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GuDViN [60]
2 years ago
8

A firm advertises for workers to address envelopes. Priscilla says she will work 100 hours. Herb will work for 80 hours. If each

can address 10,000 envelopes in the time they work, how long would it take them to address 10,000 envelopes if they work together?
Mathematics
1 answer:
charle [14.2K]2 years ago
4 0
Combined work problems
job/time + job/time = job/ total time

(1/80) + (1/100) = 1/T
(10/800) + (8/800) = 1/T
18/800 = 1/T
800/18 = T
44.44 hrs = T

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Helen is putting a fence around her flower garden, which is in the shape of half of a circle and a rectangle. if the semicircle
Nataly_w [17]
See the picture in the attached figure

we know that

[perimeter of the f<span>lower garden]=[7+10+10]+[pi*7/2]----> 27+10.99---> 37.99 ft

the answer is
37.99 ft </span>

5 0
2 years ago
Read 2 more answers
renu purchased an air conditioner for rs 40500 including 8% VAT. what was the price before including VAT?
jekas [21]

Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\therefore \: x + 8 \% \: of \: x = 40500 \\  \therefore \: x +0.08x = 40500 \\  \therefore \: 1.08x  = 40500 \\  \therefore \: x =  \frac{40500}{1.08}  \\ \huge  \red{ \boxed{ \therefore \: x = Rs.  \: 37,500}}

Hence the price before including VAT of air conditioner was ₹ 37,500.

7 0
2 years ago
Find the inverse of the function. y = x2 + 4x + 4
alex41 [277]
<span>The given function is ⇒⇒⇒  y = x² + 4x + 4
</span>
To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)²         ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2         ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:
f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function


7 0
2 years ago
Read 2 more answers
A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first
larisa [96]

Answer:

D. 0.002

Step-by-step explanation:

Given;

total number of sample, N = 500 elements

50 elements are to be drawn from this sample.

The probability of the first selection, out of the 50 elements to be drawn will be = 1 / total number of sample

The probability of the first selection = 1 / 500

The probability of the first selection = 0.002

Therefore, on the first selection, the probability of an element being selected is 0.002

The correct option is "D. 0.002"

4 0
2 years ago
he table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 o
Pepsi [2]
16 or more books sold in a day will include two intervals from the given table:

a) 16 - 20 books sold.
Probability = 0.201

b) 21 - 25 books sold.
Probability = ?

Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019

In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.

So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220
4 0
2 years ago
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