Answer: Andre picked 252 lbs of apple
Step-by-step explanation:
Let x represent the number of pounds of apple that Jane picked.
Let y represent the number of pounds of apple that Andre picked.
Let z represent the number of pounds of apple that Maria picked.
Andre picks 3 times as many pounds as maria. This means that
y = 3z
z = y/3
Jane picks 2 times as many pounds as Andre. This means that
x = 2y
The total weight of the apples 840 ibs. This means that
x + y + z = 840 - - - - - - - - - -1
Substituting z = y/3 and x = 2y into equation 1, it becomes
2y + y + y/3 = 840
Cross multiplying by 3, it becomes
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 2×252 = 504
z = y/3 = 252/3 = 84
Answer:
It is true, because the cosine function has a period of 2π
Step-by-step explanation:
Since, the period of the cos function is 360° ( or 2π radians ), it holds the property of:
Taking 
as 
, 
is equal to 
The equation is true!
<u>Note:</u> The cos function is even function
Hence, the equation is true, because the cosine function has a period of 2π, NOT because the cosine function is ODD, which it is not!!
Answer:
450
Step-by-step explanation:
75+75+75+75+75+75
2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each to equal the number of zeros in the divisor. So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40 you just remove the 3 zeros
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400 you just keep removing 0s like for instance this time it was 2 lastly 80,000 ÷ 20 only allows us to remove 1 zero 8,000 ÷ 2 = 4,000. The smaller the divisor the greater the quotient when dividing the same number like for instance in this example 80,000
