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Fittoniya [83]
3 years ago
13

Patrick is buying a new pair of shoes. The expression shown below represents the sales tax on the price of the shoes, s. 0.06s B

y what number can Patrick multiply the price of the shoes, s, to determine the total amount he will need to pay for them, including the tax?
Mathematics
1 answer:
QveST [7]3 years ago
4 0
The total amount that Patrick needs to pay for the shoes including the tax is equal to sum of price, s and the tax, 0.06s. Mathematically, this can be expressed as,
                                 total price = s + 0.06s
Simplifying the equation,
                              total price = 1.06 s
Therefore, Patrick can multiply the price of the shoes, s by 1.06. 
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On a number line, point D is at -6, and point E is at 8. Point F lies between points D and E. If DF: FEis 3: 1, where does point
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F is located on the numbe<u>r 4.5</u><u> </u>on the number line.

<h3></h3><h3>Where does point F lie on the number line?</h3>

We know that point D is at -6

Point E is at 8.

Point F is between D and E, such that the ratio:

DF:FE is 3:1

So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.

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7 0
2 years ago
Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f
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Answer:

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

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Lenny = Time of hiking first 5 km + Time of hiking second 5 km

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Lenny = 5/4 + 5/5

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<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

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