MATHEMATICS MIDDLE SCHOOL

Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7 Describe any patterns you noticed when converting the decimals in the table

Answers

Answer 1
Answer:

Answers

Part 1 = 2/9


Part 2 =5/9


Part 3 =7/9



Explanation

To convert the a repeating decimals this are the steps;

Part 1

Let x = 0.222222... (i)

10x = 2.222222... (ii)


Subtract equation (i) from equation(ii)


10x = 2.222222....

-x = 0.222222....

9x = 2.00000..


∴ 9x = 2

Divide by 9 both sides;


x = 2/9


Part 2

Let x = 0.5555...

10x = 5.5555...

subtract equation (i) from equation (ii).


10x = 5.5555..

- x = 0.5555..

9x = 5.0000..


∴ 9x = 5

x = 5/9


Part 3

Let x = 0.7777....

10x = 7.7777...


Subtracting equation (i) from equation (ii)


10x = 7.7777...

-x = 0.7777...

9x = 7.000..


∴ 9x = 7


x = 7/9


Pattern noted

When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.

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NEED ANSWER ASAP!!A-1 Deli sells jugs of iced tea that they have marked up 150% above their wholesale cost of $0.80 per jug. They also charge sales tax of 9%. What is the total cost of a jug of iced tea from A-1 Deli?

1. $1.27
2. $1.31
3. $2.00
4. $2.18

Answers

Answer:

Option 4: $2.18

Step-by-step explanation:

Lets first analyse our given information. We know that:

- Original Cost Per Jug: $0.80

- Mark Up cost: 150%

- Sales Tax: 9%

Now the Mark Up cost essentially means that the original price of any item has gone up (i.e. increased). So first let us find the Mark Up final cost of a $0.80 jug when price has increased by 150%, as follow:

0.80+0.80(150)/(100) =0.80 + 1.2=2

Thus the jug after the mark up now costs $2.

Now lets compute the sales tax on the final jug cost, thus the 9% Tax on $2 as follow:

2+2(9)/(100)=2+0.18=2.18

So finally the total cost of a jug of iced tea from A-1 Deli is $2.18 dollars (i.e. Option 4).

Answer:

2.18

Step-by-step explanation:

Hi Hello Hi Hello

76.11 Multiply fractions and mixed numbers: word problems 5N)Sean had 1/3 of a pound of blueberries. Sean let his friend Kendra eat 3/4 of the blueberries
How many pounds of blueberries did Kendra eat?

Answers

Answer:

Kendra ate 1/4 pounds of blueberries.

Step-by-step explanation:

The amount of blueberries Sean had  =  1/3 pound

The amount of blueberries Kendra ate  = 3/4 of Total available

= 3/4 of (1/3 pounds)

Now, we need to find out the 3/4 amount of 1/3 pound.

3/4 of 1/3 pound  = (3)/(4)  * (1)/(3)   = (1)/(4 )

⇒ 3/4 of the amount 1/3 pound  = 1/4 pound

Hence Kendra ate 1/4 pounds of blueberries.

wheelchair ramps for access to public buildings are allowed a maximum of one inch of vertical increase for every one foot of horizontal distance. Would a ramp that is 10 feet long and 8 inches tall meet this guideline? Explain your reasoning

Answers

yes
if x represents how long it is, y represents how tall it is
then x≥y according to the given information. 
since x=10, y=8 in this situation
it meets the guideline
If you image that the starting point of the ramp is on a coordinate plane being the point (0,0) and the top of the ramp being at (120,8) you can use the slope of the line intersecting the two points to see if the slope is ≥ 1

A pencil measures 14 cm long. How many millimeters long is it?

Answers

14 cm is equal to 140 millimeters  :)
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Stefanie is painting her bedroom. She can paint square feet in of an hour. How many square feet can she paint in one hour?

Answers

In what of in hour tho???

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Answers

17 and 9 :) i found it by dividing 26 by 2 which is 13
I added 4 which is 17
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