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Roman55 [17]
3 years ago
8

Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many

insects that could fly as insects that couldn't fly. How many flying insects did she catch for her project?
Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

200 flying insects she catch for her project .

<u>Step-by-step explanation:</u>

We have , Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. That means insects ratio of non-fly to fly is 1:8 .

There are a total of 225 insects , and for every one non fly insect there are 8 fly insects  , Let x be the number of insects that can't fly so:

x + 8x = 225

⇒ x + 8x = 225

⇒ 9x = 225

⇒ \frac{9}{9}x = \frac{225}{9}

⇒ x = \frac{225}{9}

⇒ x = 25

So , Number of fly insects = 8x = 8(25) = 200 . ∴ 200 flying insects she catch for her project .

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Square lMNO is shown in the diagram below what are the coordinates of the midpoint of a diagonal LN
sashaice [31]

Answer:

The coordinates of the midpoint of LN are (-2\frac{1}{2},4\frac{1}{2})

answer (4)

Step-by-step explanation:

* Lets explain how to find the midpoint of a line

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 and (x2 , y2) are x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}

∵ LMNO is a square

∵ The coordinates of point L are (-6 , 1)

∵ The coordinates of point N are (1 , 8)

- Let the coordinates of point L are (x1 , y1) , the coordinates of point

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∵ x=\frac{-6+1}{2}=\frac{-5}{2}=-2\frac{1}{2}

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* The coordinates of the midpoint of LN are (-2\frac{1}{2},4\frac{1}{2})

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