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Dvinal [7]
2 years ago
5

There are 4 consecutive odd integers that sum to 120.

Mathematics
1 answer:
allsm [11]2 years ago
4 0

Answer:

27, 29, 31, 33

Step-by-step explanation:

Let x represent the smallest odd integer then...

x+2 represents the second

x+4 represents the third

x+6 represents the fourth

We can use this to set up an equation:

x+x+2+x+4+x+6=120

Combine like terms

4x+12=120

Subtract 12 from both sides

4x=108

Divide both sides by 2

x=27

The integers are 27, 29, 31, 33

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A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we
Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

\frac{dP}{dt} = 1.5P

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

\frac{dP}{dt} = kP

Hence:

\frac{dP}{dt} = 1.5P

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
What is the volume of a hemisphere with a radius of 1.6 and height of 6.2?
qaws [65]
You can find the area of a hemisphere by using the following equation

V = (2/3) (pi)*r^3

so V = (2/3) (pi)*1.6^3

Which comes out as 8.5786423394 or 8.6


6 0
3 years ago
Please actually help me. ill give brainliest if you explain your answer.
meriva

Answer:

subtract 11 from both sides

Step-by-step explanation:

-3x+11=44

-3x=33

x=-11

4 0
3 years ago
Read 2 more answers
I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 2
lesya692 [45]

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

hBy using equation (i), we have

0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = \frac{V-v}{v}\times 100

=\frac{1.25v-v}{v}\times 100

=25%

Hence, the percentage increase in the average speed is 25%.

8 0
2 years ago
Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5
mamaluj [8]

Answer:

8.66 meters

Step-by-step explanation:

Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.

Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.

We have to:

c ^ 2 = a ^ 2 + b ^ 2

c = 10

a = 5

replacing

b ^ 2 = 10 ^ 2 - 5 ^ 2

b ^ 2 = 75

b = 8.66

that is to say that the height at which the ladder reaches the wall is 8.66 meters

8 0
3 years ago
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