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Ulleksa [173]
3 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]3 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]3 years ago
3 0
10.5 = 10 1/2 explanation is 1÷2 =0.5
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Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
I'm not sure to use 6 or 10 for a side length​
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Answer:

10

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6 is the width not the length

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Can somebody help me please​
GuDViN [60]

Answer:

x: (3,0)

y: (0,-10)

Step-by-step explanation:

x intercept is where the line crosses the x axis

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