12 tablespoons of sugar and 3 cups of water (48 tablespoons)
Answer:
3 ft.
Step-by-step explanation:
We have that the parabola formula has the following general equation:
x ^ 2 = 4py
p would come being the distension of the vertex until the focus.
They tell us that this value is 3, that is to say p = 3. Replacing we have:
x ^ 2 = 4 * 3 * y
x ^ 2 = 12 * y
reorganizing for and, we are left with:
y = (1/12) * x ^ 2
We know that the opening is 12 feet wide, therefore, the parabola, being symmetry, must be distributed in the same way, in two equal parts, that is, 12/2 = 6. Therefore, being vertical on the x axis must take values of (-6, y), (6, y).
Which means that the value of x is 6 or -6. (it doesn't matter which of the two is when it is squared)
Replacing in the equation obtained:
y = (1/12) * (6 ^ 2)
y = 3
Therefore the depth is equal to 3 ft.
Answer:
Mariana uses 6 boxes of fertilizer each box weighs 15 ounces How much fertilizer does she use in all
Step-by-step explanation:
Answer:
<u>A. Probability of Russell = 12/37 or 32.4% (Rounding to the next tenth)</u>
<u>B. Probability of Peter = 5/74 or 6.8% (Rounding to the next tenth)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
2. Russell is 5'9". What is the probability he is a forward?
Probability = Number of forwards under 6 feet/Total number of players
Probability = 120/370
Probability = 12/37 or 32.4% (Rounding to the next tenth)
3. Peter is 6'2". What is the probability he is a guard?
Probability = Number of guards over 6 feet/Total number of players
Probability = 25/370
Probability = 5/74 or 6.8% (Rounding to the next tenth)
Answer:
book 25; pen 8
Step-by-step explanation:
If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...
7b +4p = 207
5b +5p = 165
Multiply the second equation by 4/5 and subtract the result from the first equation:
(7b +4p) -4/5(5b +5p) = (207) -4/5(165)
3b = 75 . . . . simplify
b = 25 . . . . . divide by 3
Dividing the second equation by 5 gives ...
b + p = 33
Solving for p, we have ...
p = 33 -b = 33 -25 = 8
The cost of an exercise book is 25; the cost of a pen is 8.
