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german
2 years ago
13

What is the mid point in the photo?

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Step-by-step explanation:

midpoint = ( \frac{ \frac{1}{3}  -  \frac{7}{3} }{2} , \frac{ \frac{5}{12} +  \frac{7}{12}  }{2} )

= ( \frac{ \frac{ - 6}{3} }{2} , \frac{ \frac{12}{12} }{2} )

= ( \frac{ - 2}{2} ,  \frac{1}{2} )

= ( - 1,0.5)

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Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish
Brut [27]

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

  • Ben can finish the job in 5 hours
  • Tim can finish the job in 6 hours
  • Sam can finish the job in x hours
  • The three of them can finish the job in 2 hours if they work together

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = \frac{1}{5}

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = \frac{1}{6}

∵ Sam can finish the job in x hours

∴ The rate of Sam = \frac{1}{x}

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ \frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

   numerators of each fraction

∴ \frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}

Add the numerators and put the sum over 30 x

∵ \frac{11x+30}{30x}=\frac{1}{2}

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

- Subtract 22 x from both sides

∴ 60 = 8 x

- Divide both sides by 8

∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

Learn more:

You can learn more about the word problems in brainly.com/question/10712420

#LearnwithBrainly

5 0
3 years ago
What is the answer to 10lb 6oz- 7lb 11oz
sweet-ann [11.9K]
1 lb = 16 oz
Translating the unit into oz gives us
166oz - 123oz = 43oz or 2lb 11oz

3 0
2 years ago
Solve for Xin the equation x^2-12+36=90
Hunter-Best [27]

X= + or- square root 66 i solved using the pq formula but u can also use the quadratic formula as well and the square root formula but I'ma show u how to solve it with pq it's on this image hope it helps and mark me brainliest

7 0
3 years ago
Read 2 more answers
Please answer if you know the solution. Thx
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Answer:

the first blank is 10

and the second blank is 5

Step-by-step explanation:

5 0
2 years ago
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I would say your friends assumption is wrong. Why?


Because, if you payed $2.40 for 3/4 pounds of grapes, your friend should pay more for an entire pound, not less.


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8 0
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