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Hoochie [10]
3 years ago
14

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted

price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Monthly cost with 9 slices:
Monthly cost with xx slices:
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0
The pizza only would cost 11.25 dollars

The monthly cost would be 26.25 if he always buys 9 slices per months

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Two teams of movers are lowering a piano from the window of a 10 floor apartment building. The rope breaks when the piano is 30
GuDViN [60]

By solving the motion equations for the piano, we will see that they have 0.7 seconds to react.

<h3>How to find the motion equation for the piano.</h3>

So the piano is in a free fall from a height of 30m.

The motion equations will be given by:

  • The only force acting on the piano will be the gravitational one, thus the acceleration of the piano is the gravitational acceleration: a(t) = -9.8m/s^2 (Where the negative sign is because it is falling down).
  • To get the velocity we integrate over time, because the piano has no initial velocity, the constant of integration is zero: v(t) = (-9.8m/s^2)*t
  • To get the position equation we integrate again, here the initial position is 30 meters above the ground, so that will be our constant of integration: p(t) = (1/2)*(-9.8m/s^2)*t^2 + 30m

<h3>How long takes to fall?</h3>

We want to find the value of t such that the position is equal to zero, so we need to solve:

0 = (1/2)*(-9.8m/s^2)*t^2 + 30m

30m = (1/2)*(9.8m/s^2)*t^2

2*30m/(9.8m/s^2) = t^2

6.1 s^2 = t^2

√(6.1 s^2) = 2.5s = t

This means that the piano falls to the ground in 2.5 seconds.

But the workes notice it when the piano is 14 meters above the ground, it happens when:

p(t) = 14m =  (1/2)*(-9.8m/s^2)*t^2 + 30m

Solving that we get:

30m - 14m =  (1/2)*(9.8m/s^2)*t^2

2*16m/(9.8m/s^2) = t^2

3.27s^2 = t^2

√(3.27s^2) = t = 1.8s

So the piano falls in 2.5 seconds, and the works notice it 1.8 seconds after it starts falling, meaning that they have:

2.5 - 1.8 = 0.7 seconds to react.

If you want to learn more about motion equations, you can read:

brainly.com/question/2473092

4 0
2 years ago
a carpet cost $15 per square foot. ( When calculating the price, any fraction of a square foot is counting as a whole square foo
gregori [183]
300 dollars, 15x20 because they count any fraction as a foot, so is like you are going to buy 20 foot of carpet.
5 0
4 years ago
Help. Fully explain plz
frozen [14]
110/55 is what u get if u add them all up
7 0
3 years ago
Read 2 more answers
Chad is paying for his groceries with a $100 bill. The amount of change he receives depends upon the cost of his groceries. What
Thepotemich [5.8K]
A, since y is the change he will get, it will obviously be less than 100.
4 0
3 years ago
Darla told her teacher that she had read XLV pages in her library book. Juan said that he had read XXXIX pages. What is the diff
lesantik [10]

Answer:

The difference between the number of pages that Darla and Juan read are <u>VI pages</u>.

Step-by-step explanation:

Given:

Darla told her teacher that she had read XLV pages in her library book.

Juan said that he had read XXXIX pages.

Now, to get the difference between the number of pages that Darla read and Juan read.

As, we see the number of pages are in roman numeral symbols.

So, we convert them in numbers first to calculate:

Darla read = XLV pages.

Darla read = 45 pages.

Now,

Juan read = XXXIX pages.

Juan read = 39 pages.

So, to get the difference between the number of pages by subtracting:

45-39=6

<em>Thus, the difference between the number of pages = 6 pages.</em>

Now, converting it into roman numerals:

6 pages = VI pages.

Therefore, the difference between the number of pages that Darla and Juan read are VI pages.

8 0
3 years ago
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