The fraction of his farm which isn’t ruined is 11/18
<h3>Fractions and proportion</h3>
Fractions are written as a ratio of two integers. The given question will be solved using the method of proportion.
If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;
Fraction ruined from the storm = 2/3* (7/12)
Simplify to its lowest term to have:
Fraction ruined from the storm = 7/18
Determine the fraction of the firm that is not ruined
Fraction not ruined = 1 - 7/18
Fraction not ruined = 11/18
Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.
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Answer:
Step-by-step explanation:
we know that
The equation of the line in point slope form is equal to
we have
substitute
Answer:
D. It has a constant slope.
Step-by-step explanation:
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin
, then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once
, then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once
, then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope
, then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.
Answer:
c
Step-by-step explanation:
Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.
Multiply each one together:
sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)
sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)
4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)
4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)
Then simplify:
sqrt(54x^2) = 3x sqrt(6x)
x sqrt(30x^7) = -x^4 sqrt(30x)
4 sqrt(72x^4) = 24x^2 sqrt(2)
-4x sqrt(40x^8) = -8x^5 sqrt(10)
Answer:
<h2>510</h2><h2 />
Step-by-step explanation:
30-22=8
22-14=8
14-6=8
then
→ the common difference r = 8
→ the first term = 6
THerefore, (accoriding to the standard explicit formula)
the 64th term = term 1 + (64 - 1)×r
= 6 + 63×8
= 510
