B. if lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6, how many of each would lucinda buy if she were rational? 0 kewpie dolls and 3 beanie babies 3 kewpie dolls and 0 beanie babies 2 kewpie dolls and 1 beanie baby 1 kewpie doll and 2 beanie babies

Answers

Answer 1

Given the table below comparing the marginal benefit Lucinda gets from Kewpie dolls and Beanie Babies.

[tex]\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}[/tex]

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 2 kewpie dolls and 1 beanie baby, if she were rational.

Answer 2

Lucinda can rationally choose to buy 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies, as all combinations fit within her $18 budget. The prices for each are $6.

In order to determine how many Kewpie dolls and Beanie Babies Lucinda can buy, we need to explore her budget constraint. Lucinda has $18 to spend, and the prices of both Kewpie dolls and Beanie Babies are $6 each. We can calculate the maximum possible combinations of each that fit within her budget.

If Lucinda buys 0 Kewpie dolls and 3 Beanie Babies, she spends $0 + $18 = $18.If Lucinda buys 3 Kewpie dolls and 0 Beanie Babies, she spends $18 + $0 = $18.If Lucinda buys 2 Kewpie dolls and 1 Beanie Baby, she spends $12 + $6 = $18.If Lucinda buys 1 Kewpie doll and 2 Beanie Babies, she spends $6 + $12 = $18.

All these combinations maximize her budget, so any of these options could be rational depending on her preference. Therefore, Lucinda could rationally choose to buy any of the following combinations: 0 Kewpie dolls and 3 Beanie Babies, 3 Kewpie dolls and 0 Beanie Babies, 2 Kewpie dolls and 1 Beanie Baby, or 1 Kewpie doll and 2 Beanie Babies.

Related Questions

how do i solve 2 1/7 ÷ 1 1/4

Answers

First find the value of both mixed numbers as improper fractions.
2 1/7= 15/7.
1 1/4= 5/4

To divide fractions, multiply the first number by the reciprocal of the other. To multiply fractions, multiply the numerators and the denominators together.

(15/7)* (4/5) = 60/35

60/35= 12/7

Final answer: 12/7 or 1 5/7

Find the derivative of f (x)=(x^2+1)^3 (x^2+2)^6 using chain rule.

Answers

hello :
note :( (u(x))^n)' = n(u(x))^n-1 × (u(x))'
f (x)=(x^2+1)^3 (x^2+2)^6
the derivative is : f"(x) = ((x^2+1)^3)' (x^2+2)^6 + (x^2+1)^3 ((x^2+2)^6)'
f'(x) = 3×2x(x^2+1)² (x^2+2)^6 + (x^2+1)^3 (6×2x)(x^2+2)^5

The sum of the square of a positive number and the square of 5 more than the number is 37. What is the number?

Answers

Writing this info out symbolically:

x^2 + (x+5)^2 = 37
Expanding, x^2+x^2+10x +25=37, or 2x^2+10x-12=0.
Reducing, x^2+5x-6=0. factoring, (x-1)(x+6)=0
Solving for x: x-1=0 results in x=1; x=6=0 results in x=-6.

We want only a positive result, so choose x=1 and discard x=-6.

Alan is 14 years old. This is twice as old as his brother James. How old is James?

Answers

Just divide 14 by two to find out how old James is.

James is 7.

alan=14

alan is twice as old as his brother
alan=2 times brother
14=2 times brother (james)
divide both sides by 2
7=brother (james)
james is 7 years old

A 3x3x4 cuboid is painted blue and cut into 1x1 cubes. what is the expected value for the painted sides of a randomly selected cube?

Answers

A 3 x 3 x 4 cuboid can be cut into 3(3) (4) = 36 pieces of 1 x 1 cubes.

Out of the 36 pieces of 1 x 1 cubes, there are no 1 x 1 cube with the four sides painted, there are eight 1 x 1 cubes with simply 3 sides painted, there are twenty 1 x 1 cubes with only 2 sides tinted, there are 6 cubes with only 1 side painted and there are 2 cubes with no side painted.

The chance that the four sides of a randomly selected cube is painted is 0.

The likelihood that only 3 sides of a randomly selected cube is painted is 8 / 36 = 2 / 9.

The chance that only 2 sides of a randomly selected cube is painted is 20 / 36 = 5 / 9.

The likelihood that only 1 side of a randomly selected cube is painted is 6 / 36 = 1 / 6.

