Answer:
25
Step-by-step explanation:
So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.
So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"
So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145
So we can substitute the variables we defined to express Cameron and Hassan's age: 
Distribute the 5: 
Add like terms: 
Subtract 1 from both sides: 
Divide both sides by 6: 
Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25
Answer:
$3.51
Step-by-step explanation:
1 pound is $2.39 so divide by 2 and round up to the nearest whole number which is $1.12. Add $1.12(The cost of 0.5 pounds) to $2.39(The cost of 1 pound) to get $3.51 as your total.
In cylindrical coordinates, we have 
, so that
correspond to the upper and lower halves of a sphere with radius 
. In spherical coordinates, this sphere is 
.
means our region is between two cylinders with radius 1 and . In spherical coordinates, the inner cylinder has equation
This cylinder meets the sphere when
which occurs at
where 
. Then 
.
The volume element transforms to
Putting everything together, we have
R(t) = 4t
A(r) = π(r^2)
a) A(t) = A[r(t)] = π[r(t)]^2 = π[4t]^2 = 16π(t^2)
b) t = 4,
A(4) = 16*3.14*(16)^2 = 12,861.44
Answer:
t=7/5
Step-by-step explanation:
If you subtract 3 from each side, you end up with -5t=-7. In order to keep t isolated, you would have to divide -5 on both sides. When you do this, you will end up with t= -7/-5. You also need to simplify that. When simplified you end up with t=7/5. Hope this helps!
