Whatever% of anything is just (whatever/100) * anything.
thus 29.5% of something, is just (29.5/100) * something, and the decimal form of 29.5% is just 29.5/100 or the quotient of 29.5÷100.
First car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20
Final answers:
First car=20 gallons
Second car=35 gallons
The answer is: " 471 cm² " .
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The formula for the surface area, "S.A.", of a "cylinder":
S.A. = 2 π r² + 2 π r h ;
in which:
"S.A." = "surface area" of the cylinder; for which we wish to solve;
π = 3.14 (approximation we shall use) ;
r = radius = 5 cm (given; from figure);
h = height = 2 cm (given; from figure);
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To solve for the surface area, "S.A." . let us plug in our known values, and solve:
S.A. = 2 π r² + 2 π r h ;
S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;
= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 157 cm² + 314 cm² ;
= 471 cm² .
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The answer is: " 471 cm² " .
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Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Simplify the following:
3 x^2 (3 x - 6/x)
Put each term in 3 x - 6/x over the common denominator x: 3 x - 6/x = (3 x^2)/x - 6/x:
3 x^2 (3 x^2)/x - 6/x
(3 x^2)/x - 6/x = (3 x^2 - 6)/x:
3 x^2 (3 x^2 - 6)/x
Combine powers. (3 x^2 (3 x^2 - 6))/x = 3 x^(2 - 1) (3 x^2 - 6):
3 x^(2 - 1) (3 x^2 - 6)
2 - 1 = 1:
3 x (3 x^2 - 6)
Factor 3 out of 3 x^2 - 6:
3 x×3 (x^2 - 2)
3×3 = 9:
Answer: 9 x (x^2 - 2)
