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Zina [86]
2 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]2 years ago
8 0
Together, it would take them 6 hours
enot [183]2 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 printer prints an average of 200 1/2 pages per hour approximately how many pages did it print in an 8 hour period
Vika [28.1K]

Answer:

1,604 pages

Step-by-step explanation:

Let’s make a proportion

The printer prints 200 1/2, or 200.5 pages per hour, and prints x pages per 8 hours

200.5/1=x/8

Cross multiply

1*x=200.5*8

x= 1604

So, the printer prints 1,604 pages in & hours

7 0
2 years ago
At hockey practice, Coach Taylor always sets aside 20% of the total time for players to
olasank [31]

Answer:

12 minutes

Step-by-step explanation:

Take 60 minutes (The total time of pratice) and multiply it by .2 (20% in decimal form) doing this should get you 12

3 0
2 years ago
Read 2 more answers
Consider the graph of the line y = x – 4 and the point (−4, 2). The slope of a line parallel to the given line is . A point on t
Harman [31]
The given line is y = x - 4, and the given point is (-4, 2).

The slope of the given line is 1, and its y-intercept is (0, -4).

Part a.
The slope of a line parallel to the given line is 1.

Part b.
Let the equation of a line parallel to the given line be
y = x + c
Let (x,y) be a point on a parallel line which passes through (-4,2).
Then, in point-slope form,
(y - 2)/(x + 4) = 1
That is,
y - 2 = x + 4
y = x + 6

If x = 0, then
y - 2 = 0 + 4
y - 2 = 4
y = 6
Therefore the point (0, 6)  is one of many points that lies on this line.

Part c.
The slope of a line perpendicular to the given line is -1.
The product of the slopes of perpendicular lines is -1.

Let (x,y) be a point on the perpendicular line which passes through (-4,2).
In point-slope form, its equation is
(y - 2)/(x + 4) = -1
That is,
y - 2 = -x - 4
y = -x - 2
Wneh x = 0, then y = -2.
A point on the perpendicular line that passes through (-4,2) is (0, -2).

Answers:
1. The slope is 1.
2. The point (0, 6) falls on the parallel line passing through (-4, 2).
3. The slope of a perpendicular line is  -1.
4. The point (0, -2) falls on the perpendicular line passing through (-4, 2).

8 0
2 years ago
Read 2 more answers
in the diagram below, <AFB = <EFD. if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)°, find m<AFE​
NeX [460]

Answer:

m<AFE​ =  128°.

Step-by-step explanation:

<u>Step 1: Find the value of x</u>

<em>Angle EFD + Angle DFC = Angle EFC</em>

5x + 6 + 19x - 15 = 17x + 19

24x - 9 = 17x + 19

7x = 28

x = 4

<u>Step 2: Find all angles</u>

<em>Angle AFB=Angle EFD= 5x + 6</em>

5(4) + 6 = 26°

Angle DFC = 19x - 15

19(4) - 15 = 61°

<u>Step 3: Find angle AFE</u>

<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>

<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>

26 + BFC + 26 = 180°

BFC = 180 - 52

BFC = 128°

<em>Therefore, m<AFE​ is equal to 128°.</em>

!!

3 0
2 years ago
Bria and Matt have a total of 400 stamps. Matt has three times as many stamps as Bria. Which system of equations can be used to
prohojiy [21]
M= 400÷ 4b
b= 100 stamps
5 0
2 years ago
Read 2 more answers
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