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igor_vitrenko
9 days ago
14

The number of tickets sold for a school event is 330. Let a represent the number of adult tickets sold and s represent the numbe

r of student tickets sold. The cost of a student ticket is $6 and the cost of an adult ticket is $10. In total, $2380 was taken in from ticket sales. Write a linear system to represent the information
Mathematics
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Mona wrote 7 tests. her average was 93 what is the lowest grade she can get for her average to be 90
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Response:

69

Detailed steps:

To calculate the total score for all tests, you take 93 and multiply it by 7 to get 651. Then, multiplying 90 by 8 results in 720. Subtracting 651 from 720 gives you 69.

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The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tow
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Answer:

The formula representing the penny's height as a function of time is:

h(t)=1451-16t^2

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

dv/dt=-g\\\\v(t)=v_0-gt=-gt

Then, the height is expressed as:

dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2

The height of the penny at approximately 7 seconds can be calculated as:

h(7)=1451-16(7^2)=1451-16*49=1451-784=667

After 7 seconds, the penny will stand at a height of 667 feet.

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