Smmy pays $2 73 for each gallon of gas, which table best represents the relationship between the number of gallons
purchased, and the amount he pays for gas?

Since no diagram attached there are two possible options.

Option 1

The quadrilateral is parallelogram.

In this case ∠A and ∠D sum up to 180°, therefore:

Option 2

The quadrilateral is isosceles trapezoid.

In this case ∠A is congruent with ∠D, therefore:

Answer:

115

Step-by-step explanation:

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

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Answer:

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

[tex]\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2[/tex]

[tex]x=7(2)=14[/tex]

Hope this helps

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

Formula: Higher number - Lower number ÷ original number × 100

Solve:

87.50 - 65.62 = 21.88

21.88 ÷ 87.50=0.25005714285

0.25005714285 × 100 = 25.0057142857

Round - 25%

~lenvy~

From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.

The given parameters are;

Shape of the quilt pattern = A regular hexagon

Coordinates of point A = A(4, 0)

Coordinates of point D = D(-4, 0)

Required;

The area of the hexagon

Solution;

The coordinates of the center of the hexagon, P = (0, 0)

A regular hexagon consist of six equilateral triangles.

The length of a side of the triangle = PA

Length of PA = 4 - 0 = 4

Therefore;

Length of a side of the triangle = 4

Height of the triangle = PA × sin(60)

Which gives;

Height of the triangle = 4 × (√3)/2 = 2•√3

Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2

Area of the 6 triangles is therefore;

A = 6 × 4•√2 = 24•√2

Area of the 6 triangles = Area of the hexagon

Therefore;

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Hey there!

Option A.

(4 + 5) * 3^2 - 9 ÷ 3^2

= 9 * 9 - 9 ÷ 9

= 81 - 1
= 80

Thus, that answer is: [incorrect]

Option B.
4 + 5 * (3^2 - 9) + 3^2

= 4 + 5 * (9 - 9) + 9

= 4 + 5 * (0) + 9

= 4 + 5(0) + 9

= 4 + 0 + 9

= 4 + 9

= 13

Thus, that answer is also [incorrect]

Option C.

4 + 5 * 3^2(-9 ÷ 3^2)

= 4 + 5 * 3^2(-9 ÷ 9)

= 4 + 5 * 3^2(-1)

= 4 + 5 * 9(-9)

= 4 + 5(9) * -1

= 4 + 45 * -1

= 4 - 45

= -41

Thus, that answer is also [incorrect]

Option D.
4 + 5 * 3^2 - 9 ÷ 3^2

= 4 + 5(9) - 9 ÷ 9

= 4 + 45 - 9 ÷ 9

= 49 - 9 ÷ 9

= 49 - 1

= 48

Therefore, your answer is: Option D.

Good luck on your assignment & enjoy your day l!

~Amphitrite1040:)

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

⇒ 4 + 5 × (3² - 9) ÷ 3²

⇒ 4 + 5 × (9 - 9) ÷ 3²

⇒ 4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

⇒ 4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

⇒ 4 + 0 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 0

Add the two terms in the expression as PEMDAS

⇒ 4

⇒ 4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

Answer:

[tex]7000[/tex]

Step-by-step explanation:

Recall the form of the difference of squares.

[tex]x^2 - y^2 = (x+y)(x-y)\\\\\\[/tex]

Now let's apply it to your numbers:

[tex]85^2 - 15^2 = (85 + 15)(85 - 15)[/tex]

Simplify:

[tex](100)(70) = 7000[/tex]

Answer:

Given dimensions of room:

Given cost of materials:

Total square feet of floor = length × width

                                          = 12 × 14

                                          = 168 ft²

Total cost of flooring = $4 × 168

                                   = $672.00

Total square feet to be painted = area of walls + area of ceiling

                                                    = 2(12 × 8) + 2(14 × 8) + (12 × 14)

                                                    = 584 ft²

Total cost of paint = (584 ÷ 146) × $16

                              = $64.00

Total cost to tile and paint the room = $672 + $64

                                                            = $736.00

Answer:

Karen= 35 messages

Lamar= 25 messages

John= 100 messages

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the number of messages Karen, Lamar and John send be K, L and J messages respectively.

[tex]\textcolor{steelblue}{\text{\textcircled{2} Form equations with given information}}[/tex]

K +L +J= 160 -----(1)

J= 4L -----(2)

L= K -10 -----(3)

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]

Substitute (3) into (2):

J= 4(K -10)

J= 4K -40 -----(4)

Substitute (3) and (4) into (1):

K +(K -10) +(4K -40)= 160

Simplify:

6K -50= 160

6K= 160 +50

6K= 210

Divide both sides by 6:

K= 210 ÷6

K= 35

Substitute K= 35 into (3):

L= 35 -10

L= 25

Substitute L= 25 into (2):

J= 4(25)

J= 100

[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]

Thus Karen, Lamar and John sent 35, 25 and 100 messages respectively.

