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grandymaker [24]
3 years ago
14

Write a function for the line with a slope -1/4 that passes through the point (4,5)

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer: The point slope solution is y+4 = -(1/2)(x-4) which is y + 4 = -(.5)x + 2 or y = -(.5)x -2.

Step-by-step explanation:

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A triangular bandana has an area of 74 square inches. The height of the triangle is 9 1 4 inches. Enter and solve an equation to
Lilit [14]
Hi there!

The formula for the area of a triangle is A = 1/2(b x h). Using the information provided, all we have to do is plug in what we know and solve!

WORK:
74 = 1/2(b x 9.14)
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Hope this helps!! :)
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What is the answer to this inequality 84 is no less than 7 times a number k
lyudmila [28]
84 is no less than 7 times K, 84 divided by 7= 12,
  
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3 years ago
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6 0
3 years ago
Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
3 years ago
Read 2 more answers
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