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prisoha [69]
2 years ago
11

Multiply (FOIL) ( x - 3)( 2x + 5) (3x + 7)(2x - 1)

Mathematics
1 answer:
Troyanec [42]2 years ago
7 0

(x-3)(2x+5)=2x^2+5x-6x-15=\boxed{2x^2-x-15}\\\\(3x+7)(2x-1)=6x^2-3x+14x-7=\boxed{6x^2+11x-7}

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square meter is the SI unit of area.

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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

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3 years ago
What is this number written in word form? 4,139,000 no links
Sveta_85 [38]

Answer:

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Step-by-step explanation:

cyxctx9otxfizfizgbjmkk

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3 years ago
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Help needed bad at math
ANTONII [103]

first and second part put 0.75, then multiply 0.75 by 2 to get 1.50, then write in the third part 1 and 1/2

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Clara scored a 79 on her history test what grade does she have to get on her next test so she will have a average of a 83
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79 is 4 below 83 so her next grade needs to be 4 above in order to get an average of 83. The answer is 87.
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