The probability that no side of a randomly selected cube is painted is 2 / 36 = 1 / 18.

Thus, the expected value for the painted sides of a randomly selected cube is given by 4(0) + 3(2 / 9) + 2(5 / 9) + 1(1 / 6) + 0( 1 / 18) = 2 / 3 + 10 / 9 + 1 / 6 = 35 / 18 = 1.94

How many cups of whole wheat flour does it take to make 30 biscuits if it takes 2 cups of whole wheat flour to make 8 biscuits

Answers

2/8 = x / 30...2 cups to 8 biscuits = x cups to 30 biscuits
cross multiply
(8)(x) = (30)(2)
8x = 60
x = 60/8
x = 7.5 (or 7 1/2) cups <==

30/8 = 15/4... 15/4 x 2 = 7.5
The answer is 7.5

what is 8x-27-10-6x=15

Answers

8x-27-10-6x=15
2x-37=15
2x=15+37
2x= 52
x=26

First, simplify on the left side to get:
2x - 37 = 15
Then, add 37 to each side to get:
2x = 52
Lastly, divide each side by 2 to get:
x = 26

Hope this helps!! :)

A coffeepot contains 1 1/2 quqarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1/2 cups of coffee still remain in the pot. How much coffee did Tonya pour into each cup?

Answers

[tex]\bf 1\frac{1}{2}\implies \cfrac{1\cdot 2+1}{2}\implies \cfrac{3}{2}\quad \textit{now, how much is a quart of that?} \\\\\\ \cfrac{3}{2}\cdot \cfrac{1}{4}\implies \stackrel{of~coffee}{\cfrac{3}{8}}\impliedby makes\quad \stackrel{poured}{2cups}+\stackrel{remaining}{3\frac{1}{2}cups}\implies 5\frac{1}{2}~cups[/tex]

[tex]\bf \textit{now if }\frac{3}{8}\textit{ of coffee makes }5\frac{1}{2}\textit{ cups, how much in 1 cup?} \\\\\\ \cfrac{\quad \frac{3}{8}\quad }{5\frac{1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{5\cdot 2+1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{11}{2}}\implies \cfrac{3}{8}\cdot \cfrac{2}{11}\implies \stackrel{\textit{of coffee makes one cup}}{\cfrac{3}{44}}[/tex]

At a recent boat show, Boater's Paradis sold five more boats than Pelican Marine sold. If together they sold 33 boats, how many were sold by each company?

Answers

Paradise = 19 Pelican = 14

Final answer:

In this mathematics problem about boat sales, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats. This conclusion was achieved by forming and solving a simple algebraic equation based on the provided problem information.

Explanation:

To solve this problem, let's visualize it first. Pelican Marine sold a certain number of boats, and Boater's Paradis sold 5 more than that. If we call the number of boats sold by Pelican Marine as x, and adding Boater's Paradis' sales (x + 5), together they sold 33 boats. So we form the equation as x + (x+5) = 33.

Solving that equation, we will get 2x + 5 = 33, then simplify it to 2x = 28 after subtracting 5 from both sides. Finally, we divide both sides by 2 we get x = 14.

So, Pelican Marine sold 14 boats and Boater's Paradis sold 19 boats (14 boats Pelican Marine sold plus an additional 5 Boater's Paradis sold).

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How do I use the info given in the table to figure out the answers?

Answers

This is how you interpret the data and use it to solve the problem.

You can do this as direct proportion problem.

The number of gallons filled is proportional to the number of hours, and the rate of filling is:

rate = number of gallons / number of hours

From the two data in the second column you have:

number of hours = 3/4 h = 0.75 h

number of gallons = 637 + 1/2 gallons = 637.5 gallons

=>rate = 637.5 gal / 0.75 h = 850 gal/h

In the second column you have the number of hours and want to find the number of gallons, so assuming direct proportionality:

number of hours = 1/4 = 0.25

rate = 637.5 / 0.75 = x / 0.25

=> x = 0.25 * rate = 0.25 h * 850 gal/h = 212.5 gallons.

And from the third column:

number of hours = 1 + 1/2 hours = 1.5 hours

rate = x / 1.5 => x = 1.5h * rate = 850gal/h * 1.5h = 1275 gallons

With that you have already solved a. and b.

