Answer:
If you know the radius of a circular track, you can use physics to calculate how fast an object needs to move in order to stay in contact with the track without falling when it reaches the top of the loop.
Answer:
6^-13
Step-by-step explanation:
The rule for multiplying numbers with the same base but different exponents is a^b*a^c=a^(b+c), so in this case we have 6^(-4+(-9)) which is 6^-13
Hope this helped!
Answer:
So the exchange rate is that each dollar is worth 70.4 yens.
Step-by-step explanation:
We have that:
1 euro is priced at $1.25
1 euro will also buy 88 Japanese yen
This also means that:
$1.25 is priced at 88 Japanese yen
How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?
How much yens is 1 dollar?
This can be solved by a simple rule of three.
$1.25 - 88 yen
$1 - x yen



So the exchange rate is that each dollar is worth 70.4 yens.
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
The answer is the second one