Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
- 20*2*3= 120 min = 2 hours
So next time both alarms sound at 7:15 am + 2 hours = 9:15 am
The probability of hitting the black circle is closer to 0 than it is to 1. because: find area of circle ~ 3.14*r^2
which is 3.14 because the radius squared is 1. so 1*3.14= 3.14
and the area of the whiteness is 121.
subtract 3.14 from 121 and you get 117.86
this answer is closer to a 0 probability than the white space. the white space is closer to a probability of 1.
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Answer:
263.9 cm^3 to nearest tenth.
Step-by-step explanation:
V = 1/3 π r^2 h
= 1/3 π 6^2 7
= 12 * 7 π
= 84π
= 263.8938
To answer the question, let B call the amount of meat and P the number of potatoes.
The recipe says that for every pound of meat we need 3 potatoes.
Then that relationship is written as follows:


If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.
Then the relationship is:

But 
Therefore, the proportion that represents the situation remains the same 
This occurs because the increase in the amount of potatoes and beef was in the same proportion.
Answer:
x = 2 - 5
, x = 2 + 5
Step-by-step explanation:
x² - 4x = 71
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = 71 + 4
(x - 2)² = 75 ( take the square root of both sides )
x - 2 = ±
= ± 5
( add 2 to both sides )
x = 2 ± 5
then
x = 2 - 5
, x = 2 + 5