Answer:
$558.88
Step-by-step explanation:
Answer:
67/5 = 13 2/5
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
An easier way to solve this is by changing the mixed fractions to improper fractions.
To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.
Mixed fraction - a fraction with a whole number.
Improper fraction - a fraction with a numerator larger than the denominator.
Step 2: <u>Solve.</u>


From here, add as usual.

Step 3: <u>Conclude.</u>
You can change the improper fraction to a mixed fraction if you'd like.
To do this, divide the numerator by the denominator.
The amount of times the numerator evenly goes into the denominator is the whole number.
The amount of remaining numbers in the denominator.
The numerator remains the same.

I, therefore, believe the answer to this is 13 2/5.
Answer:
52b
Step-by-step explanation:
She has 52 cards per deck, and b decks.
This means she has 52b cards.
How this works:
For 1 deck, she has 52 cards, or 52×1 cards.
For 2 decks, she has 104 cards, or 52×1 cards.
For 5 decks, she has 260 cards, or 52×5 cards.
For 10 decks, she has 520 cards, or 52×10 cards.
Therefore, for b decks, she has 52×b, or 52b cards.
**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
B =
*r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = (
*r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* (
*r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B =
*r^2
(Base of the cone)