You should know how to answer c. and d. This is how:

c. number of gallons = 5.5 hours

number of gallons = rate * number of hours = 850 gal/h * 5.5 h = 4675 gal.

d. number of gallons = 100 gal

rate = 100 gal / number of hours => number of hours = 100 gal / rate

=> number of hours = 100 gal / 850 gal/h = (2/17) h

Pass to minutes => (2/17) h * 60 min/h ≈ 7 min

Student to faculty is 17:3 The total is 740 how many students and faculty are at the college

Answers

Let the faculties be X and the number of students be Y.
X/Y = 17/3
3X= 17Y
X=17Y/3
Let that be equation 1
We also know that X+Y = 740. Let it be equation 2
Substitute equation 1 in equation 2
(17Y/3)+Y= 740
20Y/3 = 740
Y=111
Since the total is 740, then X equal 740-111 =629.
The number of faculties is 111 and the number of students is 629.

17+3 =20

so for every 20 people there are 17 students and 3 faculty

740/20 = 37

37*3 = 111 faculty

37 *17 = 629 students

7times blank equals 56

Answers

the answer would be 8. hope that helped

When you know one factor and the product, divide the product by the known factor to get the missing factor.

56/7=8
Final answer: 8

Identify the percent of change as an increase or a decrease. 68 miles to 42.5 miles

Answers

This is a decrease of 68 - 42.5
------------ = 0.375 = 37.5% decrease
68

Final answer:

The distance changing from 68 miles to 42.5 miles represents a 37.5% decrease, calculated using the percent change formula.

Explanation:

The question involves calculating the percent of change when the distance changes from 68 miles to 42.5 miles. To find the percent of change, we use the formula: Percent Change = ((New Value - Original Value) / Original Value) x 100%. Here, the original value is 68 miles and the new value is 42.5 miles.

Plugging in the values, we get: Percent Change = ((42.5 - 68) / 68) x 100% = (-25.5 / 68) x 100% ≈ -37.5%. Because the result is negative, this indicates a decrease in the distance traveled.

Therefore, the distance changing from 68 miles to 42.5 miles represents a 37.5% decrease.

Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old. If the equation t – 3.5 = 22.5 models the situation, find the value for t, Terrance’s age.

Answers

Answer:

T= 3.5+22.5

T=26

Hope I helped!!

Step-by-step explanation:

The Age of Terrance is 26 years.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Model Equation : t – 3.5 = 22.5

where t is Terrance’s age.

Now, solving the equation for t we get

t - 3.5 = 22.5

Add 3.5 on both side

t -3.5+ 3.5 = 22.5 + 3.5

t = 26

Hence, Terrance age is 26 years.

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1)Solve for x.
5+x+(−2)=−8

2)Solve for h.
6.51−9.32+h=1.02

3)Solve for y.

2/3+y−1/9=7/9 ( the ones with slashes are fractions (: )

4 )Solve for x.

−2/3(3x−4)+3x=5/6
5)
What is the value of s?

0.7(3s+4)−1.1s=7.9

Answers

I found 1 and 2. x equals -11 and h=-3.85.

see attached picture for answers:

replaced picture with correct answer for #1

(a) find the slope m of the tangent to the curve y = 5/ x at the point where x = a > 0.(b) find equations of the tangent lines at the points (1, 5) and 4, 5 2 .

Answers

(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2). (b) x=1, y=5ďĽŚand m=-5, the tangent line is y-5=-5*(x-1). x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)

Find all 6 trigonometric ratios of the angle θ =7∏/ 6

Answers

check the picture below, those are the x,y pairs or cosine, sine values pair.

[tex]\bf sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\ -------------------------------\\\\ cos\left( \frac{7\pi }{6} \right)=\cfrac{\stackrel{adjacent}{-\sqrt{3}}}{\stackrel{hypotenuse}{2}}\qquad \qquad sin\left( \frac{7\pi }{6} \right)=\cfrac{\stackrel{opposite}{1}}{\stackrel{hypotenuse}{2}}[/tex]

now, this is from the Unit Circle, and therefore the hypotenuse or radius wil be 1.

[tex]\bf \begin{cases} adjacent=&-\frac{\sqrt{3}}{2}\\ opposite=&\frac{1}{2}\\ hypotenuse=&1 \end{cases}\\\\ -------------------------------\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad cos(\theta)=\cfrac{adjacent}{hypotenuse} \quad % tangent tan(\theta)=\cfrac{opposite}{adjacent} \\\\\\ % cotangent cot(\theta)=\cfrac{adjacent}{opposite} \qquad % cosecant csc(\theta)=\cfrac{hypotenuse}{opposite} \quad % secant sec(\theta)=\cfrac{hypotenuse}{adjacent}[/tex]

so, just plug in those values... hmmm lemme do the tangent, so you see the division of two fractions.

