Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:
Step-by-step explanation:
The sum is larger than 9, it means we have: 10, 11, and 12
- To get the outcome is 12, we have only one way is that the two dice shows face-6. The probability to have 12 is:
P(12) = 
= 
- To get 11, we have it two ways once dice shows face-5 and the other shows face-6 and vice versa
P(11) = 2* = 
- To get 10, we have it three ways ( once dice shows face-5 and the other shows face-6 and vice versa , two dice show 5)
P(10) = 3* = 
So the probability of getting a number larger than 9 for the first time on the third roll is:
P(12) + P(11) +P(10 )
= + + =
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer:
Unknown weight is 11.5kg.
Step-by-step explanation:
Square weight is 4kg. 4×5 =20.
Round weight is 2.5kg. 2×4+2×2.5=13.
Left pan is 4+3×2.5=4+7.5=11.5.
