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Montano1993 [528]
2 years ago
8

You and a friend buy two fruit smoothies and leave a tip. You split the total and your half comes to $3.60. What percent tip (in

decimal form) did you and your friend leave if the fruit smoothies cost $3 each?
Mathematics
2 answers:
Korolek [52]2 years ago
7 0
<span>Let us first find what the total amount is. It is 3.60 + 3.60 = 7.20
Now let us find the cost of two fruit smoothies. It is 3+3 = 6
So the tip left by you = 7.20 - 6 = 1.20
That is, $1.20 tip for an amount of $7.20
To change it into a percent, form a fraction using the above two numbers and multiply it by 100.
So, the fraction is 1.20/7.20(Numerator 1.20 and denominator 7.20)
Now multiply by 100
1.20/7.20 X 100 = 16.67</span>
Bezzdna [24]2 years ago
6 0

the amount they paid includes the price of the two smoothies and tip

since the friends are splitting the bill in 2, then each friend pays only half the amount

each friend pays $ 3.60 each

so the total amount they both paid is 3.60 x 2 = $ 7.20

the cost of one smoothie - $3

therefore the cost of the 2 smoothies - 3 x 2 = $ 6

so they paid 7.20 but the bill was only 6 dollars

so the difference in the 2 amounts is the value of the tip they left

tip = 7.20 - 6 = 1.20

so the percentage of the tip is - tip amount / value of the bill x 100 %

percentage = 1.20 / 6.0 x 100 % = 20 %

they left 20 % of the bill as a tip

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Answer:

Angeline will spend $70.77

Step-by-step explanation:

y = 8.09(5) + 3.79(8)

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sqrt (29) = 5.3852

 

<span> So we can say that 5.7145 is greater than the square root of 29.</span>

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Answer:

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Step-by-step explanation:

From the given picture,

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2 years ago
Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answ
Margarita [4]

Complete question is;

Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer.

A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax = 0. For Ax = b to be inconsistent, Ax = 0 has only the trivial solution.

B. Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution.

C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.

D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax = 0 has only the trivial solution.

Answer:

Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

Step-by-step explanation:

There are different ways of explaining this but we will explain it algebraic ally.

If Ax = b has a solution, then it can be said to be unique if and only if every column of A will be a pivot column. Now, If every column of A will be a pivot column, then it means that there are no free variables, and thus the homogeneous equation will have only the trivial solution.

Also homogeneous equations are always constant.

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There is a relationship between confidence interval and standard deviation:
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When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
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Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
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