Answer:
23, 69 and 123
Step-by-step explanation:
let the first number be x then the second number is 3x ( 3 times the first) and the third number is x + 100 ( 100 more than the first number)
The sum of the three numbers is
x + 3x + x + 100 = 215
5x + 100 = 215 ( subtract 100 from both sides )
5x = 115 ( divide both sides by 5 )
x = 23
The 3 numbers are
x = 23, 3x = 3 × 23 = 69 and x + 100 = 23 + 100 = 123
Answer: P(t) = 600*(1.041)^t.
Step-by-step explanation:
An exponential growth can be written as:
P(t) = A*(1 + r)^t
Where:
A = initial population = 600
r = rate of growth in decimals = 4.1%/100% = 0.041.
t = number of units of time.
Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.
Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.
But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:
P(t) = 600*(1 + 0.041)^t
P(t) = 600*(1.041)^t.
9x + 2y = -38
9x+10y=26.
The system of equations can be solved using the method of elimination. The solution is x = -6 and y = 8.
To solve this system of equations, we can use the method of elimination. First, we'll multiply the first equation by 10 and the second equation by 2 to make the coefficients of x the same. This gives us:
Now, we can subtract the second equation from the first to eliminate y:
72x = -432
Dividing both sides by 72, we find x = -6.
Substituting this value of x into one of the original equations, we can solve for y:
9(-6) + 2y = -38
Simplifying, we get -54 + 2y = -38
Adding 54 to both sides, we have 2y = 16
Dividing both sides by 2, we find y = 8.
#SPJ3
Answer:
(-6 , 8 )
Hope this helps!
Answer:
$31.63 per hour
Step-by-step explanation:
$31.63 per hour
40 hour weeks × 52 weeks = 2080 hours
65,788/2080= 31.63
hope this helped,brainliest?
Answer:
2(x + 10)
Step-by-step explanation:
The perimeter is all the sides added together so you times the length by 2, (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) add them together
16 + 2x + 4
2x + 20
take out the highest common factor of 2
2(x + 10)