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Ivan
2 years ago
5

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 1917 seats, which was 45%

of the total number of seats in the theater. How many total seats were in the theater
Mathematics
1 answer:
nordsb [41]2 years ago
7 0

Answer:

4

Step-by-step explanation:

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Please help I'm very confused on this!!
Effectus [21]

Step-by-step explanation:

The formula for compound interest is

P = I (1 + r/n)^nt

where

P: the total amount of money in the account after a certain amount of time

I: the principal amount

r: the interest rate as a decimal

n: the number of times a year interest is compounded

t: the number of years passed

For Patrick:

P = 200 (1 + 0.02/12)^12*8

P = 200 (1 + 0.00166667)^96

P = 200 (1.00166667)^96

P = 200 * 1.00166667^96

P = $234.67

For Brooklyn:

P = 200 (1 + 0.04/4)^4*8

P = 200 (1 + 0.01)^32

P = 200 (1.01)^32

P = 200 * 1.01^32

P = $274.99

After 8 years, Patrick has $234.67 and Brooklyn has $274.99

7 0
3 years ago
You are carpeting a boardroom which measures 16 feet by 14.5 feet
trapecia [35]

Answer:

If you are finding the Area in which you would need for the carpet would be A= 232 ft

Step-by-step explanation:

A = lw

l = 16

w = 14.5

16 x 14.5 = 232 feet

5 0
3 years ago
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati
amid [387]
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
f(x) = a(x - x_1)(x-x_2)(x-x_3)

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form (x_n , 0)

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say x_1 = 2 , x_2 = 3 , x_3 = 5

So required equation is
f(x) = a (x-2)(x-3)(x-5)
              = a[(x^2 - 2x - 3x + 6)(x-5)]
              = a[(x^2 - 5x+6)(x-5)]
              = a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)
              = a(x^3 - 10x^2+31x-30)
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
-5= a (0-0+0 - 30)
-5 = -30a
a =  \frac{-5}{-30} =  \frac{1}{6}
So required equation of cubic polynomial is
f(x) =  \frac{1}{6}(x^3 -10x^2+31x-30)

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.
4 0
3 years ago
Read 2 more answers
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
3 years ago
What's the easiest way to answer how I know the answer pls?​
-BARSIC- [3]
Answer: Table C

Explanation: The X values match up with those on the graph!
4 0
2 years ago
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