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hram777 [196]
3 years ago
11

The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?​

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

The number is:

  • n = 40

Step-by-step explanation:

Let 'n' be the number

  • Increasing a number by 20% = (n + n×20/100)
  • Decreasing a number by 14% = (n - n×15/100)

As the difference between increasing a number by 20% and decreasing the same number by15% is 14.

Thus, the expression becomes

\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14

n+\frac{n}{5}-n+\frac{3n}{20}=14

\frac{7n}{20}=14

Multiply both sides by 20

\frac{7n}{20}\cdot \:20=14\cdot \:20

7n=280

Divide both sides by 7

\frac{7n}{7}=\frac{280}{7}

n=40

Thus the number is:

  • n = 40
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Bill has some counter in a bag.
andrew11 [14]

9514 1404 393

Answer:

  4

Step-by-step explanation:

The 10 non-yellow counters in the bag represent 5/7 of the total number of counters, c.

  10 = (5/7)c

  10(7/5) = c = 14

There are 14 counters in the bag, of which 14-10 = 4 are yellow.

_____

<em>Alternate solution</em>

Let y represent the number of yellow counters in the bag. The probability of drawing a yellow counter is the number of yellow counters divided by the total number of counters:

  y/(y +3 +7) = 2/7

Multiply both sides of this equation by 7(y+10) to get ...

  7y = 2(y +10)

  7y = 2y +20 . . . . eliminate parentheses

  5y = 20 . . . . . . . . subtract 2y

  y = 20/5 = 4 . . . . divide by the coefficient of y

There are 4 yellow counters in the bag before any are taken.

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<em>Another alternate solution</em>

If the probability of yellow is 2/7, the ratio of yellow (y) to non-yellow is ...

  yellow : non-yellow = 2 : (7-2) = 2 : 5 = y : (3+7) = y : 10 = 4 : 10

  ⇒ y = 4

There are 4 yellow counters in the bag.

8 0
3 years ago
I need the answer for 6
Gnoma [55]
ME AGAIN!!! You should just let me do your homework from now on lol.


So, you have 4 red, 3 green and 1 yellow. Add all of those numbers together, you should get 8. How many green did you start with? You started with 3. So your answer is either 3:8, 3/8, or 3 to 8.


P.S: I can see the page fine. It isn't blurry. Hope that helped you!
5 0
3 years ago
The volume of a gold bar is 100cm cubed
Dahasolnce [82]

Answer:

1930g

Step-by-step explanation:

Mass = density × volume

Mass = 19.3×100 = 1930g

6 0
3 years ago
Leslie ran 4 1/2 laps around the park in 3/4 hour. Kayla ran 3 1/2 laps around the same park in the same amount of time. How man
Arte-miy333 [17]
Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
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divide both sides by 3/4
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Leslie can do C
1_ 1/3 more laps in an hour than Kayla
5 0
3 years ago
Solve for n -8 = 6+n
bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

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This is never true so there is no solution

8 0
3 years ago
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