Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that
Solving for y
The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as
Or equivalently
Replacing y from the first equation
Operating
Simplifying
Riley has 72 tokens
A) 8 chocolate chip cookies
B) The ratio of sugar to oatmeal is 2:3 because there are 12 sugar and 18 oatmeal. 12/18 simplified is 2/3.
Answer:
Length: 15 feet Width: 105 feet
Step-by-step explanation:
set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.
Hope this answered your question!
Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope 
turns into 
and is then multiplied by -1 to become 
which can be simplified down to: 
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
Substitute in our slope and point values:
Now solve for y:
Then you will find that line 
runs perpendicular to 
and intersects point (2,2).
Given:
Taking the LCM as 6,
Applying the product rule to 
:-
Now applying the product rule to 1/6:-
Hence, the answer.
