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3 years ago

On a map, 1 centimeter represents a distance of 15 kilometers. How many kilometers are represented by 7 centimeters?

Mathematics

1 answer:

marishachu [46]3 years ago

5 0

Answer:

105

Step-by-step explanation:

15 times 7 =105

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4 years ago

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Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

postnew [5]

Answer:

The average cost of each dinner at Dave's party is <u>$5.79</u>.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

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$\bf 0.2121\overline{21}\qquad \qquad \qquad x=0.2121\overline{21}\\\\ -------------------------------\\\\ \stackrel{\textit{moving the 21 to the left}}{\stackrel{100\cdot x}{100\cdot 0.2121\overline{21}}}\implies 21.2121\overline{21}\implies \begin{array}{llll} 21&+&0.2121\overline{21}\\ 21&+&x \end{array} \\\\\\ therefore\qquad \qquad 100x = 21+x\implies 99x=21 \\\\\\ x=\cfrac{21}{99}\implies x=\stackrel{simplified}{\cfrac{7}{33}}$

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