MATHEMATICS MIDDLE SCHOOL

Simplify. 10/27 divided by 5/9

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

Answer 2

Answer:

Answer:

2/3 or 0.6

Step-by-step explanation:

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if 18 inches is equal to 1 1/2 feet, how many feet long is a 36 inch board? A 72 inch board? A 144 inch board?

Answers

18 inches= 1 1/2 feet= 1.5 feet

18 inches = 1.5 feet

(1) Now we make a proportion to find feet for given inches

$(feet)/(inches) = (feet)/(inches)$

$(1.5)/(18) = (x)/(36)$

1.5 * 36 = 18*x

54 = 18 x (Divide by 18 on both sides)

x = 3

3 feet long is a 36 inch board

(2) 72 inch board

$(1.5)/(18) = (x)/(72)$

1.5 * 72 = 18*x

108 = 18 x (Divide by 18 on both sides)

x = 6

6 feet long is a 72 inch board

(3) 144 inch board

$(1.5)/(18) = (x)/(144)$

1.5 * 144 = 18*x

216 = 18 x (Divide by 18 on both sides)

x = 12

12 feet long is a 144 inch board

A 36-inch board would be 3 feet long, a 72-inch board would be 6 feet long, and a 144-inch board would be 12 feet long.

We have,

If 18 inches is equal to 1 1/2 feet, we can use this conversion factor to find the equivalent length in feet for different measurements.

For a 36-inch board:

We know that 18 inches is equal to 1 1/2 feet.

Therefore, 36 inches would be twice that length, which is 3 feet.

For a 72-inch board:

Again, using the conversion factor, we know that 18 inches is equal to 1 1/2 feet.

Therefore, 72 inches would be four times that length, which is 6 feet.

For a 144-inch board:

Using the same conversion factor, we can see that 18 inches is equal to 1 1/2 feet.

Therefore, 144 inches would be eight times that length, which is 12 feet.

Thus,

A 36-inch board would be 3 feet long, a 72-inch board would be 6 feet long, and a 144-inch board would be 12 feet long.

Learn more about unitconversion here:

brainly.com/question/13899873

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Darrell needs a ride to the airport. He is deciding between two options:Option A is a shuttle that charges a flat rate of $42.

Option B is a cab that charges an initial fee of $4.50 plus an additional $1.25 for every mile traveled.

For what number of miles will Option B cost less than Option A? Let m represent the number of miles.

m < 12

m < 30

m < 38

m < 9

Answers

For 30 numbers of miles will Option B cost less than Option A.

What is mile?

A unit of linear measure equal to 1,760 yards (approximately 1.609 kilometers).

Option A shuttle that charges a flat rate of $42.

Option B is a cab that charges $4.50 + $1.25permile

calculate cab charges for mile(m)=30i.e;

=4.50 + 1.25*30

=42.

So,we can say that upto 30 miles Option B cost less than Option A.

To know more about the mile, click the link below:

brainly.com/question/23245414

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Answer:

m<30

Step-by-step explanation:

Margaret has saved $400. She is going to spend one tenth ( 1/10) of her money on a shopping spree. How much money will Margaret spend?

Answers

Margaret will spend $40 because
400/10

400*.1=40 so margaret is going to spend 40 dollars

You could divide any rectangle into two right triangles. How is knowing this useful?

Answers

It makes it so that you can solve for the sides and such of a triangle using theorems specific to right triangles.

Another word problem. Please show how you get the answer. A particular number was divided by 5 and then 12 was taken from that quotient. Finally, this difference was multiplied by 5. Given the product was -55, what was the number?