3. If 30 is 50% of a value, what is that value?

Let a be a rational number and b be an irrational number. Which of the following are true statements?(there is more than 1 answe

kramer

A.) the sum of a and b is never rational.
This is a true statement. Since an irrational umber has a decimal part that is infinite and non-periodical, when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.

B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.

C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like $\sqrt{2}$ , you will end with a rational number: $( \sqrt{2} )^{2}=2$ , but, if you square rationals from different roots than square root like $\sqrt[3]{2}$ , you will end with an irrational number: $\sqrt[3]{2^{2} } = \sqrt[3]{2}$ .

D.) a^2 is always rational
This one is false. If you square a rational number, you will always end with another rational number.

E.) square root of a is never rational
This one is false. The square root of perfect squares are always rational numbers: $\sqrt{64} =8$ , $\sqrt{16} =4$ ,...

F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.

We can conclude that given that a is a rational number and b be an irrational number, A, C, D, and F are true statements.

4 0

3 years ago

The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represent

lisabon 2012 [21]

Well area of a rectangle is given by the equation

a = L x W

Since they give us the expression for length and width we can find the expression for the area...

a = (3x - 4) x (2x - 5) or simply
a = (3x -4)(2x - 5)

Now we multiply

6x^2 - 15x - 8x + 20 =
6x^2 - 23x + 20

Your answer is C.

8 0

3 years ago

G^2 + 4gh ; if g = -3 and h= 5

Klio2033 [76]

<h3 /><h3> ${g}^{2} + 4gh \\ { - 3}^{2} + 4( - 3 \times 5) \\ 9 + ( - 12 \times 20) \\ 9 +( - 240 ) \\ = - 231\\$ </h3>

- BRAINLIEST answerer

7 0

3 years ago

Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is o

muminat

2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.

4 0

3 years ago

For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not rai

Amiraneli [1.4K]

Answer:

14,800 people are expected to attend the concert

Step-by-step explanation:

In this question, we are tasked with calculating the expected number of people that will attend a concert on a particular day.

The key to answering this question is to multiply the individual probabilities of the two events by the expected number of people

Mathematically, what we obtain is the following;

The expected number of people at the concert = (probability of raining × expected number of people when it rains) + (probability of not raining × Expected number of people when it does not rain)

From the question, we identify that;

Probability of raining = 30% = 30/100 = 0.3

Probability of not raining = 1-probability of raining = 1-0.3 = 0.7

Expected number of people when it rains = 5,000

Expected number of people when there is no rain = 19,000

we plus these vales into the equation we have;

The expected number of people at the concert =( 0.3 × 5,000) + (0.7 × 19,000) = 1,500 + 13,300 = 14,800 people

6 0

4 years ago