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3 years ago

What is -6x+3(4x-5)=21

Mathematics

2 answers:

Fynjy0 [20]3 years ago

5 0

-15 i think if not u just got to use the quadratic formula.

Talja [164]3 years ago

4 0

I don't exactly know what you're trying to solve but x=6

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The variables y and x have a proportional relationship, and y = 5 when x = 4. What is the value of x when y = 8? Enter your answ

Charra [1.4K]

Answer

Find out the what is the value of x when y = 8 .

To prove

As given

The variables y and x have a proportional relationship.

$y \propto x$

y = kx

Where k is the constant of proportionality.

As y = 5 when x = 4

Put in the above

5 = 4k

$k = \frac{5}{4}$

Now find out the value of x , when y = 8

$8 = \frac{5\times x}{4}$

$x = \frac{8\times 4}{5}$

x= 6.5

Therefore when y = 8 than x = 6.4

7 0

2 years ago

Read 2 more answers

Only need 3.. pls help!!!

Natalka [10]

Answer: I’m not really sure what the correct answer is if you could help that would be great so let me know

Step-by-step explanation:

6 0

3 years ago

The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m

Tresset [83]

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

6 0

2 years ago

If the population of a country increases at a rate of 1.5% annually and its current population is 430,000, how many years will i

Sphinxa [80]

Answer:

That is 74 years.

Step-by-step explanation:

1.5% = 0.015.

The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.

Triple the population is 430,000 * 3 = 1,290,000, so:

1,290,000 = 430,000(1.015)^n

(1.015)^n = 1290,000 / 430,000 = 3

Taking logs of both sides:

n log 1.015 = log 3

n = log 3 / log 1.015 = 73.8 years

5 0

3 years ago

Read 2 more answers

There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you

zalisa [80]

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3) = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3) = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

5 0

3 years ago