Answer:


Step-by-step explanation:
Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.
Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.
i.e. Cost of 'c' chocolate chip cookies = 6c
Cost of b butter cookies = 7b
She must sell at least 30 boxes of cookies and at least $175 worth of cookies.
i.e. 

Thus , the system of inequalities models this situation :


We have been given that Susan has a 12-inch board for constructing a wooden chair.The directions say to use a board that is 29 centimeters long. We are asked to determine if Susan's board is long enough to cut or not.
We know that 1 inch is equal to 2.54 cm.
Let us convert 12 inches into cm by multiplying 12 by 2.54.


Since 12 inches is equal to 30.48 centimeters and 30.48 is greater than 29, therefore, Susan's board in long enough to cut.
Answer:
A. The data show a negative linear relationship.
Step-by-step explanation:
According to the attached image as we can see that the temperature is in Y axis and volume of ice cubes is in X axis
So the following statements considered to be true
a. The volume represents the explanatory variable
b. Temperature would be strongly correlated to the ice cubes volume
c. As the correlation coefficient is near to -1
But it does not show the negative linear relationship
Therefore the correct option is a.
Answer:
c. 
Step-by-step explanation:
Since the divisor is in the form of
, use what is called Synthetic Division. Remember, in this formula, <em>-c</em> gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 3 −11 −4
↓ 12 4
_______________
3 1 0 → 3x + 1
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [3x² - 11x - 4]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, and the 1 follows right behind it, giving you the quotient of
.
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