The thief originally stole 64 plants.
<h3>What is arithmetic?</h3>
In mathematics, it deals with numbers of operations according to the statements.
Here,
Let the number of plants originally stolen by the thief be x.
On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half of the plants that he still had, plus 2 more.
Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64
Thus, the thief stole 64 plants.
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Answer:
Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)
The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.
Step-by-step explanation:
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Answer:
A.) 10 years old
Step-by-step explanation:
Sam: John - 14
S = J - 14
S x J = 240
10 = J - 14
0 = J - 14 - 10
-J = -24
J = 24
10 x 24 = 240
According to law of cosines the length of RQ can be written as
.
Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.
A length of the triangle can be written as according to law of cosines if sides are given and one angle is 
We have to just put the values in the above equation.
as
.
p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.
Hence the side can be written as according to law of cosines if the angle is 39 degrees is as
.
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Answer:
? = 4
4 is the number missing on the right.
Step-by-step explanation:
Check out the 8 on left. It has become a 2 on the right. How did that happen?
What do you have to multiply the 2 by to get 8?
Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?
What about the 2. Don't you have to multiply it by 4 to get 8?
36 + 8 = 4(9 + 2) The distributive property on the right will produce the numbers on the left.
So ? = 4