All categories

2 years ago

Find two positive numbers whose difference is 27 and whose product is 874.

Mathematics

1 answer:

zalisa [80]2 years ago

6 0

46 and 19. 46 x 19 = 874 and 46 - 19 = 27

You might be interested in

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

9 months ago

A sales associate is given a $500 hiring bonus with a new job. She earns an average commision of $250 per week for the next 12 w

allsm [11]

$3500 250 x 12 + 500

4 0

3 years ago

Point p was rotated about the origin (0,0) by -15 degrees.<br><br> Which point is the image of P?

Airida [17]

Answer:

the answer is d.

Step-by-step explanation:

8 0

3 years ago

Find the area. 1m 2.1m and 0.9m

Elina [12.6K]

Just multiply w*l*h
1.89m cubed

6 0

3 years ago

The grounds keeper of Estofer Park has to mow 14,623 sq. ft. of grass. He can mow 13 sq. ft of grass in one minute. How many min

MA_775_DIABLO [31]

Answer: $1,124\frac{11}{13}\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes that will take him to mow the entire park.

You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.

Then, you can write the following proportion:

$\frac{1}{13}=\frac{x}{14,623}$

Solving for "x", you get:

$x=\frac{14,623}{13}\ min$

To write that improper fraction as a mixed number:

- The quotient when you divide the numerator by the denominator of the fraction obtained, is $1,124$ (This will be the whole number).

- The remainder of that division is $11$ (This will be the numerator of the fraction).

- The denominator does not change.

Then:

$x=1,124\frac{11}{13}\ min$

8 0

2 years ago

Find two positive numbers whose difference is 27 and whose product is 874.​

Find two positive numbers whose difference is 27 and whose product is 874.