First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.
37 + 13 = 50.
Jasmine is pouring the punch into 6 ounce cups. To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).
50/6 ≈ 8.33
Therefore, Jasmine can
A. make 8 full cups of punch with the apple juice and grape juice.
and
B. Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.
Answer:
Step-by-step explanation:
The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):
,
, and
We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:
Notice I also wrote the 1 in terms of sin^2(x).
Now we will put the numerator of the bigger fraction over the common denominator:
The rule is bring up the lower fraction and flip it to multiply, so that will give us:
And canceling out the sin^2 x leaves us with just
which is one of our identities.
4/x = 6/(x+3)
6x = 4(x+3)
6x = 4x + 12
2x = 12
x = 6
P = (4 + 6) +(6+3) + 6
P = 10 + 9 + 6
P = 25
Answer:
1.89
Step-by-step explanation:
7.56 ÷ 4 = 1.89
Answer:
There's no proportional relationship between number of laps and minutes.
Step-by-step explanation:
The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.
So therefore, the relationship between the x and y cannot be proportional.
We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.
