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DIA [1.3K]
3 years ago
12

According to the graph, what is the value of the constant in the equation below?

Mathematics
1 answer:
kow [346]3 years ago
5 0

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are (4,12.5) , (5,10) , (10,5) and (20,2.5)

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that Height =\frac{ { Constant }}{{ Width }}$

We need to determine the value of the constant

<u>Value of the constant:</u>

The value of the constant can be determined using the formula,

Height \times weight=Constant

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate (4,12.5) in the above formula, we get,

4\times 12.5=Constant

       50=Constant

Therefore, the value of constant is 50.

Hence, Option B is the correct answer.

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3 years ago
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
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  • 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

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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

∵ \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

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Murljashka [212]
If Shelly is 3 years older than Michael and There 67. Michael is 64 and Shelly is 67. Or Michael is 67 and Shelly is 70.

Hope I helped. Have a wonderful day
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Step-by-step explanation:

given

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ω
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