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Ulleksa [173]
2 years ago
13

A praying mantis is an interesting insect that can rotate its head 180 degrees.Suppose the praying mantis at the right is 10.5 c

entimeters long. What mixed number represents this length?
Mathematics
2 answers:
garri49 [273]2 years ago
4 0

Answer:

10\frac{1}{2} inches.

Step-by-step explanation:

We have been given that a praying mantis at the right is 10.5 centimeters long. We are asked to represent the given length as a mixed number.

We know that a mixed number consists an integer and a fraction. We can represent our given number as:

10.5\text{ cm}=10+0.5\text{ cm}

10.5\text{ cm}=10+0.5\times\frac{10}{10}\text{ cm}

10.5\text{ cm}=10+\frac{5}{10}\text{ cm}

10.5\text{ cm}=10+\frac{1}{2}\text{ cm}

10.5\text{ cm}=10\frac{1}{2}\text{ cm}

Therefore, the mixed number 10\frac{1}{2} represents the given length.

Charra [1.4K]2 years ago
3 0
10.5 = 10 1/2 explanation is 1÷2 =0.5
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Answer:

1.79 %.

Step-by-step explanation:

you have to calculate the probability of a series of events before you can calculate the final probability.

The first event is that the band plays on Friday.

If there are 8 bands, but only 5 play on Friday, then the probability that they will play on Friday is

5/8

Now, the second event that they are the last ones is 1/5, since they are 5 bands.

Therefore the probability that they will play on Saturday and last is

5/8 * 1/5 = 1/8

Now, for the rival band it would be, knowing that on Friday there is already a quota assigned and one band less, the probability that they will play that day is

4/7

as they play before the other group, it would be 1/4, as there is already a quota assigned.

The final probability would then be:

4/7 * 1/4 = 1/7

Now the probability that the band gives the last performance on Friday night and your rival band performs immediately before them, is:

1/8 * 1/7 = 0.0179

That is 1.79 %.

3 0
2 years ago
Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numb
snow_lady [41]
Point R and point T have same x coordinate so their distance is by y axis.
Ty-Ry=2.4-1.3=1.1
So the distance between two points is 1.1
3 0
2 years ago
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A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


4 0
2 years ago
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Uri shared 6/8 of his orange with a friend. uri ste the rest so how much of the orsnge did he eat
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He ate 1 - 6/8 which is 2/8, or 1/4 of an orange.
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In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A tran
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Answer:

  1. 7 is (14x)°

Step-by-step explanation:

In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? The nearest degree measure of angle 7 is (14x)°

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1 year ago
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