make your whole number into a fraction.

$\frac{12}{1}$ ÷ $\frac{36}{7}$

The first thing we use is keep

The first number in this equation is that $\frac{12}{1}$

We're going to leave it as it is.

Next we have to use switch. To do this we make the ÷ into a ×

So your problem should look as so:

$\frac{12}{1} * \frac{36}{7}$

Lastly, we have flip.

The last number in our equation is $\frac{36}{7}$

We are going to use the reciprocal of it which would be $\frac{7}{36}$

So your problem should now look like this:

$\frac{12}{1} * \frac{7}{36}$

At this point, we can now cross multiply

So from the numerator 12 to the denominator 36, if we divided 36 by 12 its 3.

But the denominator 1 and the numerator 7 are already divided as much as they can be.

So now your expression should be: $\frac{1}{1} * \frac{7}{3}$

This is because of that cross multiplication we did.

12 goes into 36, 3 times so 3 would substitute 36 while 1 would substitute 12

So now its just basic multiplication

$\frac{1*7}{1*3} = \frac{7}{3}$

So we can conclude that $12 * \frac{36}{7}$ does in fact equal $\frac{7}{3}$

b.

Multiplying a number by $\frac{1}{2}$ is the same as dividing by 2

This is false

When you multiply by 2, you are doubling the original number

When you multiply by $\frac{1}{2}$ , you are cutting the number in half

Ex:

18 * 2 = 36

18 * $\frac{1}{2}$ = 9

If it was dividing instead of multiplying, this would be true but since $\frac{1}{2}$ halves the number whether you multiply or divide it would not be true.

c.

$\frac{3}{2}$ of a number is less than this number

Basically, what this is saying is if you divide by $\frac{3}{2}$ , would it give you less than the original number.

The answer would be true

It would be division first of all because your looking for $\frac{3}{2}$ of a number.

Secondly, if you divide by a fraction or decimal, the number tends to be smaller than the number you started with.

Ex:

6 ÷ $\frac{3}{2}$ = 4 or 6 ÷ 1.5 = 4

Ex2:

682 ÷ $\frac{3}{2}$ = 454.6 repeating or 682 ÷ 1.5 = 454.6 repeating

I hope this helps! Don't be afraid to reach out with any further questions!

4 0

3 years ago

Solve for n. -6n = -5 - 5n n=

goblinko [34]

1. Simplify both sides

−6n=−5−5n

−6n=−5+−5n

−6n=−5n−5

2. Add 5n to both sides

−6n+5n=−5n−5+5n

−n=−5

3. Divide both sides by -1.

−n /−1 = −5 /−1

n=5

So the variable n, is equal to 5

4 0

3 years ago

What is another expression for 52+24?

Mekhanik [1.2K]

Answer:

50 plus2 plus 20 plus 4

Step-by-step explanation:

plz mark brainliest!

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3 years ago

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