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bazaltina [42]
3 years ago
6

The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bott

le, and x is the number of servings or juice poured from the bottle.
How many servings are in a bottle?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

There are 16 servings in the bottle.

Step-by-step explanation:

The equation for the amount of juice left in the bottle is:

y = 128 - 8*x

Where x is the number of servings of juice poured from the bottle.

The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)

Then we need to solve:

y = 0 = 128 - 8*x

8*x = 128

now we can just divide both sides by 8

x = 128/8 = 16

There are 16 servings in the bottle.

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1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
Ishaan is 3 times as old as Christopher and is also 14 years older then Christopher. How old is ishaan?
rosijanka [135]
I=Ishaan
C=Christopher
I/3=C
I-14=C
Substitute
I/3=I-14
I=3I-42
-2I=-42
Ishann = 21
4 0
4 years ago
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