[tex]\bf tan\left( \frac{7\pi }{6} \right)=\cfrac{sin\left( \frac{7\pi }{6} \right)}{cos\left( \frac{7\pi }{6} \right)}\implies tan\left( \frac{7\pi }{6} \right)=\cfrac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}}\implies tan\left( \frac{7\pi }{6} \right)=\cfrac{1}{2}\cdot \cfrac{2}{-\sqrt{3}}[/tex]

[tex]\bf tan\left( \frac{7\pi }{6} \right)=\cfrac{1}{-\sqrt{3}}\impliedby \textit{now, let's \underline{rationalize} the denominator} \\\\\\ \cfrac{1}{-\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{-(\sqrt{3})^2}\implies -\cfrac{\sqrt{3}}{3}[/tex]

three numbers are in the ratio 2:3:4 if the sum of the largest and the smallest equals the sum of the third and 33 find the numbers

Answers

2x+4x=3x+33
3x=33
x=11

So the numbers are 22, 33 and 44

C. what is the probability that the flight will be more than 10 minutes late (to 2 decimals)?

Answers

try c for your answer

For questions #6-8, use this data set and show your work  5, 10, 12, 4, 6, 11, 13, 5

Calculate the mean.
Type answer here

Calculate the median.
Type answer here

Calculate the mode.

Answers

mean (average) can be found by adding up all the numbers and then dividing that by how many numbers there are.
(5+10+12+4+6+11+13+5) / 8 = 66/8 = 8.25 <==

the mode (the number used most often) = 5....just so u know, there doesn't have to be a mode, and sometimes there is more then 1 mode. But for this one, the mode is 5. <==

median (the middle number)...for this, u put the numbers in order...
4,5,5,(6,10),11,12,13
now start moving from both ends going inward until u find the middle number...keep in mind, when u have an odd number of numbers, u will have 1 middle number.....but when there is an even number of numbers, like in this case, u will have 2 middle numbers...so u take ur 2 middle numbers, add them, then divide by 2 to get ur median.
median = (6 + 10) / 2 = 16/2 = 8 <==

Figure ABCD is a parallelogram. What is the value of n?
3
5
17
25

Answers

Opposite angles are euql therefore:-

2n + 32 = 4n - 2
34 = 2n
n = 17 answer

Answer: the answer to this question is

choice c. 17

Connor drives an an eighteen-wheeler. It cost Conner $456 to fill the truck up with diesel fuel. If diesel fuel cost $3 a gallon, how many gallons of fuel were bought?

Answers

152 because if you divide 456 by 3 you get 152

You just divide 456 by 3 which is 152gallons

A student measured the lead content of a paint sample 4 times. the standard deviation of the measurements was found to be 1.1% of the average. can this student be 90% confident that the true value is within 1.8% of the measured average?

Answers

yes. 1.8% is 1.8/1.1 = 1.64 standard deviations from the mean. So looking at the table of standard deviation and confidences, I see for the 90% value a value of 1.644854Ď which is slightly higher than the computed value of 1.64. So yes, the student can be 90% confident that the true value is within 1.8% if the measured average.

solve the system by elimination -2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answers

-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Adding the third equation to the second and first, we get
5y+6z=5
2y+4z=2

Multiplying the second equation by -6/4 and adding, we get
2y=2 and y=1 by dividing both sides by 2. Plugging y=1 into 2y+4z=2, we get 2+4z=2 and by subtracting 2 from both sides we get 4z=0=z. PLugging y=1 and z=0 into -2x-y+z=-3, we get -2x-1+0=-3 and by adding 1 to both sides, we get -2x=-2 and by dividing both sides by -2, we get x=1

The solution of the given system of linear equation would be x = 1, y = 1, and z = 0.

What is a linear equation?

A linear equation is one in which the greatest power of the variable is always one.

The given system of linear equation as:

-2x+2y+3z=0 ...(i)

-2x-y+z=-3 ...(ii)

2x+3y+3z=5 ...(iii)

Adding the third equation to the (i) and (ii), we get

5y+6z=5

2y+4z=2

Multiplying the equation(ii) by -6/4 and after adding to get

⇒2y=2

Dividing both sides by 2.