Answer:

p=7/2

Step-by-step explanation:

Rember that a p series can be represented by

[tex] \frac{1}{k {}^{p} } [/tex]

Here, notice that

[tex] \frac{1}{8 \sqrt{2} } = \frac{1}{2 {}^{3} \sqrt{2} } = \frac{1}{2 {}^{3} \times 2 {}^{ \frac{1}{2} } } = \frac{1}{2 {}^{ \frac{7}{2} } } [/tex]

This is true for all parts of the series because

[tex]27 \sqrt{3} = 3 {}^{ \frac{7}{2} } [/tex]

So p=7/2

Hi there!

For the graph on the left, we know that the area A is equal to:
[tex]A = \int\limits^a_0 {e^x} \, dx[/tex]

Area 'B' is 9 times this area, so:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx[/tex]

We can evaluate the integral:
[tex]B = 9 \cdot \int\limits^a_0 {e^x} \, dx \\\\B = 9 \cdot e^x \left \| a}} \atop {0}} \right. \\\\B = 9 (e^a - 1)[/tex]

We also know that:
[tex]B = \int\limits^b_0 {e^x} \, dx[/tex]

Evaluate:

[tex]B = e^x \left \| b}} \atop {0}} \right. = e^b - 1[/tex]

Set the two equations for 'B' equal:
[tex]e^b - 1 = 9(e^a - 1)\\\\e^b - 1 = 9e^a - 9 \\\\e^b = 9e^a - 8[/tex]

Take the natural log of both sides:
[tex]ln(e^b) = ln(9e^a - 8)\\\\\boxed{b = ln(9e^a - 8)}[/tex]

Answer:

0.60x + ((x+2)(2)) = total cost

Step-by-step explanation:

The pencils = 60 cents

0.60x = (0.60, the money, multiplied by x number of pencils)

The pens = 2 dollars

2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)

Answer:

($2.60x + $4  = TC(x)

Step-by-step explanation:'

The number of pens bought would be x + 2, where x is the number of pencils bought.  Then:

Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4  = TC(x)

Answer:

0.270.27777777777

Step-by-step explanation:

You draw a diagram and color each side in for both of them

Answer:

b=10

C=99

D=140

Step-by-step explanation:

because it’s a parallelogram

Answer:

If you are only given the perimter, then you can only find the side lengths of a square

Step-by-step explanation:

e.g. say perimeter = 16

16 / 4 = 4 so each length is 4.

Answer:

I think the average speed is 160mph or 180mph

Answer: I guess it is 180180mph

Step-by-step explanation:

The area in square feet of the the basement floor that is trapezoidal is  603.6 feet square.

area = 1 / 2 (a + b)h

where

Therefore,

a = 24 ft

b = 36 ft

h² = 21² - 6²

h² = √405

h = 20.1246117975

h = 20.12 ft

Therefore,

area = 1 / 2 (24 + 36)20.12

area = 603.6 ft² = 67.066667 yard²

Therefore,

1 yard² = $35

67.1 yard² = ?

cost of carpeting = 35 × 67.1 = $2348.5

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Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Answer:

46.66% chance of red marble

Step-by-step explanation:

Red Marbles / Total Marbles gives you the percent

14 / 30 = 46.66%

Answer: C

Step-by-step explanation:

the equation for X is

[tex]\frac{2+x}{2} =\frac{8}{1}[/tex]  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

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Please see Explanation

[tex]a)\ As\ shown\ in\ the\ figure.[/tex]

[tex]b)\ According\ the\ picutre,[/tex]

[tex]we\ know\ only\ 3\ people[/tex]

[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]

I hope this helps you

:)

The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.

22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

i) Venn diagram is shown in the picture below:

ii) As per the picture 3 people sell only maize, 5 people sell only plantain        

   and 4 people sell maize and plantain.

iii)  Total number of women in the group = 34

     The number of women who sells plantain = 5  

We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]

Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]

Thus, the 3 people sell only maize, 5 people sell only plantain      

and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

Learn more about the Venn diagram here:

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Answer:

A

Step-by-step explanation:

The answer is (-3,0) which is A.

Answer:

A

Step-by-step explanation:

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!

Answer:

-9/14

Step-by-step explanation:

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Sum means add/addition
• Quotient means divide/division

• Now that we know what “product” means… we can make the question/equation easier to solve.

3/4 × -6/7

= 3(-6) / 4(7)

= -18 / 28

= -18 ÷ 2 / 28 ÷ 2

= -9 / 14

Therefore, your answer is: -9/14

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Tan = Opposite/ Adjacent

Tan 50 = 100/Adj

Adj = 100/tan50

Similarly, Tan30 = Opposite/ Adjacent

Opposite = 100tan30

therefore X= 100/tan 50 - 100 tan30

Answer:

6 .x = 121°

Sum of all interior angles of a 7 sided polygon is 900°.