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3 years ago

Estimate a 20% tip on a dinner bill of \$173.26 by first rounding the bill amount to the nearest ten dollars .

Mathematics

2 answers:

RideAnS [48]3 years ago

8 0

Answer:

Step-by-step explanation:

173.25 - 20%

jeka57 [31]3 years ago

6 0

Answer: $34.6

Step-by-step explanation:

The question is 20% tip of $173.26 dinner bill.

First we round to the nearest ten dollars means round off to the nearest tenth

Since 0.26 is not up to 0.5, we round down and the value becomes $173

Next, 20% of $173 means 20/100 × 173

=0.2 × $173 = $34.6

Therefore, 20% tip on a $173 dinner bill is $34.6

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bulgar [2K]

Answer:

4.9

Step-by-step explanation:

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3 years ago

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Write an algebraic expression to represent each scenario.<br><br> Part A: “the sum of 6 and y”

Nostrana [21]

Answer:

6 + y

Step-by-step explanation:

Here, we want to write an algebraic expression to represent the situation

Mathematically, we want to add 6 and y

The algebraic expression will be;

6 + y

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3 years ago

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2 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

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2 years ago

Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example,22

KatRina [158]

Answer:

the answer is 2×2×3 I think

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3 years ago