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2 years ago

The sum of an unknown and eight is twenty. What is the unknown?

Mathematics

2 answers:

gregori [183]2 years ago

7 0

Answer:

Step-by-step explanation:

We can transform this into an equation in which the unknown will be represented by x. The word "sum" shows us that we are using addition, and we already know that we are adding 8 to the unknown (or x) and the answer to the equation is 20. Lets put this into a number equation now.

x+8=20

Now we just undo the equation. We have to subtract 8 from both sides.

x+8(-8)=20(-8)

x=12

The answer is 12. :) have a good day!

Zarrin [17]2 years ago

4 0

indicates subtraction

20 - 8 = 12

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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

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

Add the numerators and put the sum over 30 x

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- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

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- 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

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3 years ago

What are the least common multiple of 12,24,16?

vekshin1

Least Common Multiple is :

Calculate Least Common Multiple for :

12, 16 and 24

Factorize of the above numbers :

12 = 22 • 3

16 = 24

24 = 23 • 3

LCM = 24 • 3

Least Common Multiple is :

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3 years ago

What should you do when solving consecutive integer problems

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3 years ago

Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the recta

aksik [14]

Answer:

The answer is "120".

Step-by-step explanation:

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3 years ago

(x+40)(x+40) show steps

pishuonlain [190]

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3 years ago

The sum of an unknown and eight is twenty. What is the unknown?​

The sum of an unknown and eight is twenty. What is the unknown?