Answer:
<em>The largest number of glasses of juice Isabella can have from the carton is 8.</em>
Step-by-step explanation:
<u>Ratios</u>
Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

There are 1,000 milliliters in one liter, thus the carton has a capacity of
C t= 1.75*1,000 = 1,750 milliliters
Thus,

n=8.75
Since we cannot have 8.75 glasses, we round to the previous integer, then:
The largest number of glasses of juice Isabella can have from the carton is 8.
Answer:
y = 3
x = 1
y = 1.5
x = 2
Step-by-step explanation:
For the first x point, look at the graph where x is 0. When x is 0, y is 3. So the first one is 3. For the second one, there is a point on the graph where y is 4. Where y is 4, x is 1, so you the second answer is 1. For the third one, find the y point where x is -1. At the x value, -1, y is 1.5. For the last one, where y is 5, x is 2.
Answer:
∠WVX = 35°
Step-by-step explanation:
Look at the rough draw.
As you can see,
VW ║ YZ
So ∠XWV is congruent to ∠XYZ through alternate interior angle.
We can solve ∠WVX by considering the two other angles, 88° and 57°.
Total angle of a triangle is 180°.
So,
? + 88 + 57 = 180
? + 145 = 180
? = 180 - 145
? = 35°
Cos(θ) = -20/√((-20)^2 +(-21)^2)
.. = -20/-√841 . . . . . . . . . . . . . . . . . θ is a 4th-quadrant angle, so cos(θ) > 0
.. = 20/29
The value of the cosine is 20/29.