So for this we will be using a system of equations, with one equation representing Shakira's sales and the other representing Jeff's sales. Our equations are such (Let x = oranges and y = grapefruit)
For this, I will be using the elimination method. So firstly, multiply both sides of the second equation by -4: 
Next, add 5x+8y=235 and -12x-8y=-340 to get -7x = -105 . From here we can solve for x.
For this, just divide both sides by -7, and your answer is going to be x = 15.
Now that we know what x is, just substitute x for 15 in either equation to solve for y. For this I will be using the second equation.
Since we know that oranges cost $15 and grapefruit cost $20, just add them together to get your answer, which is $35.
To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
See attachment for the graph of y = 2x - 1
<h3>How to graph the function?</h3>
The equation of the function is given as:
4x + y = 6x - 1
Subtract 4x from both sides of the equation
y = 2x - 1
This means that the equivalent equation of 4x + y = 6x - 1 is y = 2x - 1
So, we plot the graph of y = 2x - 1 to represent the equation 4x + y = 6x - 1
See attachment for the graph of y = 2x - 1
Read more about linear equations at
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Answer:
$12.49
Step-by-step explanation:
The price right now = 0.8 * the original price
9.99 = 0.8*x
x=12.4875
x≈12.49
Sorry, I thought your problem meant that it was 20% the original price, not 20% off.
The second choice is the answer: the initial value is the y value (which is 4) and the rate of change is the slope. The slope is calculated with rise/run, so the rise in this situation is that it moves down (negative) by 3 (rise=-3) and the run is how much it moves to the right (run=4). Therefore, the rate of change is rise/run which is -3/4