⇒y=1

Substitute the value of y=1 into 2y+4z=2, and we get

⇒2+4z=2

Subtracting 2 from both sides, we get

⇒ z = 0

Substitute the values of y=1 and z=0 into -2x-y+z=-3, we get -2x-1+0=-3

By adding 1 to both sides, we get -2x=-2

By dividing both sides by -2, we get x=1

Therefore, the solution of the given system of linear equation would be x = 1, y = 1, and z = 0.

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Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is C(x) = 2750 + 8x + 0.1x2 (0 ≤ x ≤ 500). Gymnast Clothing sells the cleats at $100 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit?

Answers

Answer:

Revenue function: [tex]R(x)=100x[/tex]

Profit function: [tex]P(x)=-0.1 x^2 + 92 x - 2750[/tex]

31 to 500 Gymnast Clothing are manufactured to make a profit.

Step-by-step explanation:

The cost (in dollars) for a run of x pairs of cleats.

[tex]C(x)=2750 + 8x + 0.1x^2[/tex]

Gymnast Clothing sells the cleats at $100 per pair.

The Revenue (in dollars) for a run of x pairs of cleats.

[tex]R(x)=100x[/tex]

Profit = Revenue - Cost

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=100x-(2750 + 8x + 0.1x^2)[/tex]

[tex]P(x)=-0.1 x^2 + 92 x - 2750[/tex]

We need to find how many should Gymnast Clothing manufacture to make a profit.

[tex]P(x)\geq 0[/tex]

[tex]-0.1 x^2 + 92 x - 2750\geq 0[/tex]

From the given figure it is clear that P(x) is greater than or equal to 0 for 30.931 ≤ x ≤ 889.069.

The value of x can not be more than 500.

31 ≤ x ≤ 500

31 to 500 Gymnast Clothing are manufactured to make a profit.

Agnes scored 87 on the first test 73 on the second test, 81 on the third test. supoise Agbes has one more test in the semester ajd wants to finish with a mean of at least 80. what does she need to get on her last test?

Answers

87+73+81+x=4*80, find x

What is the value of x?

3x−8=(8x+4
-----
2

Answers

3x-8 = 8x+4

subtract 3x from each side

-8 = 5x+4

subtract 4 from each side

-12 = 5x

divide -12 by 5 to get x

x = -12/5 = -2.4

Given that (-2,-5) is on the graph of f(x), find the corresponding point for the function f(-2/3x).

Answers

f(cx) can be expressed as: point (a,b) goes to (a/c,b)
Then f(-2/3x) for point (-2,-5) is ((3/-2)(-2),-5) = (3,-5)

The corresponding point for the function f(-2/3x) given the point (-2,-5) on the graph of f(x) is (3,-5), where the x-coordinate is transformed by multiplying -2 by -3/2 and the y-coordinate remains unchanged.

The question asks about finding a corresponding point for the function f(-2/3x) given that the point (-2,-5) is on the graph of the original function f(x). To find the corresponding point, we need to apply the transformation to the x-coordinate of the given point. Since the function is f(-2/3x), this represents a horizontal stretch by the reciprocal of -2/3, which is -3/2. Therefore, we multiply the x-coordinate of the given point by -3/2.

Let's calculate this step by step:

Start with the original point (-2,-5).Apply the transformation to the x-coordinate: -2 multiplied by -3/2 equals 3.The y-coordinate remains unchanged because the transformation applies only to the x-coordinate.
So the corresponding point on the graph of the function f(-2/3x) based on the point (-2,-5) from f(x) is (3,-5).

Thirty-eight fifth graders at Vernon Elementary are going on the field trip to the art museum. They are riding in vans that each hold 9 students. How many vans will they need for everyone to get to the art museum?

Answers

38 / 9 = 4 R 2
4 vans will hold 9 students, and one bus will hold 2 students.

The division is a process of splitting a specific amount into equal parts.

The number of vans they will need for everyone to get to the art museum is 5.

What is division?

The division is a process of splitting a specific amount into equal parts.

We have,

Number of five grader students = 38

One van can hold = 9 students.

The number of vans needed to hold 38 students:

= 38 / 9

= 4.2 vans

This means we need 5 vans to accommodate all 38 students because in 4 vans only 36 students will be accommodated and 2 students remaining will need a van.

Thus the number of vans they will need for everyone to get to the art museum is 5.

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Anyone know the answers to these questions? If so please answer them and show work, correct answers will receive Brainliest

Answers

Sent you a picture of the solutions.

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