Write an expression representing the perimeter of the rectangle as the sum of the four side lengths.

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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Answer:

DONT CLICK THE LINK ITS A VIRUS

Step-by-step explanation:

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:

0.0750 I took the test

The experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%, which is closest to answer option B.

Probability is a statistical term that describes the possibility that something will occur.

Since there is only one blue marble in the bag, the likelihood of getting a blue marble on the first draw is 1/6.

After the blue marble is replaced, the probability of drawing a yellow marble on the second draw is 2/6, since there are now 2 yellow marbles out of a total of 6 marbles in the bag.

The probability of sketching a blue marble and subsequently a yellow marble in the same attempt is:

P(blue then yellow) = P(blue) x P(yellow | blue)

P(blue then yellow) = (1/6) x (2/6)

P(blue then yellow) = 1/18

Since the marbles are replaced after each draw, the probability of drawing a blue marble and then a yellow marble is independent of one attempt to the next.

The experimental probability of pulling a blue marble and then a yellow marble in 40 attempts can be calculated by dividing the number of times it occurred by the total number of attempts:

Experimental probability = number of times blue then yellow was pulled / total number of attempts

Experimental probability = 3 / 40

Experimental probability = 0.075

Therefore, the experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%.

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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:

26.99

Step-by-step explanation:

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:

-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:

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:

w² - 2w + 4

Step-by-step explanation:

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

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:

[tex]V=20.52\ in^3[/tex]

Step-by-step explanation:

Given that,

The radius and the height of the cylindrical soup can are 1.1 inch and 5.4 inch.

We need to find the volume of the can.

The formula for the volume of the can is given by :

[tex]V=\pi r^2 h\\\\V=\pi \times (1.1)^2 \times 5.4\\\\V=20.52\ in^3[/tex]

So, the volume of the can is equal to [tex]20.52\ in^3[/tex].

Answer:

3x^2 + 7y^2

Step-by-step explanation:

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

Answer:

proved

Step-by-step explanation:

hope this helps!!

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:

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

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: 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:

x = (a-4)/c

Step-by-step explanation:

1) Multiply 6 for a and -cx

6a - 6cx = 24

2) Add -6a at the two members

-6cx + 6a -6a = 24-6a

-6cx = 24 -6a

3) Multiply the two members by -1

6cx = 6a - 24

4) divide the two members by 6c (assuming that its values is not 0)

x = (6a-24)/6c

5) simplify the second member

x = [6(a-4)]/6c

x = (a-4)/c

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

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:

X= 15.6

Step-by-step explanation:

Hope it was helpful ;)

Answer:

[tex]x = \frac{78}{5} [/tex]

Step-by-step explanation:

[tex]2.5x - 11 + 11= 50 - 11 \\ 2.5x = 39 \\ \frac{2.5x}{2.5} = \frac{39}{2.5} \\ x = \frac{78}{5} [/tex]

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

9514 1404 393

Answer:

  C  10x = 150

Step-by-step explanation:

The marked angles are vertical angles, so are congruent. The appropriate equation is the one that shows they are equal to each other:

  10x = 150

Answer:

6.8

Step-by-step explanation:

4.3+2.5=6.8

6.8-4.3=2.5

Answer:

6.8 is x value to be put

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:

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