Someone please tell me how to do this!!!!! 50 points.

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

the answer is -3x+2 good luck

Answer:

-2m -12n

Step-by-step explanation:

-8m -8n +6m-4n

Step-by-step explanation:

= -8m-8n+6m-4n

= -8m+6m-8n-4n

= -2m-12n

hope it helps.

Answer:

p = 11

Step-by-step explanation:

The drawing's scale factor is 1 : 1250

From the question, we are to determine the drawing's scale factor and we are to write our answer as a ratio

From the given information,

The scale of the drawing was 4 millimeters = 5 meter

Convert 5 meters to millimeters

1 meters = 1000 millimeters

∴ 5 meters = 5000 millimeters

Thus,

The scale of the drawing was

4 millimeters = 5000 millimeters

Divide both sides by 4 millimeters

Therefore,

The scale of the drawing was

1 : 1250

Hence, the drawing's scale factor is 1 : 1250

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Answerh

Step-by-step explanation:

huh

The area of the Trapezium given in the question is 28ft²

The area of a trapezium is calculated using the relation :

Using the parameters given for our compuation:

height, h = 4

b1 = 9

b2 = 5

Inputting the parameters into our formula :

Area = 4/2(5 + 9)

Area = 2(14)

Area = 28ft²

Therefore, the area of the Trapezium is 28ft²

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Answer:

the answer is 10.25

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

m=y2-y1-x2-x1

the points given to us are (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

Systematic errors are consistently in the same direction

In contrast , random errors produce different values in random directions

Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.

Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable

An example that illustrates this difference are

Systematic errors are consistently in the same direction

for example they are always 50g , 1% or 99 mm too large or too small

In contrast , random errors produce different values in random directions

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The requried there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To work out the number of different ways to choose one teacher, one girl, and one boy, we can use the multiplication principle of counting.

First, we need to choose one teacher out of 16. This can be done in 16 ways. Next, we need to choose one girl out of 120. This can be done in 120 ways. Finally, we need to choose one boy out of 100. This can be done in 100 ways.

By the multiplication principle of counting, the total number of ways to choose one teacher, one girl, and one boy is,

16 × 120 × 100 = 192,000

Therefore, there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

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Answer:

b) 458.9

Step-by-step explanation:

the tenths digit is the 8 right of the decimal so if you were to round, it would be 458.9 because 7 is closer to 10 than zero.

Hope this helps and can you please mark me brainliest?I just need 4 more brainliest to become expert

Answer:

The answer is w=lhv

solution

v=lwh

v\w=lh

w=lhv

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Answer:

3s^2

Step-by-step explanation:

Length of one side of garden bed= s

Area of one garden bed= s×s=s^2

Area of three such garden beds=

3× s^2

=3s^2

Answer:

the answer is True (explanation below) your current answer is incorrect the equation does have No Solution.

Step-by-step explanation:

The equation has no solution because when you simplify the equation as much as possible, we are left with 2=-2. However, 2=-2 is not true, so there is no answer to this equation.

Answer:

C. a=12ft, b=12ft

Step-by-step explanation:

This is a 45*-45*-90* triangle

"a" and "b" are the same

and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.

so the answer must be:

a = 12ft, b = 12ft

a)  The critical point is (-1/2, 7/16).

b)  The discriminant is negative, the critical points (0, -1) and (1, 1) do not have extrema.

c)   all the critical points (nπ, 0) are saddle points.

a) To find the critical points, we need to find the points where the partial derivatives of f(x, y) with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = 3x^2 + 1 - 4y

Partial derivative with respect to y:

∂f/∂y = -4x - 2

Setting these partial derivatives equal to zero and solving the resulting system of equations, we can find the critical points:

3x^2 + 1 - 4y = 0 ...(1)

-4x - 2 = 0 ...(2)

From equation (2), we have -4x - 2 = 0, which gives x = -1/2. Substituting this value of x into equation (1), we get:

3(-1/2)^2 + 1 - 4y = 0

3/4 + 1 - 4y = 0

7/4 - 4y = 0

-4y = -7/4

y = 7/16

Therefore, the critical point is (-1/2, 7/16).

To determine the nature of this critical point, we can calculate the second partial derivatives:

∂²f/∂x² = 6x

∂²f/∂y² = 0

∂²f/∂x∂y = -4

The discriminant for this point is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (6x)(0) - (-4)² = 16.

Since the discriminant is positive and ∂²f/∂x² = 6x, the critical point (-1/2, 7/16) is a relative minimum.

(b) To find the critical points for f(x, y) = x(y + 1) - x²y, we need to find where the partial derivatives with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = y + 1 - 2xy

Partial derivative with respect to y:

∂f/∂y = x - x²

Setting these partial derivatives equal to zero, we get:

y + 1 - 2xy = 0 ...(1)

x - x² = 0 ...(2)

From equation (2), we have x - x² = 0, which gives x(x - 1) = 0. This implies that x = 0 or x = 1.

Case 1: x = 0

Substituting x = 0 into equation (1), we have:

y + 1 = 0

y = -1

Therefore, one critical point is (0, -1).

