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2 years ago

Two numbers have a difference of 28. If the sum of the squares of the numbers is

Mathematics

1 answer:

Lynna [10]2 years ago

7 0

Answer:

The two numbers are 182 and 210. I hope this will help you.

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Solve the system of equations by elimination. Show your work. i’ll give brainliest

My name is Ann [436]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

$4x+6y=44\\-4x-2y=-28$
_____________

$4y=16$

$y=16/4 =4$

Replace "y" in the first equation:

$4x+6(4)=44$

$4x+24=44$

$4x=44-24$

$x=20/4=5$

Hope this helps

5 0

2 years ago

Read 2 more answers

33 1/3% of 360 please help I don’t understand

Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0

2 years ago

Read 2 more answers

Solve the equation for all values of x by completing the square. x2 + 8.0 + 15 = 0

Aleonysh [2.5K]

Answer:

x= -3

x= -5

Step-by-step explanation:

x^2 + 8x + 15 = 0

find which 2 numbers when multiplied equal 15 and when added equal 8

they are 3 and 5

(x+3)(x+5)

x+3 =0

x+5=0

x= -3

x= -5

6 0

2 years ago

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s

ad-work [718]

The temperature of soup after 25 minutes is $135.2^{\circ}\ F$

Solution:

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be $T_0$

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

$T = T_0-2.3t$

To find the temperature of soup after 25 minutes, substitute t = 25

$T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2$

Thus the temperature of soup after 25 minutes is $135.2^{\circ}\ F$

5 0

3 years ago