Given the table below comparing the marginal benefit Lucinda gets from
Kewpie dolls and Beanie Babies.
![\begin{tabular} {|p {2cm}|p {2cm}|p {2cm}|p {2cm}|} \multicolumn {4} {|c|} {Lucinda's Kewpie Doll and Beanie Baby Marginal Benefits}\\[1ex] \multicolumn {2} {|c|} {Kewpie Dolls}&\multicolumn {2} {|c|} {Beanie Babies}\\[1ex] 1&\$15.00&1&\$12.00\\ 2&\$12.00&2&\$10.00\\ 3&\$9.00&3&\$8.00\\ 4&\$6.00&4&\$6.00\\ 5&\$3.00&5&\$4.00\\ 6&\$0.00&6&\$2.00\\ \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7C%7D%0A%5Cmulticolumn%20%7B4%7D%20%7B%7Cc%7C%7D%20%7BLucinda%27s%20Kewpie%20Doll%20and%20Beanie%20Baby%20Marginal%20Benefits%7D%5C%5C%5B1ex%5D%0A%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BKewpie%20Dolls%7D%26%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BBeanie%20Babies%7D%5C%5C%5B1ex%5D%0A1%26%5C%2415.00%261%26%5C%2412.00%5C%5C%0A2%26%5C%2412.00%262%26%5C%2410.00%5C%5C%0A3%26%5C%249.00%263%26%5C%248.00%5C%5C%0A4%26%5C%246.00%264%26%5C%246.00%5C%5C%0A5%26%5C%243.00%265%26%5C%244.00%5C%5C%0A6%26%5C%240.00%266%26%5C%242.00%5C%5C%0A%5Cend%7Btabular%7D)
<span>If
lucinda has only $18 to spend and the price of kewpie dolls and the
price of beanie babies are both $6,
Lucinda will buy the combination for which marginal benefit is the same.
Therefore, Lucinda will buy </span><span>2 kewpie dolls and 1 beanie baby,</span><span>
if she were rational.</span>
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is attached.</h3>
You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
Finally, evaluating, you get that the volume of the box is:
Simplify the following:
(25/a - a l)/(a + 5)
Put each term in 25/a - a l over the common denominator a: 25/a - a l = 25/a - (a^2 l)/a:
(25/a - (a^2 l)/a)/(a + 5)
25/a - (a^2 l)/a = (25 - a^2 l)/a:
Answer: ((25 - a^2 l)/a)/(a + 5)
The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
can be equal to zero as well as
. This is because, even if only one of them is zero, the product will immediately be zero.
The zero product property is best applied to
factorable quadratic equations in this case.
Another factorable equation would be
since we can factor out
and end up with
. Now we'll end up with two factors,
and
, which we can apply the zero product property to.
The rest of the options are not factorable thus the zero product property won't apply to them.
