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Fittoniya [83]
4 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]4 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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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7​
motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

\displaystyle x_{n} = a\left(r\right)^{n-1}

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}

In conclusion, the 8th term of the sequence is 896/2187.

8 0
3 years ago
I need to write a problem for this equation 3(2x-5)=24
o-na [289]

Answer:

Three times the difference of two times a number and five is equal to 24, what is x?  

Step-by-step explanation:

To write any equation in word problems, it is important to identify all your parenthesis operations by their technical names. Subtraction is a difference. So since we are multiplying it by 3, it becomes three times a difference.


6 0
3 years ago
314 stones for a cost of 2,512.00, how many stones are needed is the cost is 1,584.00
kondor19780726 [428]

Answer:

x≈231.123

Step-by-step explanation:

1) Make a ratio 314/2512= x/1584

2) Use the concept of cross multiplication and get 314*1584=2512x

3) Use Algebra:

314*1584=497,376

497,376/2152=2512x/2152

x≈231.123

8 0
3 years ago
Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base
jek_recluse [69]

Answer:

10

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

5 0
3 years ago
Please help me to solve these questions as soon as possible. Thank you ​
densk [106]

Answer:

499

9

April 12 2021

Step-by-step explanation:

1 and 500 are the smallest and largest

12 is the highest common factor

Every 12 days they have an appointment together

8 0
3 years ago
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