Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 62 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

Answer:

They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.

Step-by-step explanation:

12-ounce

regular = 65%

mild = 35%

extra sharp zesty blend = 75%

extra sharp mild = 25%

8,100 mild for = $1.30

3,500 extra sharp = $1.50

cost blend and package = $0.30

regular sold = $1.8

zesty = $2.10

first we calculate the cost of each product

conversion Of  ounces to pounds:

1 pound = 16 ounces

regular cost:

12/16 pounds x 65% mild x $1.30

= 0.63375

12/16 pounds x 35% sharp x $1.50

= 0.39375‬

+ blend and package $0.30

total = $1.3275‬

contribution: $1.8 – $1.3275

= $0,4725‬

zesty cost:

12/16 pounds x 75% mild x $1.30

= 0.73125‬

12/16 pounds x 25% sharp x $1.50

= 0.28125‬

+ blend and package 0.30

total $1,3125‬

contribution: $2.10 – $1.3125

= $0,7875‬

to maximize profit:

profit = $0.4725Regular + $0.7875zetzy

adding the  constraint:

mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100

and

sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100

contribution generated by each product/pound:

                                 Regular        Zesty

CM                          $ 0.47250 $ 0.47250

Constrain resource

( pounds of mild)         0.48750 0.56250

CM per constrain        $ 0.9692 $ 1.4000

Constrain resource

( pounds of sharp)         0.26250 0.18750

CM per constrain           $ 1.80      $ 4.20

As zesty is better we produce as much as we can:

8,100 pounts / 0.5625 per cheese spreads: 14,400

check for possibilities of other constraint:

14,400 zesty packages x 0.1875 pounds each = 2,700 pounds

because it’s possible we only produce zetsy

profit = $0.4725 (0) + $0.7875 (14,400)

profit =  $ 11,340

Answer:

D.

Step-by-step explanation:

I got it right on the test.

Answer:

10^2

Step-by-step explanation:

Answer:

10²

Step-by-step explanation:

There are 2 "10's" being multiplied.

Answer:

send me your disc ill help

Step-by-step explanation:

Answer:

A. is the answer did you need an explanation

Answer:

13/2

Step-by-step explanation:

you do 6*2=12+1=13 which gives ya 13/2

you keep the denominator

Answer:

[tex](8x^2)^3\\= 512x^6[/tex]

You have to multiply the whole equation by cubed, since the parenthesis applies for the entire equation.

Answer:d

Step-by-step explanation: d

Answer:

allen

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

-3-1 = -4 = 4

8-1=7

4+7 = 11

Answer:

$135

Step-by-step explanation:

first divide 36 by 8

gives you how much you earn for one hour

36/8=4.5

then multiply

4.5 by amount of hours worked

so 4.5*30=135

The amount of money earned on a job for 30 hours is $135.

The amount of money earned on a job is directly proportional to the number of hours worked.

The amount of money earned for 8 hours of work is $36.

We need to determine the amount earned for 30 hours of work.

Let us determine the amount earned per hour.

Thus,

[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]

Therefore, the amount earned per hour is $4.5.

Now, multiply by 30 to get the amount earned for 30 hours.

Thus, the amount of money earned on a job for 30 hours is $135.

To know more about it, please refer to the link:

https://brainly.com/question/2146068

Answer:

(2, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then

midpoint = ( [tex]\frac{7-3}{2}[/tex], [tex]\frac{3-1}{2}[/tex] ) = ( [tex]\frac{4}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (2, 1 )

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}[/tex]

80x = 448

x = 5.6 miles

Answer:

A) 0

B) 0

C) 0

D) 0.5

Step-by-step explanation:

We are told that Men have XY (or YX) chromosomes and women have XX chromosomes

A) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;

{xX, YX, YX, xX}

The outcome for the son is;

{YX, YX}

The son will have the disease only if it's xY. Thus, probability of son having the disease is; 0/2 = 0

B) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;

{xX, YX, YX, xX}

The outcome for the daughter is;

{xX, xX}

The daughter will have the disease only if it's xx. Thus, probability of daughter having the disease is; 0/2 = 0

C) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;

{xX, xY, XX, XY}

Outcome for daughter is {xX, XX}

The daughter will have the disease it's xx. Thus, probability of daughter having the disease is; 0/2 = 0

D) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;

{xX, xY, XX, XY}

The male outcome is;

{XY, xY}

The son will have the disease only if it's xY. Thus, probability of son having the disease is; 1/2 = 0.5

Answer:

-The force on an object due to it's mass and gravity

Answer:

You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused

Step-by-step explanation:

Answer: one hundred and five over three

Step-by-step explanation:

Answer: 57 i did the test

Step-by-step explanation:

Answer with step-by-step explanation:

First, we have to find out how much paint Kevin used. We can write the equation as the following; 5/1 × 7/8 = 4 3/8. Now, we divide 4 3/8 by 4 to calculate how much paint will be used for each wall. 4 3/8 ÷ 4 = 35/32. So to finalize, Kevin used 35/32 gallons to paint each wall.

