Answer: Choice B) x < 10
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Explanation:
There's 300 square feet total (land+water). Of that, 100 sq ft is taken up by the pond, so we have 300-100 = 200 sq ft of dry land.
1 duck needs more than 20 sq ft of dry land
2 ducks need more than 40 sq ft of dry land (note how 2*20 = 40)
3 ducks need more than 60 sq ft of dry land (note how 3*20 = 60)
and so on...
In general,
x ducks need more than 20*x square feet of dry land
The max amount of dry land we have is 200 sq ft
The total amount of space the ducks take up must be less than 200 sq ft
In terms of symbols, we have
T = total space ducks take up on dry land
T = 20*x
T < 200
So we can arrive at this inequality
20*x < 200
after replacing the "T" with "20*x"
Afterward, divide both sides by 20
20*x < 200
20*x/20 < 200/20
x < 10
So we must have less than 10 ducks
If we had 10 ducks exactly, then they would take up more than 20*10 = 200 sq ft, but we only have 200 sq ft
The largest number of ducks we can have is 9 ducks.
So that's why we have a "less than" symbol instead of a "less than or equal to" symbol.
Answer:
-2.8 x 10^5 or -280,000
Step-by-step explanation:
We first have to look at:
<em>P </em>: Parenthesis
<em>E </em>: Exponents
<em>M </em>: Multiply
<em>D </em>: Divide
<em>A </em>: Add
<em>S </em>: Subtract
We have to solve the question in that order:
The first thing we do is figure out the value of the exponents from left to right since there are exponents inside the parenthesis.
10^4 is just 10x10x10x10 = 10,000
10^5 same thing 10x10x10x10x10 = 100,000
Now that we know the value of the exponents we can solve the equations inside the parenthesis:
12 x 10,000 = 120,000
(120,000) - ( 4 x 100,000)
4 x 100,000 = 400,000
So the final expression is:
<u>(120,000) - (400,000) = -280,000</u>
Answer:
Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.
Step-by-step explanation:
Let 32% of x = 56
32%*x = 56
32/100 *x = 56
x = 56*100/32
x = 5600/32 = 175
hence, 32% of 175 is 56.
