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leonid [27]
3 years ago
10

Adam, ben, Cathy and dana share some lollies. First Adam takes 2/3 of the lollies, then Ben takes 1/4 of the remainder, and the

Cathy takes 1/3of what was left. Dana gets all the rest. What fraction of the original number of lollies does Dana get?
Mathematics
1 answer:
rosijanka [135]3 years ago
4 0
A = 2/3......remainder 1/3
B = 1/4(1/3) = 1/12
2/3 + 1/12 = 8/12 + 1/12 = 9/12 reduces to 3/4 remainder 1/4
C = 1/3(1/4) = 1/12

3/4 + 1/12 = 9/12 + 1/12 = 10/12 reduces to 5/6 remainder 1/6

so Gana gets 1/6

check...
adam gets 2/3 or 8/12
ben gets 1/12
cathy gets 1/12
Gana gets 1/6 or 2/12
added = 12/12 or 1....correct

Dana gets 1/6 <==


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Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her
Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50                          change the % to a fraction

125/100 * x = 65.50                             Multiply both sides by 100/125  

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50                             Multiply by 100

x = 6550 / 125                                     Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal =                                               52.40

Total                                                  65.50  Just as it should

8 0
3 years ago
What is the estimate of 172.6 divided by 39 ?
KengaRu [80]
To the nearest tenth = 4.4 and to the nearest whole number is 4. Whatever estimation it asks you.
5 0
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Why is it helpful to represent fractions and division with models? (pls make answer pretty long, thanks :)
eimsori [14]

Answer:

Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.

Step-by-step explanation:

6 0
2 years ago
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mrs_skeptik [129]

Step-by-step explanation:

5x=4x+12(corresponding angle)

5x-4x=12

x=12

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6 0
2 years ago
The table gives the boiling point of water at different altitudes.
stich3 [128]
Slope = raise / run

(211.1 - 212.0) / (0.5-0) = - 1.8

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(208.4 - 210.2) / (2.0 - 1.0) = - 1.8

You can check, the other points. The slope is constant because the function is a linear equation,

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