Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
<u>Claim</u>: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection 
, but slightly to the side, around let's say, 
; the new line will coincide with 
if and only if 
, ie only the rotation happens around the intersection.
The answer to this is y = 7x + 15
Answer:
2 erasers cost <u><em>$1.20</em></u>
Step-by-step explanation:
Nigel bought 10 pencils and 5 erasers for $8.
We can write this algebraically:
10p + 5e = 8
We know that the price of 2 pencils is $1. That is $0.50/Pencil.
So, p = $0.50. Now we can plug that into out equation and find the price of one eraser:
10(0.50) + 5e = 8
5 + 5e = 8
5e = 3
e = $0.60
Now, we have the price of one eraser,<em> </em><u><em>$0.60</em></u>, and we can multiply this by 2 to find the price of 2 erasers, which equates to <u><em>$1.20</em></u>.
Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.
Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.
We have to convert the the mixed fraction form 
to simpler 
fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form 
have the following understanding:
c is the divider
b is the remainder and
a is the quotient.
To convert mixed fraction to fraction we can use the following:
Hence
i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Based on the given details above, here are the answers to your question.
If x represents the number of quarters in the jar, the equation that can be used to find the number of quarters is this <span>0.25x + 0.05(150 x) = 28.30.
Then, for the how many quarters and how many nickels are there, the answer is </span><span> 46 quarters; 104 nickels. Hope this answer helps. </span>
