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algol13
3 years ago
13

Michael was asked to pick a number between 0 and 50 for a contest at school. The number he chose is less than 50 and is a multip

le of 5 and 8. Select Michael's number. A) 24 B) 30 C) 32 D) 40
Mathematics
2 answers:
Svetach [21]3 years ago
6 0

Answer:

D) 40

Step-by-step explanation:

First, identify what you know:

1) Michael is directed to pick a number between 1 and 50

2) Michael picks a number that is less than 50

3) The number chosen, is a multiple of 5 and 8

A multiple is a number that can be divided by another number without a remainder. What number can be divided by 5 and 8 without having a remainder?

40/5 = 8

40/8 = 5

Michael chose 40!!

lukranit [14]3 years ago
4 0

Answer:

The answer is D 40 because 5*8 is 40 and 8*5=40. 40 is also less than 50

Step-by-step explanation:

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

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we know that

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we have

L=(10-2x)\ cm

W=(10-2x)\ cm

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substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
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1,-1

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