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2 years ago

If an English teacher marks 220 essays in 28 hours 36 minutes, how long on average does it take to mark one essay?

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

First, let us break down 28 hours 36 minutes into minutes.

Number of minutes taken to grade 220 essays = (28 x 60) + 36 = 1680 + 36 = 1716 minutes

Now, we can find the average time taken to grade an essay by dividing the time taken to grade 220 essays by 220.

Average amount of time taken to grade an essay = $\frac{1716}{220}$ = 7.8 minutes, or 7 minutes and 48 seconds

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Solve the inequality: PLS SHOW YOUR WORK PLEASE -45 < 5(p-2)

andrezito [222]

Step-by-step explanation:

Given

-45 < 5(p-2)

Dividing both sides by 5

9 < p - 2

Adding two on both sides

9 + 2 < p - 2 + 2

11 < p

p > 11

Hope it will help :)❤

3 0

3 years ago

Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

Temka [501]

Lan is 146 centimeters tall now.

Explanation

Let, Lan's current height is $h$ centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = $(h+6)$ centimeters and Jim's current height = $(h-10)$ centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = $h+(2*5)=(h+10)$ centimeters,

Lisa's height = $(h+6)+(2*5)= (h+16)$ centimeters and

Jim's height = $(h-10)+(2*5)= h$ centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

$(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146$

So, the current height of Lan is 146 centimeters.

7 0

2 years ago

two friends are renting an apartment. they pay the landlord the first and last month's rent. the landlord also requires them to

GarryVolchara [31]

Use the given information to write an equation, then solve it.

$1600 = (1 + 1 + 1/2)×(monthly rent) . . . . relationship given in the problem statement

$1600/2.5 = monthly rent = $640 . . . . divide by the coefficient of monthly rent

3 0

3 years ago

In the equation Y+2/y+1 + 2y^2-y+3/y^2-1 = y-2/y-1 the value of a is: a)2 b)1 c)4

Valentin [98]

Answer:

Step-by-step explanation:

hope that helped

5 0

2 years ago

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr

almond37 [142]

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )

3 0

3 years ago