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Pani-rosa [81]
3 years ago
7

Working alone, kali can pick forty bushels of apples in 15 hours,l. One day her friend Natalie helped her and it only took 6 hou

rs. How long would it take Natalie to do it alone.​
(please help I'm struggling)
Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

The time it will take Natalie to pick the forty bushels alone is 10 hours

Step-by-step explanation:

The time it takes Kali to pick forty bushels of apples alone = 15 hours

The time it takes Kali and Natalie to pick forty bushels = 6 hours

The rate at which Kali picks bushels = 40/15 bushels per hour  = 8/3 bushels per hour  

Let x represents the rate at which Natalie picks bushels, we have;

8/3 × 6 + x × 6 = 40

x × 6 = 40 - 8/3 × 6 = 24

x = 24/6 = 4

Therefore;

The rate at which Natalie picks the bushels of apples = 4 bushels/hour

The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
Tommy finished 3/5 of the race in 6 hour. how long was the entire race?
lesya692 [45]

Hello there,

Well to find the total time you would have to set up a proportion...

6 / 3/5 = x / 1

Now you crosss multiply and divide...

6 * 1 = 6

6 / 3/5 =30/3 = 10


Answer: 10 hours


Hope I helped!!

-Char

7 0
3 years ago
PLZ HELP ME PLZ I NEED THE HELP
Dmitrij [34]

Answer:

<M = <S

Step-by-step explanation:

If ΔMNO ≅ Δ SQR then

<M = <S


5 0
3 years ago
Use the Pythagorean Theorem to find the distance from Emma's house to the library.
AlladinOne [14]

Answer:square root 130

Step-by-step explanation:

4 0
4 years ago
A kitchen drawer has a Volume 1,125 cubic inches. The drawer is 15 inches long and 5 inches deep. What is the width of the drawe
Temka [501]

Answer:

The width of the drawer is 15\ in

Step-by-step explanation:

we know that

The volume of the drawer is equal to

V=LWH

we have

L=15\ in

H=5\ in -----> the deep of the drawer

V=1,125\ in^{3}

substitute the given values in the formula and solve for W

1,125=(15)(W)(5)

1,125=(75)(W)

W=1,125/(75)

W=15\ in

7 0
4 years ago
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