-8x+4y<span>≥-52
Add 8x to both sides:
</span>-8x+8x+4y≥8x-52
Now we have:
4y≥8x-52
Divide everything by 4.
Final answer:
y≥4x-13
<span>For the answer to the question above,
4 shovels of sand are used for every 5 shovels of gravel
4s : 5g
How many shovels of gravel are needed for 64 shovels of sand?
64s : Xg
We need to calculate the value of X
4s : 5g
</span><span>64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
80 shovels of gravel are needed.</span>
Let x and y be the two numbers.
x = y - 4
2y = 5x - 10
solve the system of equations:
2y = 5(y - 4) - 10
2y = 5y - 20 - 10
-3y = -30
y = 10
x = 10 - 4 = 6
Answer:
event A and B are independent because P(A and B) = P(A) x P(B) = 0.15
Step-by-step explanation:
When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;
P(A and B) = P(A) x P(B)
Given;
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
Now, let's check if P(A and B) will be equal to P(A) x P(B)
P(A) x P(B) = 0.25 x 0.60 = 0.15
P(A and B) = P(A) x P(B), thus event A and B are independent.
