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ahrayia [7]
3 years ago
11

Professor Lam is grading papers in the teachers' lounge. He has already finished grading 6 assignments, and is grading 4 more as

signments per hour. His teaching assistant just came in to help him. He can grade at a rate of 5 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How long will that take? How many assignments will they each have graded?
Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.

You might be interested in
A steam engine for pulling trains has wheels of diameter 1.5 metres.
Dima020 [189]

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

length = 2*\pi*radius

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

turns = \frac{1000}{4.7124} = 212.21

The wheel completed a total of 212 turns.

3 0
3 years ago
(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1)
lesya [120]

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

y=7-4x

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

y=mx+b                ...(i)

We have,

y=7-4x                   ...(ii)

On comparing (i) and (ii), we get

m=-4

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-2-1}{2-(-3)}

m=\dfrac{-3}{2+3}

m=\dfrac{-3}{5}

Therefore, the gradient of the line L is \dfrac{-3}{5}.

6 0
2 years ago
SOMEONE PLS HELP ME FIGURE THIS OUT
ss7ja [257]

Answer:

Step-by-step explanation:

Both parts of the ratio can be divided by 9

81/9 = 9

72/9 = 8

The ratio is 9:8

54/48 is also 9:8

54 / 6 = 9

48/6 = 8

The ratio is 9:8

63:56 is also an answer

63 / 7 = 9

56/7 = 8

The ratio  is 9:8

The others don't work. You can just look at them to see why.

5 0
3 years ago
Hurry need help now 25 points!!!!!!
RSB [31]
Change in temperature = final - initial
= 22 - (-13)
= 22 + 13
= 35

In short, Your Answer would be 35 

Hope this helps!
4 0
3 years ago
Read 2 more answers
-6.125 compare to -6 1/5
svp [43]
-6.125 is bigger because -6 1/5 is equal to -6.2 witch is smaller
3 0
3 years ago
Read 2 more answers
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