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r-ruslan [8.4K]
3 years ago
14

Solve the following proportion problem for x: 14/3x=20/x-5

Mathematics
2 answers:
makvit [3.9K]3 years ago
6 0

Answer:


Step-by-step explanation:

3x minus x

Butoxors [25]3 years ago
5 0

14        20

----  =  -----  cross multiply

3x       x-5


14(x-5) = 3x (20)

14x - 70 = 60x

-14x          -14x

-70 = 36x

/36    /36

-70/36  = x

or

-35/18 = x

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muminat

Answer:

-6

(I don’t understand what you mean by on & 5 but..)

Step-by-step explanation:

The two negatives (the -(- ) cancel each other out and make a postive, so

-18 + 12 = -6

7 0
2 years ago
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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
19. 140% of 60<br> find the percent of the number. Explain your method
KonstantinChe [14]

Answer:

84

Step-by-step explanation:

is                    x           140

----   SO ...    -------  =  --------

of                  60         100

(hit like pls)

60*140=100x

8400=100x

/100     /100

-------------------

   84 = x

8 0
2 years ago
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =
ira [324]

Answer:

F(x-h) = x² + 2xh +h² +2

Step-by-step explanation:

F(x) = x² + 2, x∈R

F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2

3 0
3 years ago
Given f(x)=3x+1, solve for x when f(x)=7
charle [14.2K]

Answer:

X = 22

Step-by-step explanation:

f(x) = 3x + 1

f(7) = 3(7) + 1

= 21 + 1

= 22

3 0
2 years ago
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