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Rudik [331]
3 years ago
9

Need help solving this .

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0
D. 37.5% is the correct answer for your question
Alexxandr [17]3 years ago
8 0
Change the proper fraction into percent
Percent means per hundred, so we should change the denominator into 100
First, I change the denominator to 1,000, multiply the numerator and denominator by 125
= 3/8 × 125/125
= 375/1,000

Second, I change the denominator to 100, divide the fraction above by 10
= 375/1,000 ÷ 10/10
= 37.5/100
= 37.5%

The answer is option D
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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
4 years ago
The entire graph of the function f is shown in the figure below.
postnew [5]

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

6 0
3 years ago
The class is 60% women and 10% of the women have blond hair, so blond women comprise 60% × 10% = 6% of the class.
Tatiana [17]

Answer:

Conversion and substitution

Step-by-step explanation:

One way to find out if the expression is true, we can convert all the percentages into their decimal equivalence.

60% = 0.6

10% = 0.1

6% = 0.06

Now let's substitute the values.

0.06 = 0.6 x 0.1

0.06 = 0.06

Since 0.06 is equal 0.06, this then proves that it is true.

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How many solutions over the complex number system does this polynomial have?
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The number of complex solutions (roots) of a polynomial function is the degree of the polynomial.
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