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Inga [223]
2 years ago
5

Exactly 512 tickets were sold for the talent show at Cypress Middle School. The number of student tickets sold was three times t

he number of adult tickets sold. How many adult and student tickets were sold?
Mathematics
1 answer:
GREYUIT [131]2 years ago
4 0

Answer:

Number of adult tickets sold = 128

Number of student tickets sold = 384

Step-by-step explanation:

Given that:

There are two types of tickets:

1. Student tickets

2. Adult tickets

As per the question statement, number of student tickets sold were three times the adult tickets sold.

Let the number of adult tickets sold = x

So, number of students tickets sold = 3x

Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512

\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128

Therefore, the answer is:

Number of adult tickets sold = 128

Number of student tickets sold = 3\times 128 = 384

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Answer:

75 mph

Step-by-step explanation:

A biker must circle a 12-mile track twice. His average speed must be 60 mph.

So, the average time required to cover the distance is \frac{2 \times 12}{60} = 0.4 hours.

Now, on his first lap, he averaged 50 mph.

So, he covered this 12 miles track in \frac{12}{50} = 0.24 hours.

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8 0
2 years ago
Which property is shown in the matrix addition below?<br> [-6 15 -2 ] + [6 -15 2 ] = [0 0 0
aksik [14]

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]

Hence,

The property shown in matrix addition given is "Additive Inverse Property"

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2 years ago
The ratio of two complementary angles is 4:1. Find the measure of both angles.
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Answer:

72 : 18

Step-by-step explanation:

The ratio of the two complementary angles is 4 : 1

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x =18

4x = 4(18) = 72

x = 18

Therefore the ratio is 72 : 18

Answer: 72 : 18

 

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