weston’s car drives 28 miles per gallon of gas. write an equation to represent the relationship between miles driven (y) and gallons of gas (x)

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Answer: 102

Step-by-step explanation:

The value of the expression is 150.

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Therefore, the expression can be evaluated using the PEMDAS rule,

k ÷ (c × d³ ÷ 26 ÷ 4 × h)

According to the PEMDAS rule, we have to solve the ones in the parenthesis.

Hence,

k ÷ (c × d³ ÷ 26 ÷ 4 × h)

where

90 ÷ (39 × 2³ ÷ 26 ÷ 4 × 5)

Hence,

90 ÷ (39 × 8 ÷ 26 ÷ 20)

90 ÷ (312 ÷ 26 ÷ 20)

90 ÷ (12 ÷ 20)

90 ÷ 0.6 = 150

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A rectangular prism has 6 faces, 8 vertices and 12 edges.

What is rectangular prism?

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.

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Answer:

Subtotal: $250.00

Savings: $62.50

New Subtotal: $187.50

Total: $195.00

Step-by-step explanation: First, multiply 25 by 10. You'd get 250. Then, recall the formula to find the worth after a percent is applied:

Worth = Whole number * part percent / 100

Plug in the numbers:

Worth = 250 * 25 / 100

6250 / 100

=  62.50

Now, since it's a discount we need to subtract the discount price from the current subtotal. This would look like this:

250 - 62.50 = 187.50

Now, use the same formula to find the sales tax:

187.50 * 4 /100

750 / 100

= 7.5

So, since we need to pay the tax, we add the amount to our current subtotal:

187.50 + 7.5 = 195

So, our total is $195.00

Answer:

Second box, fourth box, first box, and third box

Step-by-step explanation:

1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r

2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.

3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r

4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4

Answer:

1. (6r+7)+(13+7r)=13r+20

2. (13 3/2)-(1-r)= 12-r

3. (-8-r)+(2r-4)= -12+r

4. (7r-3/2)-(2/3*6r)=r-13/6

Step-by-step explanation:

1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20

2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r

3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r

4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6

The number of paint bottles required is 49.716 bottles

Thus, 50 bottles are needed to paint the ornaments.

Surface area is the sum of all exterior surfaces on a three-dimensional object, representing the quantity of material that covers it. Computing an object's surface area entrails measuring each of its faces and then adding up their areas altogether.

If we take, for instance, a cube, its surface area would be calculated by multiplying the measurement of one face width by another and then multiplying this value by six (each cube has six sides). The units applied to measure surface area are usually in square feet or square centimeters.

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Answer:

1 in 5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

f(x) = 6x + 30; 30 ≤ y ≤ 54

Step-by-step explanation:

The y-intercept of the function must be 30 because they started out with 30 clients and the slope is 6 so the function is f(x) = 6x + 30. As for the range, when 0 ≤ x ≤ 4, 30 ≤ y ≤ 54.

On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.

In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:

(4x + 7y) + (9x + 13y) = 17 + 46

Combining like terms on both the sides, we will be getting ,

13x + 20y = 63

Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be  13x + 20y = 63.

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The complete question is :

4x +7y= 17

9x + 13y = 46

when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

x= -7/5 y=8/5

Step-by-step explanation:

1. choose a variable to eliminate (i chose 6)

2. multiply the first equation by 2 and the second equation by 3

3. now you have

-6x+6y=18

6x-21y=-42

and the x's can now cancel out when you add the equations together

4. after adding the equations, you get

-15y=-24

5. solve for y (y= 8/5)

6. now plug in 8/5 for the y in one of the original equations to solve for x. (i chose the first one)

7. -3x+3(8/5)=9

-3x+24/5=9

-3x=21/5

x= -7/5

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Answer:

A. 15 outcomes, B.2, c.5, d.7

-hope that helps just let me know if not

Step-by-step explanation:

The answer is C

Given:

The polynomial is

\(4x+2x^5-6x^3+2\)

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

\(p(x)=4x+2x^5-6x^3+2\)

The standard form of the polynomial is

\(p(x)=2x^5-6x^3+4x+2\)

The highest power of x is 5 and 2 is before \(x^5\). The leading coefficient is 2.

Therefore, the standard form of the polynomial is \(2x^5-6x^3+4x+2\) and the leading coefficient is 2.

