a. 202.5g
Since 45% of the energy drink is sugar
⇒ 45% of the total 450 grams will be made up of sugar
∴ sugar = 
* 450
= 202.5g
Thus, the can contains 202.5g of sugar
b. 3.2L
Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters
∴ paint left = 
* 4
= 3.2L
Thus, the can has 3.2 liters of paint left.
c. 1680 acres
Here, 30% of the farmer's crop is and the rest is wheat
⇒ 70% is wheat
Total acres of land planted= 2400
∴ Acres planted with wheat = 
*2400
= 1680 acres
Thus 1680 acres is planted with wheat
Learn more about percentages here-
brainly.com/question/843074
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Perpendicular.
Parallel lines will have the same slope (1/6 and 1/6 or -6 and -6)
Perpendicular lines will have opposite reciprocal slopes. (1/6 and -6)
<span>dividend x3 - 11x2 + 16x + 84
- divisor * x2 x3 - 7x2
remainder - 4x2 + 16x + 84
- divisor * -4x1 - 4x2 + 28x
remainder - 12x + 84
- divisor * -12x0 - 12x + 84
remainder 0
Quotient : x2-4x-12 Remainder: 0
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
x2 - 6x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-6)
Which is the desired factorization
Final result :
(x + 2) • (x - 6) • (x - 7)</span>
The length of the rectangle is defined by 
.
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a <em>third</em> <em>order</em> polynomial and width by a <em>first order</em> polynomial and, thus, length must be a <em>second order</em> polynomial.
By factor the polynomial we get the following roots:
Then, the length of the rectangle is defined by .
To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743
Step-by-step explanation:
y isn't directly proportional with x because the graph doesn't cross O the origin, it starts from a y-intercept wich is not a property for proportional portions
