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This is not 4 different problems.
It's the same problem 4 times.
The Rule: To find the unit rate, divide the price by the quantity.
Just like you wrote in pencil next to #6 and #8 .
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#6). Look at The Rule up above.
Unit price for Brand A: $4.80 / 32 oz = 15¢ per oz.
Unit price for Brand B: $5.76 / 48 oz = 12¢ per oz.
Unit price for Brand C: $17.92 / 128 oz = 14¢ per oz.
#7).
IF the price is the ONLY thing that's different about them, then Brand-B
is the best choice, because it's the lowest price per ounce.
BUT ... there may be other things to compare:
Do they all get your dishes equally clean ?
Do they all rinse off equally easily ?
Do they all smell the same ?
Do any of them attract bugs when they stand around ?
Do any of them spoil when they stand around open ?
You may want to consider other things besides the price
when you're deciding which detergent to buy.
#8). Look at The Rule up above again.
Unit rate for Regular size = $3.36 / 16 oz = 21¢ per oz.
Unit rate for Family size = $7.60 / 40 oz = 19¢ per oz.
<span>#9).
</span>Again ... IF the cost is the ONLY thing to think about, then the Family size
is the better buy, because it costs 2¢ less for every ounce.
But there may be other things to consider. Does the peanut butter from
both sizes taste the same ? Does one taste better ? Is the Family size
so big that it might be hard to handle, and you may drop it by accident ?
The answer will be the letter B
They have the same number of valence electrons which, in general, gives them similar oxidation numbers and other similar chemical and physical properties. The similarities are most pronounced in the groups at either side of the standard periodic table, and are least pronounced for the transition and rare earth elements.
Answer:
- hits the ground at x = -0.732, and x = 2.732
- only the positive solution is reasonable
Step-by-step explanation:
The acorn will hit the ground where the value of x is such that y=0. We can find these values of x by solving the quadratic using any of several means.
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<h3>graphing</h3>
The attachment shows a graphing calculator solution to the equation
-3x^2 + 6x + 6 = 0
The values of x are -0.732 and 2.732. The negative value is the point where the acorn would have originated from if its parabolic path were extrapolated backward in time. Only the positive horizontal distance is a reasonable solution.
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<h3>completing the square</h3>
We can also solve the equation algebraically. One of the simplest methods is "completing the square."
-3x^2 +6x +6 = 0
x^2 -2x = 2 . . . . . . . . divide by -3 and add 2
x^2 -2x +1 = 2 +1 . . . . add 1 to complete the square
(x -1)^2 = 3 . . . . . . . . written as a square
x -1 = ±√3 . . . . . . . take the square root
x = 1 ±√3 . . . . . . . add 1; where the acorn hits the ground
The numerical values of these solutions are approximately ...
x ≈ {-0.732, 2.732}
The solutions to the equation say the acorn hits the ground at a distance of -0.732 behind Jacob, and at a distance of 2.732 in front of Jacob. The "behind" distance represents and extrapolation of the acorn's path backward in time before Jacob threw it. Only the positive solution is reasonable.
