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Lynna [10]
2 years ago
15

2 1/2+x=5 1/3 PLEASE HELP

Mathematics
1 answer:
erastova [34]2 years ago
7 0

Answer:

Step-by-step explanation:

2 1/2 + x = 5 1/3                Change the mixed numbers to improper fractions

5/2 + x = 16/3                   The lowest common multiple is 6. Multiply by 6

5*3 + 6x = 16*2

15 + 6x = 32                      Subtract 15 from both sides.

6x = 32 - 15

6x = 17                              Divide by 6

6x/6 = 17/6

x = 2 5/6

Check

5/2 + 17/6 = 16/3

15/6 + 17/6 = 32/6

32/6 = 32/6                    The question checks.

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It takes Sam 3 hours to rake the front lawn while his brother, Dave, can rake the lawn in 5 hours. How long will it take them to
OleMash [197]

Answer:

3 hours + 5hours = 8 hours ÷ 2 =

4 hours is your answer.

Step-by-step explanation:

If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people

equals 4 hours for 2 people on 1 job.

4 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x = ?
Tema [17]

The partial circles in each corner mean that all 3 angles are identical, which means this is an equatorial triangle. In an equatorial triangle all three sides are the same.


We can set two of the equations to equal each other and solve for x:


3x -5 = 2x +20

Add 5 to each side:

3x = 2x +25

Subtract 2x from each side:

x = 25


7 0
3 years ago
Random Questions To Answer For Points.
Fantom [35]

Answer:

The rate is the distance divided by the time.

  60 feet in 10 seconds   =   60 ft / 10 sec   =  6 ft / sec

  42 feet in 6 seconds   =   42 ft / 6 sec   =   7 ft / sec    <--- We have a winner!

Step-by-step explanation:

6 0
3 years ago
Help! Ill mark you as brain! 15 points!
Alina [70]

Answer:

35 in²

Step-by-step explanation:

The irregular shaped can be divided into two squares and one rectangle, so the area will be the additions of the area of the squares and the rectangle

area of square A = L *B = 3 *3 = 9in²

area of square B = L * B = 4*4 = 16in²

area of rectangle C = L * B = 5 *2 = 10in²

th area of the irregular shape = 9 in² + 16 in² + 10 in² = 35 in²

4 0
3 years ago
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
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