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4vir4ik [10]
3 years ago
8

A total of 17,100 seats are still available for the next hockey game. If 62% of the tickets are sold, how many seats are in the

arena?
Mathematics
2 answers:
shtirl [24]3 years ago
7 0
45,000 seats are in the arena
igomit [66]3 years ago
5 0

Answer:

The total number of seats in the arena is 45000.

Step-by-step explanation:

Let the total number of seats in the arena be x.

It is given that 62% of the tickets are sold. it means 38% seats are still available.

A total of 17,100 seats are still available for the next hockey game.

\frac{38}{100}x=17100

Multiply both sides by 100.

38x=1710000

Divide both sides by 38.

x=\frac{1710000}{38}

x=45000

The value of x is 45000. Therefore the total number of seats in the arena is 45000.

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Step-by-step explanation:

Rise over run!!!

Subtract y values, divide that by the subtracted x values.

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4 0
3 years ago
In 2000, the median household income was $41,990. In 2010, it was $49,445. (Source: www.census.gov.)
pochemuha

The average rate of change in the median household income over this time period is $745.5

<h3>What is the average rate of change in the median household income over this time period?</h3>

The given parameters are:

2000, the median household income was $41,990.

2010, it was $49,445.

The average rate of change in the median household income over this time period is calculated as:

Average rate of change = (Difference in Income)/(Difference in years)

So, we have:

Average rate of change = (41990 - 49445)/(2000-2010)

Evaluate

Average rate of change = 745.5

Hence, the average rate of change in the median household income over this time period is $745.5

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4 0
2 years ago
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order
kirill [66]

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

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EF = 6.5

Thus:

\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}

\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}

\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

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