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podryga [215]
3 years ago
5

Emilio's family volunteers at the local soup kitchen every 30 days. Emilio has swimming lessons every 9 days. He has both activi

ties this Saturday. When will he have both activities again on the same day?
Mathematics
2 answers:
Leokris [45]3 years ago
6 0

Answer:

Emilio will have both activities again 90 days from Saturday.

Step-by-step explanation:

Emilio's family volunteers at the local soup kitchen every 30 days.

Emilio has swimming lessons every 9 days.

30 = 2 x 3 x 5

9 = 3 x 3

LCM = 2 x 3 x 3 x 5 = 90

So, Emilio will have both activities again 90 days from Saturday.

strojnjashka [21]3 years ago
5 0
He will have both activities again on a Thursday
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Which of the following represents the factorization of the trinomial below?<br> -3x2 – 18x2 – 24x
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-3x(7x+8)

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3 years ago
The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

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

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
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