How many solutions does the following system of equations have?v=x+2
2y=5144
O A. Zero
O B. Infinitely many
O C. Two
O D.One

Answers

Answer 1

Answer: The answer would be two

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Please solve this proportion with steps (I'm stuck)
(9x+6)/18= (20x+4)/3x

Answers

$(9x+6)/(18)=(20x+4)/(3x)$

Cross multiply. Distribute...
$3x(9x+6)=18(20x+4)\n27x^2+18x=360x+72\n27x^2-342x-72=0\n3x^2-38x-8=0$

OH GOD IT'S A QUADRATIC
(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
plug these values into the quadratic formula and simplify.)
$x=(-b\pm√(b^2-4ac))/(2a)=(-(-38)\pm√((-38)^2-4(3)(-8)))/(2(3))=\frac{38\pm√(1444+96)}6\n\n√(1444+96)=√(1540)=√(4*345)=2√(345)\n\n\frac{38\pm2√(345)}6=\boxed{x=\frac{19\pm√(345)}3}$

Approximate values for x: -0.20714 or 12.874

First, distribute your like terms, which in this case is 'x'

you should get (9x+6)/18= 60x + 12

then you have to multiply both sides by 18 to get rid of the fraction

you should then get 9x+6= 1080x + 206

next, subtract 9x from 1080x, you should get 1071x

then subtract 206 on the side the 6 is on and you should get -200=1080x

divide both sides by 1080 and you should get x=0.19

For future preferences use PEMDAS = Parentheses, exponents, multiplication, division, addition, and subtraction. (Yeah, I know I didn't do it in that order)

How do you write 20/100 as a decimal

Answers

The fraction number 20/100 into a decimal form will be 0.20.

The decimal number is the combination of an integer number and part of a rational number. The rational number is greater than zero but less than one.

The fraction number is given below:

⇒ 20 / 100

Convert the fraction number into a decimal form, then we have

⇒ 20 / 100

⇒ 0.20

More about the decimal number link is given below.

brainly.com/question/4708407

#SPJ6

Its the teo digits in 100 that help so it would be,

.02

The 2 would be the second digit

M + 12 = 10 solve equation

Answers

OK. Watch carefully, as I guide you through the mysterious and
complex methods of solution, taught to me from the ancient
sacred scrolls of Tibet. It won't be easy, but I'll go slow so that
neither of us gets lost along the path, to the ultimate wisdom.
Remember ... the "solution" is the number that 'M' must be, in order
to make the equation a true statement. Ready ? Here we go.
Fossen your seat belt, it's goin to be eh boompy rade, mon:

The equation. You said that M + 12 = 10

Subtract 12 from each side: M = -2 .

Were you able to follow all of that ?

22/8 minus 1 6/9 equals

Answers

Answer:

1.083

Step-by-step explanation:

2.75-(9+6)/9

Answer:

1 1/12

Step-by-step explanation:

1 and 6 over 9/2 in converted into an improper fraction before you can do anything. you can do this by multiplying the one by 9 it should be coolant to 9 and then add it to the numerator. the fraction should equal 15/9. once you've got this new fraction you have to find the GCF otherwise known as the greatest common factor . 8 + 9 really don't have a lot of numbers that factor into each other . So in order to convert them to a place where you can easily subtract, you would multiply 22/8 by 9 and you would multiply 15/9 by 8 . this should be equal to 198/72 and 120/72. from this point you can easily subtract and see that the answer would be 78 / 72 . because 78 and 72 both end in 8 and 2 which are even numbers, you can reduce the fraction and convert it to a mixed number. At this point it should be equivalent to 1 1/12

Jamal has the following choices for his pizza: white sauce or red sauce; white cheese or yellow cheese; and mushrooms, pepperoni or sausage. What is the probability that he creates a pizza that has red sauce and mushrooms?

Answers

Answer:

The probability that he creates a pizza that has red sauce and mushrooms are:

$(1)/(6)$

Step-by-step explanation:

Jamal has the following choices for his pizza:

White sauce or red sauce; white cheese or yellow cheese; and mushrooms, pepperoni or sausage.

Let A denote the event of choosing a red sauce.

and B denote the event of choosing a mushroom.

Let P denote the probability of an event.

Now we know that event A and event B are independent.

We are asked to find:

P(A∩B)

Since the two events are independent.

Hence,

$P(A\bigcap B)=P(A)* P(B)$

$P(A)=(1)/(2)$

( Since out of 2 choices i.e. white sauce or red sauce , we have to choose red sauce)

and

$P(B)=(1)/(3)$

( Since, out of 3 choices i.e. mushrooms, pepperoni or sausage we have to choose mushroom)

Hence, the answer is:

$P(A\bigcap B)=(1)/(2)* (1)/(3)$

i.e.

$P(A\bigcap B)=(1)/(6)$

the probability of jamal making a pizza with red sauce and mushrooms is 2/7

Suppose that poaching reduces the population of an endangered animal by 8% per year. Further suppose that when the population of this animal falls below 70, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1400, when will it face extinction?

Answers

Answer: 36 years

Step-by-step explanation:

Here, the current population of the animal is 1400,

And, the population of an endangered animal by 8% per year.

Also, Further suppose that when the population of this animal falls below 70, its extinction is inevitable.

Let after x years the population of animal falls below 70,

Therefore, $1400(1-(8)/(100) )^x < 70$

⇒ $((92)/(100))^x < (70)/(1400)$

⇒ $((92)/(100))^x < (1)/(20)$

⇒ $x log(.92) < log(0.5)$

⇒ $- 0.03621217265 x < -1.30102999566$

⇒x>35.9279739462

Thus, after 36 years( Approx) the population of the animal will be fall towards 70.

Final answer:

The Question involves calculating the time it will take for an endangered animal's population to fall to a level that ensures extinction using the concept of Mathematical Exponential decay. Set up the exponential decay formula, substitute the given values, and solve for time.

Explanation:

The situation described in the question is an example of exponential decay, a concept in mathematics where a quantity decreases at a rate proportional to its current value. In this case, the animal's species population is decreasing by 8% per year.

To find the time it takes until the endangered animal's population falls below 70 and faces extinction, we need to set up the decay formula:

Where:

P0 is the initial population (1400 in this instance),

r is the rate of decrease (0.08 as 8% in this instance),

P is the predicted population (70 in this instance), and

t is the time in years that we're trying to solve for.

Solving this equation for t, we get:

t = log(P/P0) / log(1 - r)

Substitute the variables with our values, then compute to find the approximate time when the animal's population is expected to fall below 70.