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Helen [10]
3 years ago
11

Mike and Dena are painting a fence. if Mike has done 1/3 of the job and Dena has done 2/7 of the job, what fraction of the job i

s left to be finished?​
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

8/21

Step-by-step explanation:

The total job is 1

Mike has done 1/3    and Dena has done 2/7 of the job   We still need to do x of the job to complete it

1/3 + 2/7+ x  = 1

We need to get a common denominator 3*7 = 21

Multiply each side by 21

21(1/3 + 2/7+ x)  = 1*21

21(1/3) + 21*(2/7)+ 21x  = 21

7+ 3*2 +21x =21

7+6+21x = 21

13+21x = 21

Subtract 13 from each side

13-13+21x=21-13

21x = 8

Divide each side by 21

21x/21 = 8/21

x = 8/21

We need to complete 8/21 of the job

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25 lb greater or less than 384 oz
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7 0
3 years ago
What is the Smallest numbers : <br> p = x^2 + 2x +2 / x+1 (x&gt;-1) <br> t= 1/x + 4/1-x (0
OverLord2011 [107]

Answer:

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5 0
2 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
1. What number decreased by 9 is 25? (0.5 pt)
Blizzard [7]

Answer:

34

Step-by-step explanation:

x - 9 = 25

x=25+9

x=34

4 0
3 years ago
Can someone please help?
PIT_PIT [208]

Step-by-step explanation:

are this form 1 question???

4 0
3 years ago
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