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faust18 [17]
2 years ago
5

9 Below are the results of two polls of random samples of high school seniors

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

600

Step-by-step explanation:

10+12+100+120+30+300

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there were 630 tickets sold. each ticket cost $21. how much money was raised from selling the .tickets
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The amount of money made was $13,230.
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One integer is 8​ times another. if the product of the two integers is 288, then find the integers.
Anarel [89]
One integer is x
another integer is y

x=8y
xy=288

(8y)(y)=288
8y^2=288
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y=6

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x=48
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3 years ago
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap
pantera1 [17]

Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

8 0
3 years ago
Jessie filled a container of water with 200 milliliters. Zaria filled a different container with 400 milliliters. There are 1000
Free_Kalibri [48]

Answer: zaria only had 20000 more that jessie in liters

Step-by-step explanation:

200 mill would be 20000

400 mill would be 40000

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712 is the answer of this question

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