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lesya [120]
3 years ago
11

One month ruby wokred 6 more hours than isaac and svetlana worked 4 times as many as ruby they together worked 126 hours how man

y hours did each person work
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0
R + R - 6 + 4R = 126
6R - 6 = 126
6R = 126 + 6
6R = 132
R = 132/6
R = 22 (hours Ruby worked)
I = R - 6
I = 22 - 6
I = 16 (hours Isaac worked)
S = 4R
S = 4(22)
S = 88 (hours Svetlana worked)

Finally, let's check our three answers to see if their sum is 126 (the given total of hours worked):
22 + 16 + 88 = 38 + 88 = 126


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4 years ago
Does there exist a pair of consecutive even integers whose reciprocals sum to 3/4? Explain how you know.
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Answer:

2, 4

Step-by-step explanation:

Let there are two unknown consecutive pairs of even integers 2n and 2n+2.

If the sum of the reciprocals of those two integers  is 3/4, then we can write,

1/2n +1/(2n+2) =3/4 ...... (1)

Solving this above equation we can check whether the integers exist or not.

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3 years ago
Two best friends, Pluto and Goofy, have very different hobbies. Pluto likes to skydive from a height of 24,568 feet. Goofy likes
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Answer:

They are 24, 692 feet aprart

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Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.

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Pluto's location to the sea level = 24,568 feet

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