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Lelechka [254]
2 years ago
11

The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number. find the number.

Mathematics
1 answer:
ivolga24 [154]2 years ago
6 0
5 less than the number is x - 5
The reciprocal is 1/(x - 5)

This number is 1/(x - 5) = 4(1/(2x)) Cross multiply.
2x = 4*(x - 5) Remove the brackets.
2x = 4x - 20 Subtract 2x from both sides
0 = 4x - 2x - 20
0 = 2x - 20 Add 20 to both sides
20 = 2x Divide by 2
20/2 = x
10 = x
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First term is 3, common difference is 4 what is the 5th term
patriot [66]

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

5 0
3 years ago
NEED HELP ASAP ILL MAKE YOU BRAINLIEST
Hunter-Best [27]

y = 12000x + 35000


When Mr. Nicolas began recording, it means, at 0 hour, how many tortillas was produced?


Subs x by 0.


y = 12000.0 + 35000

y = 0 + 35000

y = 35000


When Mr. Nicolas began recording the data, 35,000 tortillas had already been produced


The total number of tortillas produced 2 hours after the he began, it means, when x = 2


y = 12000 . 2 + 35000

y = 24000 + 35000

y = 59000


The total number of tortillas produced 2 hours after he began recording the data was 59,000


The total number of tortillas produced _ hours after he began recording the data was 85,000


Now we have y but not x.


y = 12,000x + 35,000

85,000 = 12,000x + 35,000

85,000 - 35,000 = 12,000x

50,000 = 12,000x

x = 50/12

x = 25/6

x = 4,1666...

Rounding

x = 4,167

4 0
3 years ago
(3x + 2) + (6x + 6). What is the expression please I need this quick!!
yanalaym [24]

Answer:it is 17x  / <17x                                                                              

5 0
2 years ago
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
neonofarm [45]

Answer:

Step-by-step explanation:

B. You build credit by using credit cards so b is the answer.

5 0
2 years ago
The University of Montana ski team has nine entrants in a men's downhill ski event. The coach would like the first, second, and
blondinia [14]

Answer:

504 ways

Step-by-step explanation:

The first position can go in 9 ways

The second position can go to the team in 8 ways

The third position can go to the team in 7 ways

Therefore, the first,second and third position can go to the team in:

9 X 8 X 7=504 ways

or Simply, we can use <u>Permutation</u>.

^9P_3=504 ways

3 0
3 years ago
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