Step-by-step explanation:
<h2>Elimination Method</h2>
(x+ 2y=6)2
(2x+4y=12)1
<h3> 2x+4y=12</h3><h3>- 2y+4y=12</h3>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>0</u><u>+</u><u>0</u><u>=</u><u>0</u>
<h3 />
Answer: 
Step-by-step explanation:
Given
Height of cylindrical cake is 
slice is removed
Volume of the slice is 
Area of slice is

Volume of slice will be multiplication of area and height

Hence, the radius of the cake is 
Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour). Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.
I would begin with 1/2 and divide that by 3:
1
--
2
====
3
--
1
Inverting the fraction in the denom. and multiplying, we get
1 1 1
-- * ---- = -----
2 3 6
So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.
Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.
Volume of a cone: (1/3)πr²h
Data:
V=31.5 in³,
r=3 in
Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in
answer: the height of the cone is 3.34 in.
Answer:
Option A. Divide 382 by 1027.
Step-by-step explanation:
A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.
Amir is making a relative frequency table.
As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.
Now he will take the data from the given two way table.
People age 30 years and younger were 382 running outdoors and 105 running indoor.
So people having age 30 and below are 382 + 105 = 487
Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541
Now Total number of people taken in the sample = 487 + 541 = 1027
So relative frequency for the people of age 30 and younger will be
382/1027 for outdoor and 105/1027 for indoor.
Therefore answer will be Option A. Divide by 382/1027.