Case 2: x = 1

Substituting x = 1 into equation (1), we have:

y + 1 - 2y = 0

-y + 1 = 0

y = 1

Therefore, another critical point is (1, 1).

To determine the nature of these critical points, we calculate the second partial derivatives:

∂²f/∂x² = -2

∂²f/∂y² = 0

∂²f/∂x∂y = -2

The discriminant for both critical points is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (-2)(0) - (-2)² = -4.

Since the discriminant is negative, the critical points (0, -1) and (1, 1) do not have extrema.

(c) To find the critical points for f(x, y) = cos(x) cosh(y), we need to find where the partial derivatives with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = -sin(x) cosh(y)

Partial derivative with respect to y:

∂f/∂y = cos(x) sinh(y)

Setting these partial derivatives equal to zero, we get:

-sin(x) cosh(y) = 0 ...(1)

cos(x) sinh(y) = 0 ...(2)

Equation (1) implies that sin(x) = 0, which occurs when x = nπ for n being an integer.

Equation (2) implies that sinh(y) = 0, which occurs when y = 0.

Therefore, the critical points are of the form (nπ, 0), where n is an integer.

To determine the nature of these critical points, we can calculate the second partial derivatives:

∂²f/∂x² = -cos(x) cosh(y)

∂²f/∂y² = cos(x) cosh(y)

∂²f/∂x∂y = -sin(x) sinh(y)

The discriminant for these critical points is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (-cos(x) cosh(y))(cos(x) cosh(y)) - (-sin(x) sinh(y))² = cos²(x) cosh²(y) - sin²(x) sinh²(y).

Since cos²(x) and cosh²(y) are always positive, and sin²(x) and sinh²(y) are always non-negative, the discriminant D will always be non-negative.

Therefore, all the critical points (nπ, 0) are saddle points.

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The dimensions that maximize the area are, 96cm and 84cm.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let the height of poster be h and breadth be b,

bh = 15630cm square........(1)

Height of the printed area=h-10-10 = h - 20

(decrement of 10 from top and bottom)

the breadth of the printed area b-6-6 = b-12

(decrement of 9 from both sides)

for maximum printed area:

A=(h-20)(b-12) should be maximum

\(A = (h - 20)(\frac{15360 }{h}-12)\)

From equation (1)  

\(A = 15360-12h-\frac{307200}{h} +240\)

A = 15600 - 12h - (307200/h)

differentiate with respect to h (it should be=0)

\(\frac{dA}{dh}= 0-12 + \frac{307200}{h^2}\)

\(12 = \frac{307200}{h} \\h = 160 cm\)

from equation (1),

\(bh = 15630cm^2\\b = 96cm\)

dimension of printed area,

= h - 20

= 160 - 20

= 140 cm

= b - 12

= 96 - 12

= 84 cm

Therefore, the dimensions that maximize the area are, 96cm and 84cm.

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Answer:

6 million

Step-by-step explanation:

50% = 1/2

1/2 + 1/3 = 5/6

5/6 people watched or listened, which means 1/6 people did not do either of them.

1/6 of 36 (million) = 6 (million)

So, the answer is 6 million.

Answer:

10.717 ounces per second

Step-by-step explanation:

To simplify this, first change the gallons to ounces. 5 gallons is 643 ounces. This means that there are 643 ounces per minute. To find the number of ounces per second, divide 643 by 60 (a minute) =10.7167. The prompt says to round to the nearest hundredth, so 10.717

Approximately 342.1 liters of the waste stream can be treated with 26 kg of activated carbon to achieve an equilibrium effluent concentration of 1 mg/L.

We have,

The Freundlich isotherm equation is given by:

\(Ce/C = (Kp * W)^{1/n}\)

where Ce is the equilibrium effluent concentration (1 mg/L), C is the influent concentration (4.8 mg/L), Kp is the Freundlich isotherm coefficient (0.05 L/kg), W is the mass of activated carbon (26 kg), and n is the Freundlich isotherm exponent (2.5).

We want to find the volume of the waste stream (V) that can be treated to achieve the equilibrium effluent concentration of 1 mg/L.

Rearranging the equation, we have:

\((V/W)^{1/n} = (Ce/C)\)

Taking the nth power of both sides:

\((V/W) = (Ce/C)^n\)

Substituting the given values:

\((V/26) = (1/4.8)^{2.5}\)

Simplifying:

\(V = 26 * (1/4.8)^{2.5}\)

V ≈ 342.1 liters

Therefore,

Approximately 342.1 liters of the waste stream can be treated with 26 kg of activated carbon to achieve an equilibrium effluent concentration of 1 mg/L.

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Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

Answer:

2/15

Step-by-step explanation:

(Keep Change Flip) KCF

2/3  / 5 =

2/3 *1/5 = 2/15

When dividing you do the opposite which is multiplication.

Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

Answer:

d line 1 and 3

Step-by-step explanation:

Answer:

We write it as $1841.67 (Rounded)

Step-by-step explanation:

The 7 will round up to the hundredths (0.01) place.

Hoped this helped.

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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