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Zina [86]
3 years ago
15

David can proofread15 reports in an hour while Armando can proofread 37reports in an hour. If they have 400 reports to proofread

,how much time will it take between the two of them?
Mathematics
2 answers:
ycow [4]3 years ago
8 0
Together, it would take them 6 hours
enot [183]3 years ago
7 0

Answer:

7\frac{9}{13}\text{ hours}

Step-by-step explanation:

Given,

The number of reports proofread by David in one hour = 15,

While, the number of reports proofread by Armando in one hour = 37,

Total reports proofread by both of them in one hour = 15 + 37 = 52,

Also, the number of reports have to be proofread = 400

Hence, the time taken by both of them when they work together

=\frac{\text{Total reports}}{\text{Number of reports by both of them in one hour}}

=\frac{400}{52}

=7\frac{9}{13}\text{ hours}

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A taxi company charges a $2.00 base fare plus an additional fare based on a per-mile rate and a per-minute rate. Ryan's first ta
Fed [463]

A $2.00 base fare charge, and per-mile, and per-minute rates related as follows; 3•x + 7•y = 6.5 and 7•x + 14•y = 14, give the distance traveled in the third ride as 4.5 miles

<h3>How can the length of the third ride be calculated?</h3>

The base fare = $2.00

Let <em>x </em>represent the per-mile rate, and let <em>y </em>represent the per-minute rate, we have;

The cost of Ryan's first taxi ride = $8.50

Distance traveled in the first ride = 3.0 miles

Time taken during the first ride = 7 minutes

Therefore;

2 + 3•x + 7•y = 8.5

Which gives;

3•x + 7•y = 8.5 - 2 = 6.5

  • 3•x + 7•y = 6.5...(1)

Distance traveled in the second ride = 7.0 miles

Duration of the second ride = 14 minutes

The second ride cost = $16.00

Therefore;

2 + 7•x + 14•y = 16

Which gives;

7•x + 14•y = 16 - 2 = 14

  • 7•x + 14•y = 14...(2)

Solving the above simultaneous equations by multiplying equation (1) by 2 then subtracting the result from equation (2) gives;

(7•x + 14•y) - 2 × (3•x + 7•y) = 14 - 2×6.5 = 1

x = 1

  • The per-mile rate, <em>x </em>= $1

3•x + 7•y = 6.5

7•y = 6.5 - 3•x

7•y = 6.5 - 3×1 = 3.5

y = 3.5/7 = 1/2 = 0.5

  • The per-minute rate, <em>y </em>= $0.5

Duration of the third taxi ride = 10 minutes

Cost of the third ride = $13.50

Therefore;

2 + 1×a + 10×y = $13.50

Where <em>a </em>is the distance traveled during the third ride, we have;

2 + 1×a + 10×0.5 = $13.50

2 + a + 5 = 13.5

a = 13.5 - 2 - 7 = 4.5

  • The third ride was, <em>a </em>= 4.5 miles

Learn more about simultaneous linear equations here:

brainly.com/question/24085666

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3 0
2 years ago
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iris [78.8K]

Answer:

To round you take the last diget and round it either up or down based on the number

if the number is 0-5 you round down

if the number is 6-9 you round up

so in this case you would round down to 6.4.930

Step-by-step explanation:

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Answer:

(4, 3)

Step-by-step explanation:

It is the only one of those points that is in the purple section, which is the solution area

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Answer:

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Multiplication: 5*4=20

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