Answer:
Option C
Step-by-step explanation:
Given inequality is,
5x + 38 ≤ 4(2 - 5x)
5x + 38 ≤ 8 - 20x [Distributive property]
5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]
25x + 38 ≤ 8
(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]
25x ≤ -30
[Dividing by 25 on both the sides of the inequality]
x ≤ 1.2
Therefore, Option (C) will be the correct graph.
Number of times rolled = 300
Number of times landed with 6 = 33
<span>Experimental probability = 33/300 = 11/100
</span>
Answer: 11/100
Work out the number of hours in 1 year:-
1 year = 365*24 = 8760
So the number dying each hour = 31,000 / 8760 = 3.54
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
Answer: He sold 10 pounds of cashews .
Step-by-step explanation:
Since we have given that
Selling price of walnuts = $4.00 a pound
Selling price of cashews = $7.00 a pound
Number of pounds of walnuts = 10
Let number of pounds of cashew be x
Total price at which he sold a mixture = $5.50
According to question,

Hence, he sold 10 pounds of cashews .