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3 years ago

Indicating whether the following statements are True (T) or False (F).

1 answer:

7 0

1. The difference of two rational numbers is always a natural number. TRUE
2. The ratio of two rational numbers is always positive .FALSE

3. The difference of two rational numbers is always a rational number. TRUE

4. The quotient of two rational numbers is always a real number (provided the denominator is non-zero). FALSE

5. The quotient of two rational numbers is always a rational number (provided the denominator is non-zero).TRUE

6. The sum of two rational numbers is always a rational number. FALSE

7. The product of two rational numbers is always a rational number. FALSE

You might be interested in

Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of

Vladimir79 [104]

There's only one decimal point in the answer. This is quite obvious. Regardless of whether or not your adding, subtracting, dividing, or multiplying, there's really only going to be one decimal, ever. This doesn't change, However, what DOES change are decimal PLACES.

Looking at the problem, you see both .6 and .4 are placed to the right of the decimal, otherwise known as the tenths place (1/10).

Looking at 1.9, you see you have one number (1) placed to the left of the decimal, the ones place, and another number placed to the right of the decimal (9), in the tenths place.

Well, this is simple. You can look and see that your multiplying fractions against a whole number, which will of course make this whole number even smaller. By how much though??

Well, you can really tell this by looking at how MANY numbers are behind the decimal. You have .9, .4, and .6

That's 3 numbers behind the decimal place. This may not help you solve the problem itself, but this tells you here (ignoring the 1, that will be taken out immediately while solving and turned into a 0) that you will have 3 numbers placed from the tenths place all the way to the thousandths place.

Basically, this tells you that you'll have three decimal places to the right of the decimal.

As for rewriting your problem to better show this, that's simple too.

All you have to do is simple multiplication, just in the tenths place. How? You know that 6*4 (referring to .6 and .4) is 24, that means that .6*.4 will be .24

How does this support your answer before? .24 has TWO numbers to the right of the decimal. That's TWO decimal places. With the .9 in 1.9, that's still THREE decimal places to the right of the decimal, and your answer would be the same.

So, here's it re-written.
1.9*.24=X

~Hope this helps!

4 0

3 years ago

PLEASE HELP!!!!!!!

r-ruslan [8.4K]

Answer:

50 degrees

Step-by-step explanation:

3 x 6 = 18

56 - 18 = 38

38 + 12 = 50

8 0

3 years ago

Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

Read 2 more answers

(6x −9)3−1=((6x−9)3)(0) Solve for X

Tasya [4]

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1 = 0 Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1 Combine

(6x - 9)*3 = 1 Divide both sides by 3

(6x - 9)*3/3 = 1/3 Simplify

(6x - 9) = 1/3 Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3 Combine

6x = 9 1/3

6x = 28/3 Divide both sides by 6

6x / 6 = 28/3 // 6 Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

6 0

2 years ago

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare. The formula i

Aleonysh [2.5K]

m = 4a + 2c

a = 25; c = 5

Replace a with 25. Replace c with 5.
Then evaluate the expression.

m = 4 * 25 + 2 * 5

m = 100 + 10

m = 110

Answer: 110 meatballs are needed.

4 0

3 years ago