Answer:
5. ST 6. AT
Step-by-step explanation:
For a product to be divisible by a number, one of the factors must be that number. This can be achieved by one of the consecutive numbers being that number, or a multiple of that number.
5. 4 x 5 x 6 = 120 which is divisible by 5
1 x 2 x 3 = 6 which is not divisible by 5
6. 1 x 2 x 3 = 6 which is divisible by 6
2 x 3 x 4 = 24 which is divisible by 6
3 x 4 x 5 = 60 which is divisible by 6
4 x 5 x 6 = 120 which is divisible by 6
And now we will just repeat ourselves.
The answer is: [A]: " 20a − 5b − 9 " .
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Explanation:
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(12a <span>+ 7b) + (−6a − 9) + (14a − 12b) =
12a </span><span>+ 7b + 1(−6a − 9) + 1(14a − 12b) =
</span>
12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =
12a + 7b − 6a − 9 + 14a − 12b = ?
Combine the "like terms:
12a − 6a + 14a = 20a ;
7b − 12b = - 5b ;
and then we have "-9" ;
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So, write as: " 20a − 5b − 9 " ; which is: Answer choice: [A].
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Answer:
y = -2/3x + 6
Step-by-step explanation:
The general form of a solution of the differential equation is already provided for us:
where 
. We now want to find a solution 
such that 
and 
. Therefore, all we need to do is find the constants 
and 
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative 
first. In this case, we have:
Therefore:
This means that we must solve the following system of equations:
If we add the equations above, we get:
If we now substitute 
into either of the equations in the system, we get:
This means that the solution obeying the initial conditions is:
Indeed, we can see that:
which do correspond to the desired initial conditions.
6 pounds.
First, find the amount she spent. 70 - 18.88 = 51.12
Now, just divide 51.12 by the cost per pound. 51.12 / 8.52 = 6
So, Karen purchased 6 pounds of coffee.
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