You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.
The answer for this equation is A
The amount of money in your account is mathematically given as
x = $56
This is further explained below.
<h3>What is an account?</h3>
Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.
In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.
These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.
In conclusion, the amount of money in your account will be
18 * 8 = 144
Therefore
x=200 - 144
x = $56
Read more about the account
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Answer:
Step-by-step explanation:
This is a simple proportion problems.
7 kilogram weight attache to a spring stretches = 6 meters
1 kilogram would stretch = 6/7 m
Therefore 42 kilograms would stretch = (6/7 x 42)meters
= 36 meters.
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball

we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,


notice that, our given function is not in standard form i.e

let's make it so

therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:

remove parentheses and change its sign:

simplify multiplication:

simplify division:

so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function

simplify square:

simplify mutilation:

simplify substraction:

hence,
the maximum height of the baseball is 44.1 metres