Answer:
Step-by-step explanation:
Total Volume of Water =
Volume drunk by James =
Volume drunk by Simon =
Volume drunk by Matthew =
Volume drunk by Gilbert =
Total Volume Drunk (i.e. The Sum) =
Volume of water Left = Total Volume of Water-Total Volume Drunk
=
Answer:
9x -2
Step-by-step explanation:
(7x + 3) + (4x - 1) - (2x + 4)
Distribute the minus sign
(7x + 3) + (4x - 1) - 2x - 4
Combine like terms
7x+4x-2x +3 -1-4
9x -2
Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is . This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
-70
Step-by-step explanation:
Answer:
If 0.25 oz of yeast is used, then 50oz of flour is needed.
It would require 0.5 oz of yeast for 90 oz the flour.
Step-by-step explanation:
We know that the proportion of yeast (y) and flour (f) is 1: 200 when a maximum of 30 servings of bread is made. This is:
So if we use 0.25 oz of yeast:
if 0.25 oz of yeast is used, then 50oz of flour is needed.
If you make 60 servings of bread with 90 oz. Of flour, then you should keep the following ratio:
So, if we use f = 90 0z of flour:
It would require 0.5 oz of yeast.