From the expression 2f + 5(8-f), we know that Karla caught f purple dot fish, and (8-f) green dot fish, because green dot fish gives 5 points.
2f -points for the purple dot fish, f is a number of the purple dot fish.
5(8-f) - points for the green dot fish, (8-f) is a number of the green dot fish.
So,
altogether she made 8 attempts.
One attempt cost 50 cents,
8 attempts cost 8*50=400 cents = $ 4.
Answer is B. 4 (dollars).
Answer:
- MN = (21 -6√3)/37 ≈ 0.286694
- RK = (14√3 -12)/37 ≈ 0.331046
Step-by-step explanation:
In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...
AM = LR = x/√3
RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x
Then the sum of lengths along AC is ...
AC = AM +ML +LR +RC
1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)
Then the value of x is ...
It's a. 3.
because
3+6x=21
6x=18
x=3.
6x + 4y = -24
30x + 20y = -120
You can multiply all of the numbers by any common factor and get an equation that works.
Answer:
Read on:
Step-by-step explanation:
Step 1:
System #1
System #2
System #3
Step 2:
Look at First Drawing:
Look at Second Drawing
Look at Third Drawing
Step 3: Intersecting
Step 4: Overlap (Same Line)
Step 5: Parallel
Step 6:
Intersecting: If the slopes are unequal
Parallel: If the slopes are equal but the y-intercept is unequal
Same line: If the slopes and y-intercepts are all equal
Step 7: The lines are parallel because although the slopes are equal, the y-intercepts are not