A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. How many batches of bread and muffins should be made to maximize profits?

4 batches of bread and 0 batches of muffins
4 batches of bread and 0 batches of muffins

2 batches of bread and 16 batches of muffins
2 batches of bread and 16 batches of muffins

4 batches of bread and 10 batches of muffins
4 batches of bread and 10 batches of muffins

1 batch of bread and 12 batches of muffins

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

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Answer:

Only one equation fits all the information on the table which is:

y = 1/6x

Answer:

y = 1/6x

Step-by-step explanation:

To find the equation, let's see if each option works by plugging in x into each equation.

y = –1/4x

Plug -6 into x

y = –1/4(-6)

y = 1.5

y = –1/4x doesn't work because we didn't get -1.

y = 6x

Plug -6 into x

y = 6(-6)

y = -36

y = 6x doesn't work because we didn't get -1.

y = 1/6x

Plug 1/6x into x

y = 1/6(-6)

y = -1

Let's see if the other x values work.

Plug 0 into x

y = 1/6(0)

y = 0

Plug 12 into x

y = 1/6(12)

y = 2

y = 1/6x works.

y = –2x

Plug -6 into x

y = –2(-6)

y = 12

y = -2x doesn't work because we didn't get -1.

y = 1/6x is the only linear equation that worked and got all y values, so that is your answer.

Hope that helped and have a lovely rest of your day!

Answer:

Step-by-step explanation:

s = d/t = 100/2.5

She will lease out 21 apartments in the month of October.

We are given that a leading agent leases 15 apartments in the month of September.

Number of apartments in the month of September = 15.

Now, it is also given that she leases 40 % more apartment in the next month that is October.

Number of apartments in the month of October. = 15 + 40 % of 15

Number of apartments = 15 + 40 / 100 × 15

Number of apartments = 15 + 6

Number of apartments = 21 apartments.

Therefore, she will lease out 21 apartments in the month of October.

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We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .

Square brackets mean the set of all points from a to b .

If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .

When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .

So , we use parenthesis to exclude - infinity and + infinity .

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Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula [tex]y = kx[/tex]

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

The driver’s average speed for the laps driven is 192.972mph

The formula for average speed is given below:

    Average speed = (Sum of the lap speeds driven by the driver) / (Total   number of the lap speed driven by the driver)

Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph

                                = 771.888 mph

Number of lap speed driven by the driver = 4

Now putting the required values in the formula of average speed we get

   Average speed = 7771.888/4 mph

                               = 192.972 mph

Hence the driver’s average speed for the laps driven is 192.972mph

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Answer:

Step-by-step explanation:

Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.

The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending

the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

Answer:

Step-by-step explanation:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Answer:

E) Line 5

Step-by-step explanation:

Line 5 contains the first incorrect mathematical process

Process

x−5(x+1)>3x+2

−4x−5>3x+2

−7x−5>2

−7x>7

x<−1

The cost of the dryer will be $450

In the given sum the combined cost of the washer and dryer is $813

let the cost of the dyer be x

the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer

According to the problem :

∴  x + (x-87) = 813

=> x+x-87 = 813

=> 2x - 87 = 813

=> 2x = 813 +87

=> 2x = 900

=> x = 900/2

=> x = 450

So the cost of the dryer is $450

The cost of the washer is = x - 87 = 450 - 87 = $363

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1. The number of edible portions (EP) is 64.

2. The food cost per portion = $0.75 per portion.

The number of edible portions can be determined by first converting the case weight in pounds into ounces.

There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).

Then, divide 320oz by 5oz to determine the number of portions.

Yield:                      90%

Purchase Unit:       10 boxes = 1 case

Case Weight:        20 lbs

Case Cost:           $48.00

Portion Size:         5oz

1lb = 16oz

20lbs = 320oz (20 x 16)

Edible portions (EP) = 64 (320oz/5oz)

Food cost per portion = $0.75 per portion ($48/64).

Thus, the number of edible portions is 64 with the food cost per portion as $0.75.

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Answer:

your answer is 7/2

Shirley will take 8 hours to complete mowing the field alone.

We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.

So, work done if 1 hour together = 1 / 6

Also, we are given that Pam takes three times as long as Shirley when she works alone.

Time taken by Pam = 3 times Time taken by Shirley.

Let the time taken by Shirley be y.

Job done in 1 hour = 1 / y

Time taken by Pam = 3 y

Job done in 1 hour = 1 / 3y

ATQ:

1 / y + 1 / 3 y = 1 / 6

4 / 3 y =1 / 6

24 = 3 y

y = 24 / 3

y = 8 hours.

Therefore, Shirley will take 8 hours to complete mowing the field alone.

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[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]

The correct answer is option D.

The polygon ABCD can be mapped on to WXYZ but first it must be enlarged and then it must be mirrored along BC.

The mirror image of ABCD along BC must be enlarged with a scale factor of 2 to map ABCD to WXYZ.

The scale factor is the ratio of the the object to be transformed to the object with which it is to be compared.

Here, the scale factor is 2 and we must enlarge the image of ABCD along BC to get the desired mapping.

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Step-by-step explanation:

We will assume “a number” is “a”. When it is cubed it will be represented by

= “a³”.

When we multiply the number with 5 then the new cube will be

= (5a)³

Now distribute the exponent to the factors inside the parentheses.

= 125a³

What happens in the parentheses is 5*5*5 = 125

a*a*a = a³

So by multiplying your number with 5 it gets increased by 125 times.

Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

the correct answer is 6259

.

3(x+5) + 2(x-3) = 6(3(1/6))

3x + 15 + 2x - 6 = 3 X 1

5x + 9 = 3

5x = - 7

x = - 7/5

Answer:

What's the question?

Step-by-step explanation:

Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.

Additionally, considering that each of the 12 months declined at the same rate.

the Monthly decrease  in members = 312 / 12 = 26

Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months

Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)

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Answer:

bca

Step-by-step explanation:

5x5=25 5 to the power of 2 is 25 plus the power of x on all of them

Answer:

5

Step-by-step explanation:

f(2) = (2)^2 +2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{a\times b}}[/tex]

[tex]\mathsf{= 24\times8}[/tex]

[tex]\mathsf{= 192}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

B x=√28 using Pythagorean theorem

Answer:

4n^2 + 5n.

Step-by-step explanation:

If the number is n, then:

4n^2 + 5n.