Answer:
He used 30 words
Step-by-step explanation:
(8.40 - 6.00) divided by 0.08 = the number of words
The appropriate formula here is l = a + (n-1)d, where l represents the last term.
Here the first term is -5 and the common difference is +4. Thus,
l = -5 + (n-1)(4) (answer)
Check: we are given the arith sequence -5, -1, 3, 7. Does our formula correctly predict the 1st term? l = -5 + (1-1)(4) = > -5. Yes.
Does it correctly predict the 3rd term? l = -5 +(3-1)(4) => -5+2(4) = 3. Yes
Answer: 24 and 37
Step-by-step explanation:
Let the numbers be x and y . Also let us pick x as the larger number.
From the first statement :
x + y = 61 ............................ equation 1
From the second statement :
x = y + 13 ............................equation 2
Solving the resulting linear equations by substitution method, substitute x = y + 13 into equation 1, then
x + y = 61 becomes
y + 13 + y = 61
2y + 13 = 61
2y = 48
y = 24
Substitute y = 24 into equation 2 , then
x = y + 3 becomes
x = 24 + 13
x = 37
Therefore the numbers are 24 and 37
Answer:
They will find 69 viruses in 8 hours.
Step-by-step explanation:
The number of viruses after t hours is given by the following equation:
In which V(0) is the initial number of viruses and r is the decay rate, as a decimal.
They start with 500 viruses
This means that 
Decay rate of 22% per hour.
This means that 
So
How many viruses will they find in 8 hours?
This is V(8).
Rounding to the nearest whole number
They will find 69 viruses in 8 hours.
