Answer:
$11.65
Step-by-step explanation:
20% of 58.25, "of" in math means multiplication. So you multiply it.
To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:
.20 * 58.25
So your answer is, $11.65.
To find the total of the bill including the tip it would just be
11.65 + 58.25 = 69.90
The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.
<h3>What is the quotient of the polynomial division?</h3>
According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;
Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.
Read more on quotients of polynomials;
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Answer:
$5
Step-by-step explanation:
medium popcorn- 2x
total - $23
large- 2x+3
23=4x+3
20=4x
x=5
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Answer:
The skid distance to be used is 54 feet.
Step-by-step explanation:
Given:
Four skid marks on the highway.
in feet.
We have to find the skid distance.
The skid distance that will be used to further calculate the skid speed is actually the mean skid distance.
Mean skid distance (m) :
⇒ 
⇒ 
⇒ 
⇒
feet.
So the skid distance to be used is 54 feet.