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VMariaS [17]
3 years ago
13

Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds

Mathematics
2 answers:
topjm [15]3 years ago
7 0
1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 =  8 / 3

2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
   From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
  32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

 The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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mr_godi [17]3 years ago
6 0
(6 2/5) / (2 2/3) =
(32/5) / (8/3) =
32/5 * 3/8 =
96/40 = 2.4 revolutions per second
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Answer:

96/6=16

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Therefore Al makes 128 dollars for 8 hours

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At a graduation ceremony, some students earned bachelors in science degrees, some earned bachelors in arts degrees, and some stu
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Answer:80students

Step-by-step explanation:

Using set notation concept,

n(U) be the total number of student = 200

n(AnS') be those that earned Bachelor in Art only= 120

n(A'nS) be those that earned Bachelor in Science only= 40

n(AnS) be students that earned both degrees.

Using the formulae below to calculate n(AnS) first;

n(AuS)=n(A'nS)+ n(AnS)+n(AnS')

200=40+n(AnS)+120

200=160+n(AnS)

n(AnS)=40

This shows that 40students earned bachelor in both degrees

Those that earned Bachelor in science degree will then be n(A'nS)+n(AnS) i.e 40+40 =80students.

NB: A' means complement of A(A not included)

'n' denote intersection and 'u' denote union.

7 0
4 years ago
To drive from New York City, NY, to Los Angeles, CA, you must drive about 2,779 miles. If you drive 60 miles per hour, about how
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You would spend about 46.3 hours driving

Step-by-step explanation:

To drive from New York City, to Los Angeles,

  • You must drive about 2,779 miles
  • You drive 60 miles per hour

We need to find about how many hours you would spend driving

∵ The distance you must drive = 2,779 miles

∵ You drive 60 miles per hour

∵ Distance = speed × time

- Substitute the distance and speed in the rule above

∴ 2,779 = 60 × time

- Divide the two sides by 60

∴ 46.32 = time

∴ The time is about 46.3 hours

You would spend about 46.3 hours driving

Learn more:

You can learn more about word problems in brainly.com/question/9533500

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3 years ago
PLEASE HELP Which ordered pair is a solution of the line y – 2x = 6? (2, 2) (0, -3) (-3, 0) (1, -3)
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Answer:

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I just plugged in each ordered pair till i found the correct one. But you could also graph the line y= 2x + 6 and see which coordinate it goes through

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Answer:

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and the ones for 8 are:

we already know that 8*12 = 99, so we try with 13:

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