Answer:
x=75
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
42 50
------ = ----------
42+63 50+x
42 50
------ = ----------
105 50+x
Using cross products
42(50+x) = 50*(105)
2100+42x = 5250
Subtract 2100 from each side
2100-2100+42x = 5250-2100
42x =3150
Divide by 42
42x/42 = 3150/42
x = 75
The dependent value is determine by the value of the independent value. in other words, the dependent value is what you get when you take the independent value and substitute it in the original equation or situation. The relationship is multiplicative because you must first multiply the independent value in the equation where the x is before you can add or subtract to get your answer.<span />
Answer:
A) x+5
B) 121
Step-by-step explanation:
A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is <em>x </em>pounds.
B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.
Answer: D. History
Step-by-step explanation:
To answer this question, we need to use the z-score formula written below:

Now we'll just plug in the numbers and solve.
History:

Biology:

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History
(5 cases)/(2 3/8 hour)
(5 cases)/(19/8 hours)
(5*8/19) cases/hour....invert the fraction and multiply 1/(19/8 hour)=(8/19)/hour
40/19 cases/hour
2 2/19 cases/hour