<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or
8:32.
2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x =
52 [tex] \frac{miles}{hour} [tex]
3) Which typing time is fastest? I answered this earlier, refer to it please refer to it:
brainly.com/question/2560190
Answer:
60
Step-by-step explanation:
We can write a proportion to solve
5 made x made
------------ = -----------
3 missed 36 missed
Using cross products
5 * 36 = 3x
Divide each side by 3
5 * 36/3 = 3x/3
50 = x
She made 60
-15.66 ÷ 5.8 = -156.6 ÷ 58 = -1566 ÷ 580
If there are two cups in a pint, two pints in a quart, and four quarts in a gallon that means that there are 16 cups in a gallon. then, in order to convert, all you do is divide 152/16. when you divide this out, you get 9.5 gallons