8^6 ÷ 4^3

8^6 = 262,144

4^3 = 64

So, 262,144 ÷ 64 = 4,096.

Done!

Answer:

2^12 = 4096

Step-by-step explanation:

Assuming that the problem is:

8^(6) / 4^(3)

1. Convert all numbers to the same base

In other words, rewrite the problem such that all the bases (the numbers under the exponent) are the same.

8 can be rewritten as 2^3

4 can be rewritten as 2^2

Hence the problem is:

((2^(3))^(6)) / ((2^(2))^(3))

2. Combine the exponents on the numerator and denominator

((2^(3))^(6)) / ((2^(2))^(3))

Simplify, remember an exponent to the power of another exponent is the same as multiplying the two exponents, applying this:

(2^(18)) / (2^(6))

3. Simplify the fraction and solve

(2^(18)) / (2^(6))

Dividing two exponents, with the same base is the same as subtracting the exponents, hence:

(2^(12))

= 4096

Step 1

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Therefore,

Step 2

Find the value of Line AC the median.

Hence, the value of line AC is 34

Answer:

The only equation that's NOT equivalent is the first Equation(eqn1)

Reason:

6f + 12 ≠ 6(f + 7).

Answer:

46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2

The probability of someone getting the mac and cheese or fries, with a burger and a chocolate cupcake is 1/6.

To determine the probability of someone getting the mac and cheese or fries, with a burger and a chocolate cupcake, we need to look at the possible combinations and find the ones that meet these criteria.

There are 3 side options, 2 sandwich options, and 2 dessert options, making a total of 3 x 2 x 2 = 12 possible combinations.

Now let's find the combinations that fit the desired meal:
1. Mac and cheese, burger, chocolate cupcake
2. Fries, burger, chocolate cupcake

There are 2 favorable combinations. Therefore, the probability is:

2 (favorable combinations) / 12 (total combinations) = 1/6

So, the probability of someone getting the mac and cheese or fries, with a burger and a chocolate cupcake is 1/6.

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Answer:

D.). –2 × (–4) × (8) × (–1)

= 8 × –8

= –64

Step-by-step explanation:

a.). 6 × (–2) × (–3) × 1

= 6 × 6 = 36

b.) –3 × (–4) × (–9) × 0

= –3 × 0

= 0

c.) –7 × (–3) × (–5) × (–8)

= 21 × 40

= 840

d.) –2 × (–4) × (8) × (–1)

= 8 × –8

= –64. ( this is the answer because the result carry a Negative Value)

I hope this helps

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer: -2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5/9^-2 = 81/25

3/5^-3 = 125/27

3/5^0 = 1

81/25 x 512/27 x 1 = 15

Answer:

15

Step-by-step explanation:

  \(\boxed{\left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^m}\\\\\boxed{\dfrac{a^m}{a^n}=a^{m-n}}\\\\\boxed{(a^{m})^n=a^{m*n}}\)

\(\sf \left(\dfrac{5}{9}\right)^{-2}*\left(\dfrac{3}{5}\right)^{-3}*\left(\dfrac{3}{5}\right)^0=\left(\dfrac{5}{9}\right)^{-2}*\left(\dfrac{3}{5}\right)^{-3}*1\\\\ \text{Any variable or number raised to 0 =1} \\\)

                                         \(= \left(\dfrac{9}{5}\right)^2*\left(\dfrac{5}{3}\right)^3}\\\\= \dfrac{(3^2)^2}{5^2}*\dfrac{5^3}{3^3}\\\\=\dfrac{3^{2*2}}{5^2}}*\dfrac{5^3}{3^3}\\\\=\dfrac{3^{4}}{5^{2}}*\dfrac{5^3}{3^3}\\\\=3^{4-3}*5^{3-2}\\\\=3^1*5^{1}\\\\=15\)                      

Answer:

6(x/2 + 4)>9

x/2 + 4 > 9/6

x/2 + 4 > 3/2

x/2 > 3/2 - 4

2*(x/2) > 2*(3/2 - 4)

x > 3 - 8

x > - 5

Step-by-step explanation:

Answer:

X>-5

Step-by-step explanation:

Can i get brainiest please

Answer:

He made 35% of his shots he did not make 65& of his shots

Step-by-step explanation:

7/20=35%, 20/7=65%