I need help over here

An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,

Number of cups of coffee = Total bill amount / Cost of a coffee

Number of cups of coffee = $22.50 / $2..50

Number of cups of coffee = 9

A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,

Total bill amount = Cost of a coffee × Number of cups of coffee

y = 2.50 × x

y = 2.50x

B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

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9514 1404 393

Answer:

Step-by-step explanation:

In the attached, we have graphed the inequalities and the objective function line. As we might surmise by looking at the constraints,* the maximum occurs at the intersection of y=9 and 7x-y = 16, where (x, y) = (25/7, 9).

The maximum value of z is 7(25/7) +2(9) = 25 +18 = 43.

__

The graph shows all inequalities reversed. This has the effect of making the solution space white, rather than buried under 4 levels of shading. As we expect with most "maximize" problems, the feasible region vertex farthest from the origin is the one of interest.

_____

* The only upper bound on y is y ≤ 9. The only upper bound on x is 7x-y≤16. When we're maximizing some objective function with positive coefficients on the variables, these will be the boundaries of interest.

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

Answer: Square root (52), No

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^2 + 6^2 = x^2

sqrt 52 = x

x= 7.211

No, it is not a pythagorean triple because x is not a whole number.

Answer:

3x^2 + 7y^2

Step-by-step explanation:

3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2

Answer:

x^2+4x

Step-by-step explanation:

(3x^2+10x+20)-(6x+11) = 3x^2+4x+9

(3x^2+4x+9)-(2x^2+9) = x^2+4x

The polynomial that represents the measure of the third side of the plot of land is x² + 4x.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given two sides of a triangular plot of land.

6x + 11

2x² + 9

Perimeter = 3x² + 10x + 20

Perimeter of a triangle = Sum of the three sides

Let A represents the third side.

6x + 11 + 2x² + 9 + A = 3x² + 10x + 20

2x² + 6x + 20 + A = 3x² + 10x + 20

A = 3x² + 10x + 20 - (2x² + 6x + 20)

A = x² + 4x

Hence the measure of the third side is x² + 4x.

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Answer:

(-1, -1) is not a solution to the system

Step-by-step explanation:

Y = 3x - 4.             Substitute the points for x and y

2 = 3(2) - 4

2 = 2  solution

y = 3x - 4

-4 = 3(0) - 4

-4 = -4 solution

y = 3x - 4

8 = 3(4) - 4

8 = 8   solution

y = 3x - 4

-1 = 3(-1) - 4

-1 = -7 not solution

Answer:

40 students

Step-by-step explanation:

A helpful tip I use is x% of y= y% of x

For example, 50% of 80 is 40

Boom

Answer:

-375 + 500d - 125c

Step-by-step explanation:

Multiply everything by -25. Also keep in mind that 2 negatives make a positive. You can't simplify any further since each numbers have different variables.

Answer:

Step-by-step explanation:

-375 + 500d - 125c

Hope that helps! :)

Answer:

It points to 3 in on the clock.

Hope it helps!!!

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

DONT CLICK THE LINK ITS A VIRUS

Step-by-step explanation:

9514 1404 393

Answer:

  114 inches, or 9 ft 6 inches

Step-by-step explanation:

The chair's shadow is 72/48 = 1.5 times as long as the lifeguard's shadow. Since shadow length is presumed proportional to height, we expect the lifeguard chair to be 1.5 times as tall as the lifeguard.

  1.5(76 in) = 114 in = 9 ft 6 in . . . height of lifeguard chair

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

Answer:

w = 94 degrees

x = 105 degrees

y = 75 degrees

z = 86 degrees

Step-by-step explanation:

The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.

180 - x = 75

x = 105 degrees

The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees

In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.

So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees

Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.

I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.

Answer:

proved

Step-by-step explanation:

hope this helps!!

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

Answer:

26.99

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Frank's monthly payment will be $690.25.

The total of all payments will be $690.25 × 360 = $248,490.00.

The interest Frank will pay is $248,490 -125,000 = $123,490.00.

The difference between Frank's rent and his loan payment is ...

   $700 -690.25 = $9.75

Answer:

V = 419.459168

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  316.7 ft³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...

  V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³

The volume of the cone is about 316.7 cubic feet.

_____

If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.

Answer:

A

Step-by-step explanation:

perimeter of the base...

In the surface area formula for prisms, the letter "P" stands for "Perimeter of the base."

The surface area of a prism is calculated by adding the areas of all its faces. For a prism, the bases are typically parallel polygons, and the other faces are parallelograms connecting the corresponding vertices of the bases.

To find the area of the base, we need to consider its shape and dimensions. The perimeter of the base is the total length of all its sides. Therefore, when calculating the surface area of a prism, we need to determine the perimeter of the base and multiply it by the height of the prism.

By multiplying the perimeter of the base by the height, we obtain the lateral area of the prism. Adding the areas of the two bases to the lateral area gives us the total surface area of the prism.

So, in the surface area formula for prisms, the "P" represents the "Perimeter of the base."

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Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

Answer:

65

Step-by-step explanation:

the sum of interior angles in a triangle equal to 180°

so 45+70=115

180-115=65

Answer:

its 20 inches

Step-by-step explanation:

Answer:

26 inches

Step-by-step explanation:

To the nearest inch, the diameter of the tire is 26 inches.

The bike traveled 136 feet in 20 revolutions.  First we want to convert this to inches.  

136 ft * 12 in/ft = 1632 inches.

Next we find how many inches it travels in 1 revolution:

1632/20 = 81.6 inches

The distance around the tire is called the circumference, and the formula for circumference is  

C=πd

Our circumference is 81.6 and π is 3.14:

81.6 = 3.14d

Divide both sides by 3.14:

81.6/3.14 = 3.14d/3.14

26 = d

Hope this helped!!!!

Answer:

14+p= sister's current age

Step-by-step explanation:

If you are 14 years younger, then you add 14 to your current age to find her current age.

Answer:

w² - 2w + 4

Step-by-step explanation:

(w² - 4w + 14) - (2w + 10) = w² - 2w + 4

Answer:

Is nonlinear because the common ratio is 3

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.

For example, if we choose the first and second points:

(0,20) and (1, 60) the slope is:

a = (60 - 20)/(1 - 0) = 40/1 = 40

a = 40

Now if we choose the first and third points:

(0, 20) and (2, 180)

The slope is:

a = (180 - 20)/(2 - 0) = (160/2) = 80

So the slopes are different, which means that this function is nonlinear.

If we look at the f(x) values for the second point onwards, we can see that:

f(2) = 60

f(3) = 60*3 = 180

f(4) = 180*3 = 540

f(5) = 540*3 = 1620

and so on.

So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.

Having a common ratio is not a property of linear functions, then the correct options is:

"Is nonlinear because the common ratio is 3"