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forsale [732]
3 years ago
10

Solve number 4 and evaluate and get the answer

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Answer:

5

Step-by-step explanation:

3m ÷ \frac{2}{5}

m = \frac{2}{3}

3 x \frac{2}{3} ÷ \frac{2}{5}

2 ÷ 2/5

5

sertanlavr [38]3 years ago
4 0

Answer:

5

Step-by-step explanation:

3( \frac{2}{3} ) \div  \frac{2}{5}  \\ 2 \div  \frac{2}{5}  \\ 2 \times  \frac{5}{2}  \\  = 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
A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?
Schach [20]
The area is 44.18 , hope this helps
3 0
2 years ago
Solve for each variable.
dem82 [27]

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

5 0
3 years ago
An industrial factory makes 2 3/8 yards of rope every minute. The cost of each yard is $4.06. What is the total cost of rope tha
kifflom [539]
I think here the answer is D
5 0
2 years ago
For each boat he sells, nick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the p
muminat

Answer:

The equation c = 0.02p+149 represents micks commission.

Step-by-step explanation:

Given that:

Amount earned by Nick on sale of each boat = $149

Commission earned = 2% of the purchase price

p represent the purchase price

Commission earned = \frac{2}{100}*p

Commission earned = 0.02*p

Commission earned = 0.02p

Total commission = c = 0.02p + 149

Hence,

The equation c = 0.02p+149 represents micks commission.

3 0
2 years ago
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