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MatroZZZ [7]
1 year ago
12

In a neighborhood, 2/5 of the houses are painted yellow. If there are 24 houses that are not painted yellow, how many yellow hou

ses are in the neighborhood?
Mathematics
1 answer:
grigory [225]1 year ago
7 0

Answer:

There are 16 yellow houses in the neighborhood.

Step-by-step explanation:

We have that:

2/5 = 40% of the houses are painted yellow

1 - 2/5 = 3/5 = 60% of the houses are not painted yellow

If there are 24 houses that are not painted yellow, how many yellow houses are in the neighborhood?

The first step is finding the total number of houses in the neighborhood.

We have that 24 are not painted yellow, and this is 60%(0.6 decimal). How much is 100%?

We solve a rule of three

24 houses - 0.6

x houses - 1

0.6x = 24

x = \frac{24}{0.6}

x = 40

There are 40 houses. Of those, 40% are painted yellow.

0.4*40 = 16.

There are 16 yellow houses in the neighborhood.

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The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

We want to find the second solution y2 of the equation using the method of reduction of order.

Let

y2 = uy1

Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

y2 = ue^(4x)

y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)

Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

w'e^(4x) = 0

w' = 0

Integrating this, we have

w = C1

But w = u'

u' = C1

Integrating again, we have

u = C1x

But y2 = ue^(4x)

y2 = C1xe^(4x)

And this is the second solution

5 0
2 years ago
Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are
jok3333 [9.3K]
To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.

If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.

Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
8 0
2 years ago
Read 2 more answers
destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a
Andrew [12]

Answer:

Step-by-step explanation:

5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.

8 0
2 years ago
What is the standard deviation of the market portfolio if the standard deviation of a fully diversified portfolio with a beta of
Nina [5.8K]

Answer:

22.5%

Step-by-step explanation:

let the standard deviation for market portfolio = σₙ

Also let the standard deviation for fully diversified portfolio = σₓ

<u>To calculate fully diversified portfolio</u>

fully diversified portfolio has <em>σₓ = βσₙ</em>

From the given question beta (β) = 1.25

Also standard deviation for market portfolio (σₙ)  = 18% = 0.18

<em>From the equation above,  σₓ = βσₙ </em>= 1.25×0.18 = 0.225

                                                             = 22.5% (converting to percentage)

<em></em>

3 0
1 year ago
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
monitta

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

7 0
1 year ago
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