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Mariana [72]
3 years ago
7

What is the reciprocal of the sum of a half, a third, and a fourth?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

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Janet an experienced shipping clerk can fill a certain order in 5 hours . Tom a new clerk needs 8 hours to do the same job. work
aksik [14]

Janet can fill a certain order in 5 hours, therefore she performs 1/5 of the order within 1 hour.

Tom needs 8 hours to do the same job, therefore he performs 1/8 of the order within 1 hour.

Working together, they make 1/5 + 1/8 orders within 1 hour.

Let <em>t</em> mean the number of hours they need. Then we have equation:

\left(\dfrac{1}{5}+\dfrac{1}{8}\right)t=1\\\\_{\text{use}\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}}\\\\\dfrac{(1)(8)+(1)(5)}{(5)(8)}t=1\\\\\dfrac{8+5}{40}t=1\\\\\dfrac{13}{40}t=1\ \ \ \ |\text{multiply both sides by 40}\\\\13t=40\ \ \ \ |\text{divide both sides by 13}\\\\t=\dfrac{40}{13}\\\\t=3\dfrac{1}{13}\\\\Answer:\ 3\dfrac{1}{13}h=3h\ \dfrac{60}{13}min\approx3h\ 5min

7 0
3 years ago
What is the product ?
Stolb23 [73]
3a/a-2
Soory for the handwriting though, did it in a real hurry

3 0
3 years ago
What is 2 1/3 in simplest form ?
Gnesinka [82]

A mixed number is an addition of its whole and fractional parts.

2

+

1

3

Add  

2

and  

1

3

.

Tap for more steps...

7

3

The result can be shown in multiple forms.

Exact Form:

7

3

Decimal Form:

2.

¯

3

Mixed Number Form:

2

1

3

3 0
3 years ago
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

We have given that:

There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp

Part A:

According to the above mentioned statement the function for representing the number of alligators and crocodiles in the swap throughout the year is:

Alligators = y=20(1.25)^x (x represents years)

crocodiles: y=10x+25

Part B:

Number of alligators after 4 years in the swap = y=20(1.25)^x

Number of alligators after 4 years in the swap = y=20(1.25)^4

Number of alligators after 4 years in the swap=48.82

This shows that about 48 to 49 alligators will be there in the swap after 4 year

Number of crocodiles after 4 years in the swap = y= 10(4)+25 = 65

Part C:

We will use the graph method to solve this part:

After approximately 7 years, the number of animals of each type will be the same, 95.

7 0
3 years ago
Help me<br> Is not an exam is a activity
Talja [164]

Answer:

B. y= -2x +2

Step-by-step explanation:

the slope is negative 2 and the point where the line crosses the y-int is 2

7 0
3 years ago
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