What is the geometric mean of 4 and 36

I NEED HELP ASAP ITS A QUIZ Jim's uncle is four times as old as his nephew Jim. In ten years, Jim's uncle's age will be twenty y

Dmitrij [34]

Answer:

Jim's uncle is 20 years old right now

Step-by-step explanation:

The number of times Jim's uncle is as old as Jim = 4 times

The age of Jim's uncle in 10 years = 20 + 2 × Jim's age

Let Jim's age = A, and Jim's uncles age = B;

Therefore, from the information in the question, we have;

B = 4 × A........................................(1)

B + 10 = 20 + 2 × A......................(2)

Therefore, by substituting the value of B from equation (1) into equation (2), we have;

B = 4 × A

∴ B + 10 = 20 + 2 × A, gives;

4 × A + 10 = 20 + 2 × A

4 × A - 2 × A = 20 - 10 = 10

A × (4 - 2) = 10

2 × A = 10

A = 10/2 = 5

A = 5 years

Therefore, Jim's age = A = 5 years

Jim's age = 5 years

B = 4 × A = 4 × 5 years = 20 years

B = 20 years

Jim's uncles age = B = 20 years

Jim's uncles age = 20 years

Therefore;

Jim's uncle is 20 years old right now.

4 0

2 years ago

An angle whose measure is 405° is in standard position. In what quadrant does the terminal side of the angle fall?

ohaa [14]

Quadrant I

405=360+45 405-360=45

405 is one complete counterclockwise rotation plus one half of an angle measuring 90 degrees counterclockwise rotation (=45)

7 0

2 years ago

Read 2 more answers

Write the equation of the line parallel to 4x-5y=2 and passing through point (0,0)

kotykmax [81]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

We have:

$4x-5y=2\ \ \ \ |-4x\\\\-5y=-4x+2\ \ \ \ |:(-5)\\\\y=\dfrac{4}{5}x-\dfrac{2}{5}\to m_1=\dfrac{4}{5}\\\\l:y=m_2x+b\\\\k\ \prep\ l\Rightarrow\dfrac{4}{5}m_2=-1\ \ \ \ |\cdot\dfrac{5}{4}\\\\m_2=-\dfrac{5}{4}$

$l:y=-\dfrac{5}{4}x+b$

The line l is passing through point (0, 0). Substitute the coordinates of the point to the equation of a line l:

$0=-\dfrac{5}{4}\cdot0+b\to b=0$

$y=-\dfrac{5}{4}x\ \ \ \ |\cdot4\\\\4y=-5x\ \ \ \ |+5x\\\\5x+4y=0$

<h2>Answer: 5x + 4y = 0</h2>

8 0

2 years ago

A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$