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aniked [119]
3 years ago
8

The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?

Mathematics
2 answers:
lys-0071 [83]3 years ago
4 0

Answer:

156.86

Step-by-step explanation:

136.40 + 15% is 20.46 added to 136.40 is 156.86


BlackZzzverrR [31]3 years ago
3 0

Answer:

$156.86.

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would $136.40 plus 15% of $136.40.

\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40

\text{Total bill}=\$136.40+0.15\times \$136.40

\text{Total bill}=\$136.40+\$20.46

\text{Total bill}=\$156.86

Therefore, the total cost of bill including tip would be $156.86.

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3 years ago
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se
kakasveta [241]
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x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
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note:
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-8.75y + 5y = 126 - 178.5
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y = -52.5/-3.75
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x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea



6 0
3 years ago
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