How do you use repeat subtraction to determine 4 divided by 2/5.

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

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You can learn more about the word problems in brainly.com/question/10712420

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5 0

4 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle

Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × $r^{2}$ × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 $cm^{3}$ .

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × $r^{2}$ × h = 211 ; (π = 3.15)

⇒ $r^{2}$ × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

4 0

3 years ago

Which equation can you use to solve for figure shown?

DIA [1.3K]

Hey mate

Here is ur answer ...

I hope it'll help ....

4 0

3 years ago

Read 2 more answers

Can u guys PLEASE ANSWER this question ASAP.

qwelly [4]

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: $x+12$

- The sum of half of x and 5 is: $\frac{1}{2}x+5$

So, the equation to write in this problem is

$x+12=\frac{1}{2}x+5$

We solve it as follows:

1) First, we subtract $\frac{1}{2}x$ from both sides, and we get

$x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5$

2) Then, we subtract 12 from both sides:

$\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7$

3) Now we multiply both sides by 2:

$\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14$

So, this is the solution.

8 0

4 years ago

192+4(7a+6) Pls Help Show ur work (No spam)

horrorfan [7]

Answer:

192 + 4( 7a + 6 )

DISTRIBUTE

192 + 28a + 24

ADD THE NUMBERS

216 + 28a or 28a + 216

Step-by-step explanation:

U DON'T HAVE TO TYPE "DISTRIBUTE" and "ADD THE NUMBERS"

7 0

3 years ago