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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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0.875

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write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expe
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If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

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Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

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Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

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2 years ago
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

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so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

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Substitute equation B and equation D in the inequality A

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The solution for x is the interval---------->[0,12]

see the attached figure

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The width of the base must be 9 meters less than the height of the prism

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the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
2 years ago
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