Hope this helped! (brainliest please)

Answer:

1 3/32 gallons

Step-by-step explanation:

This is 35/32 simplified which 35/32 simplified is the real answer!

Hope this helped :)

Answer:

Step-by-step explanation:

Answer:

seventy-three

Step-by-step explanation:

Answer:

μx = 17

σx = 2.2

Step-by-step explanation:

See attachment for full question.

Given:

μ = 17

σ = 22

[tex]n = 100\σ = 22[/tex]

Required

Determine (i) μx and  (ii) σx

Solving (i): μx

The mean of a sample means is calculated as thus:

μx = μ

Hence:

μx = 17

Solving (ii): σx

σx = σ/√n

So, we have:

σx = 22/√100

σx = 22/10

σx = 2.2

Answer:

45 mph = x

Step-by-step explanation:

Engineering manager professional, proficient in all levels of Math

SEE TUTORS LIKE THIS

Distance (D) = Rate (R) * Time (T)

For Car  A:  

D = 30T    {Eqn 1}

For Car B:

The Distance D and the time T is the same as for Car A

But, unlike Car A, Car B travels at two different rates.  It travels at 20mph for a time T1.  Then it passes Car A and travels at a rate of x for a period of time T2.

D = (20T1) + (x * T2)

Note that T2 must equal the total time T minus T1, so

D = (20T1) + (x * (T - T1))    {Eqn2}

Substitute Eqn 1 into Enq 2 :   30T = 20T1 + xT - xT1

Rewrite as:  30T = 20T1 + x(T-T1)  {Eqn 3}

At what point do the two cars pass one another?  

Car A travels 30T1  = D1

Car B is traveling in the opposite direction at 20T1 = D2

D2 = D - D1 (where D is the total circular length of the track)

Substituting, 20T1 = D - 30T1.   Or 50T1 = D   {Eqn 4}

Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4

D = 30T = 50T1

30T = 50T1

(30/50)T = T1

T1 = (3/5)T   {Eqn 5}

Now substitute Eqn 5 into Eqn 3

30T = 20T1 + x (T-T1)

30T = 20(3/5)T+ x (T - 3/5 T)

30T = 12T +  xT(2/5)

18T = (2/5)x

(5/2)18 = x

45 mph = x

Recall that x is the speed that Car B must travel after it passes Car A.

Let's use the point-slope formula to write the equation of this line.

The point-slope formula is y - y₁ = m(x - x₁).

In the formula, x₁ and y₁ are points and the m is our slope

Now let's substitute.

y + 2 = -3/2(x - 6).

Notice that I put y + 2 above since y - (-2) means y + 2.

Now distribute the -3/2 through the parentheses.

This gives us -3/2x + 9.

Bring down your y + 2 and we have y + 2 = -3/2x + 9.

To put this in standard form, we need to multiply both

sides by 2 because we can't have any fractions.

This gives us 2y + 4 = -3x + 18.

Now move the +4 to the right by subtracting

4 from each side to get 2y = -3x + 14.

Now move your x term to the right by adding 3x to both sides.

So our final answer reads 3x + 2y = 14.

Answer:

[tex]\boxed{x=10}[/tex]

Step-by-step explanation:

We are given two angles, which together, have a sum of 90°. We call these complementary angles. The angle ∠EAF is the complement of angle ∠FAB and vice versa.

Therefore, because they sum up to be 90°, we can simply add the angles together and solve for x this way.

[tex]4x+5x=90\\\\9x = 90\\\\\frac{9x}{9} = \frac{90}{9}\\\\\boxed{x = 10}[/tex]

The variable x equals 10. We can go even further to check and verify that this is correct by substituting our original value for x into the equation.

[tex]4(10)+5(10)=90\\\\40 + 50 = 90\\\\90 = 90[/tex]

90 does in fact equal 90, so your final answer is x = 10°.

Hope this helps! :)

Answer:

81,000,000

Step-by-step explanation:

(3²)² × (10³)²

(9)² × (1000)²

81 × 1000000

81,000,000

Answer:

1000081

Step-by-step explanation:

=3^6+10^6

=81+1,000,000

Answer:

the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0

Step-by-step explanation:

Answer:

I got you, 81 = 97 or 81, is a rational number.

Step-by-step explanation:

A rational number, denoted by Q is a number which can be written in the form. 81 can be expressed as 811 where both 81 and 1 are integers.