Answer:
Step-by-step explanation:
1 pound = 16 ounce
6 pound = 6 * 16 = 96 ounces
Cost of 96 ounces of grapes = $18
Cost of 1 ounce of grape = 18/96
Cost of 72 ounces of grape = 18*72 / 96 = 27/2
= $13.50
Or
Direct Proportion because is weight increase, the cost will increase
96:18 = 72 : x
Product of means = Product of extremes
18*72 = x*96
18*72/96 = x
x =$13.50
Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
7, is the part of the solution set because of the number it has inside of it. 8 years old worth of
Answer:
The probability is 1/28,561
Step-by-step explanation:
Here, we want to find the probability that each of the players will receive exactly one ace.
In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.
So, the probability of getting an ace for each of the four players will be 4/52 = 1/13
Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.
mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561
