The juice container that is 1 gallon
Answer:
75 pounds
Step-by-step explanation:
To solve this problem, find 3/4 of 100.
To multiply fractions, multiply the numerators by each other and the denominators by each other.
3/4 * 100/1
Evaluating 3*100 and 4*1, the fraction becomes 300/4.
Now, divide 300 by 4 to get the final answer. 300/4 = 75. Therefore, 75 pounds of the students weight is water.
The number of interceptions made by a defensive back is definitely countable because it is finite and also it is not continuous because each interception is different and is unique. That is to say, one interruption happens and then then next. They do not happen in a continuous manner.
Thus, the number of interceptions made by a defensive back are countable and are discrete. Having a look at the options we can see that Option C matches as it says "the variable is discrete because it is countable".
Thus Option C is the answer.
Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
----------------------
2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
-------------------------------
2(1)
2 ± sqrt(4+8)
------------------
2
2±sqrt(12)
---------------
2
2±2sqrt(3)
----------------
2
1±sqrt(3)
roots: 2.73, and -.73
Answer: Steve bought 4 new video games, and he spent $216
Step-by-step explanation: Because 54x4=216
I hope this helped
