Answer: There are 90 calories in a 6-ounce bottle.
Step-by-step explanation:
We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.
Given: 10 ounces of juice has 150 calories.
i.e. 1 ounce of juice has calories.
i.e. 1 ounce of juice has 15 calories.
Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories
Hence, there are 90 calories in a 6-ounce bottle.
The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)
<h3>How to determine the equation of the graph?</h3>
From the graph the x-intercepts are:
x = -4 and x = 3
Rewrite as:
x + 4 = 0 and x - 3 = 0
Evaluate the product of both equations
(x + 4) * (x - 3) = 0* 0
This gives
(x + 4)(x - 3) = 0
Express as a function
C(x) = (x + 4)(x - 3)
Hence, the equation of the function is C(x) = (x + 4)(x - 3)
Read more about quadratic functions at:
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Answer: you will save with plan B for miles greater than 153.8 miles.
Step-by-step explanation:
Let x represent the number of miles driven with either plans per day.
Plan A: 30 dollars per day and 13 cents per mile. Converting cents to dollars, it becomes 13/100 = $0.13. It means that the total cost of driving x miles with plan A is
30 + 0.13x
Plan B: 50 dollars per day with free unlimited mileage. It means that the total cost of driving x miles with plan B is 50 dollars
For you to save money with plan B, it means that the number of miles would be
50 < 30 + 0.13x
50 - 30 < 0.13x
20 < 0.13x
0.13x > 20
x > 20/0.13
x > 153.8
Answer:
She used 5.775 pints of white paint to paint her bedroom walls.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the amount of white paint used.
y is the amount of blue paint used.
7.7 pints of blue paint and white paint to paint her bedroom walls.
This means that
1/4 of this amount is blue paint, and the rest is white paint.
The rest is 1-(1/4) = 3/4. That is, the amount of white paint is the triple of the amount of blue paint. That is, , or
Replacing in the first equation:
She used 5.775 pints of white paint to paint her bedroom walls.
Answer:
b = 17
Step-by-step explanation:
The angle bisector of the apex angle of an isosceles triangle is also a median and altitude. PS=RS=17
b = 17