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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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4x - 5y = 40

4x = 40 + 5y
x = 10 + 5/4y 

The x intercept is 10. 




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2 years ago
during the summer winnie delivers flowers and bob babysits for neighbors to show their earnings winnie makes a table which state
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2 years ago
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Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5
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Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  3-2|.5x+1.5|=2 then

-2|.5x+1.5|=-1  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

|.5x+1.5|=.5

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

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2 years ago
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Cam wants to find 509-106. Which steps can he use to find the difference
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Answer:403

Step-by-step explanation:

5 0 9

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4 0 3

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5 0
2 years ago
Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle
Nina [5.8K]
The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as x.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
cos(59)= \frac{19}{h}
h= \frac{19}{cos(59)}
h=36.9
Now we can use the law of sines to find the distance x between Paul and Jose:
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x= \frac{36.9sin(16)}{sin(43)}
x=14.9

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
19m+14.9=33.9m

We can conclude that Jose is 33.9m from the base of the tree.

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2 years ago
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