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MatroZZZ [7]
2 years 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]2 years 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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Carly and James share some money in the ratio 5 : 3
GalinKa [24]

Answer:

£52

Step-by-step explanation:

let Carly shared is equal to 5x and it is equal to £70

then x is equal to 14

so James shared = 3x i.e. £52

7 0
2 years ago
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A square with an area A2 of is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?
makvit [3.9K]
Given:
a square with an area of a² is enlarged to a square with an area of 25a².

The side length of the smaller square was changed when The side length was multiplied by 5.

Area = (1a)² = a²
Area = 1a * 5 = 5a ⇒ (5a)² = 25a²
3 0
2 years ago
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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
2 years ago
Draw a bar model that shows how the number of hours in March compares with the number of hours in February of this year.
gogolik [260]
Okay so first we need to find how many days are in March and February. March has 31 days and because this year was a leap year February has 29 days.

The next step is to convert days to hours.
March: 31x24=744
February: 29x24=696

Now its time to graph

8 0
2 years ago
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A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi
Grace [21]
I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture. 

The hypotenuse is 9 cm. the angle is found by: 

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60 

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm. 

cos 60 = x/9 

9 cos 60 =x 
<span>
x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
3 0
2 years ago
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