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Ainat [17]
3 years ago
10

Solution of the equation 3x/5+1=4x/15+7

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

x = 18

Step-by-step explanation:

Given

\frac{3x}{5} + 1 = \frac{4x}{15} + 7 ( subtract 1 from both sides )

\frac{3x}{5} = \frac{4x}{15} + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

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On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail
frosja888 [35]

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

<em>Travel time = distance ÷ speed </em>

<u>Second half of the trip</u> :

  • <em>Speed = s mph</em>

  • <em>Distance covered = 15 miles</em>

<u>Time taken for second half of trip</u> :

Time taken = 15 / s

<u>First half of the trip</u> :

  • <em>Speed = s + 2 mph </em>

<u>Time taken for first half of trip :</u>

Time taken = 15 / (s+2)

<u>Total time taken :</u>

<em>First half + second half</em>

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

<em>Substitute s = 12 into the expression</em> :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

Learn more : brainly.com/question/18796573

3 0
3 years ago
The diameter of an average cell in a human body is 1 x 10^-5 mm. If the diameter of a pin head is 2 x 10^-2, how many body cells
Tatiana [17]

Answer:

2000

Step-by-step explanation:

diameter of an average cell= 1 x 10^-5 mm

diameter of a pin head= 2 x 10^-2

number of body cells that would fit on the pin head=2 x 10^-2 ÷ 1 x 10^-5

                                                                                     =2000 body cells

7 0
3 years ago
Find a formula for the nth term of the arithmetic sequence
vagabundo [1.1K]

Answer:

11+2n

Step-by-step explanation:

Arithmetic sequence=a+(n-1)d

a=first number

n=nth term

d=difference

a=9

n=?

d=-2

So let's solve

9+(n-1)(-2)

9+(2n+2)

9+2n+2

Collect like terms

9+2+2n

11+2n

So the nth term is 11+2n

7 0
4 years ago
vik wrote the equation 470 h equals 3,008 where h is the number of hours it took a plane flying at a constant speed of 470 miles
Hunter-Best [27]
As with any linear equation of this sort, divide by the coefficient of the variable.
.. 470 h = 3008
.. (470 h)/470 = 3008/470
.. h = 3008/470 = 6.4
4 0
3 years ago
91% of the students lost the bingo game.What percent of the students won the game?
Aleksandr [31]
9 percent won the game
5 0
3 years ago
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