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yan [13]
3 years ago
5

The denominator of a fraction exceeds the numerator by 7. If 3 is added to the numerator and 1 is subtracted from the denominato

r, the resulting fraction is equal to 4/5 . Find the original fraction.
Mathematics
1 answer:
Elodia [21]3 years ago
3 0
9/16 is the original fraction. 9+3 = 12 and 16-1 =15. 12/15 = 4/5
You might be interested in
T
Marianna [84]

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
  • Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
  • => 24 + 12 + 11 + 36 - 8
  • => 24 + 12 + 3 + 36
  • => 75 units

The perimeter of the triangle ABC is 75 units.

7 0
2 years ago
7/10 write the number as hundredths in a fraction form and decimal form
klemol [59]

7/10 as hundredths decimal: .07

7/10 as fraction: 7/100

7 0
3 years ago
Round to the nearest tenth 3.2649
katovenus [111]

Answer:

3.3

Step-by-step explanation:

5 0
2 years ago
There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati
Rom4ik [11]

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0
2 years ago
Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,
yuradex [85]

When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.

We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped

15P/50

8B/50

2G/50

18C/50

7S/50 for a total of 50 marbles

Now we use the chart to decide our awnsers  

A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.

B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely

C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these

D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of  these and gives us an even to likely chance of getting one of these.

E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.

4 0
2 years ago
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