The answer would be A. <span>The registration fee is $5.50, and the cost per download is $0.95.</span>
Solution
Let x = registration fee
y = cost/downloads
Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50
Thus,
40y + x = 43.50
40y + <span>19.75 - 15y = 43.50
</span>25y = 23.75
y= 0.95
for x,
<span>x = 19.75 - 15y</span>
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5
Well first the initial fee would be the x, which is what we have to solve for. Each hour of work is $6, and she does four hours of work. This is equal to $32. The equation would look as follows...
x + 6(4) = 32
Once you have the equation start solving. Use the Pemdas method. First you have to multiply, so now the equation looks as follows...
x + 24 = 32
Now you have to get the x by itself. You do that by subtracting 24 from both sides, because what you do to one side, you do to the other. That will get you to the answer of...
x = 8
In conclusion, Carolina has an initial fee of $8.
Hope this helped.
<span> x/2 - 3 = 7
Add 3 to both sides
x/2=10
Multiply 2 on both sides
Final Answer: B. 20</span>
Step-by-step explanation:
step 1. break into 2 shapes: a rectangle of sides 3 and 4. a triangle of sides (x - 3), 4, and y.
step 2. y = 4sqrt(2) (definition of a 45° triangle)
step 3. note: sqrt is the square root.
step 4. x - 3 = 4 (definition of a 45° triangle)
step 5. x = 7 (add 3 to both sides).
(-1,6)(2,-6)
slope = (-6 - 6) / (2 - (-1) = -12 / 3 = - 4
y = mx + b
slope(m) = -4
(-1,6)...x = -1 and y = 6
sub and find b
6 = -4(-1) + b
6 = 4 + b
6 - 4 = b
2 = b
ur equation is : y = -4x + 2 <== this is one
(-1,6)
y - 6 = -4(x + 1) <== this is one