what is the largest of 3 consecutive positive integers if the product of the two is smaller integers is 8 more times the largest integer

Answer:

No solutions.

Step-by-step explanation:

Steps:

I will solve your system by substitution.

y=1/4x−10;y=1/4x+1

Step: Solve y=1/4x−10 for y:

Step: Substitute 1/4x−10 for y in y=1/4x+1:

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x(Add (-1)/4x to both sides)

−10=1

−10+10=1+10(Add 10 to both sides)

0=11

The given system of equation of No solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the equations:

y= 1/4 x - 10

y = 1/4x + 1

Now, Solve y=1/4x−10 for y by Substituting 1/4x−10 for y in y=1/4x+1 we get

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x

−10=1

0=11

thus, the equation have No solution.

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Answer: all of the above

Step-by-step explanation:

Answer: square,Rectangle,Rhombus and trapezoid

Step-by-step explanation:

they all have pairs of parallel sides

Please mark me brainllest

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Using proportions, it is found that the number of cups per student is of 1.97. hence there will not be enough for each student to have 2 cups.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each gallon is worth 16 cups, hence, since each grade is given 15 gallons of water, and the trip consists of three grades, the number of cups is given by:

C = 3 x 15 x 16 = 720.

There is a total of 370 students, hence the number of cups per student is given by:

n = 720/370 = 1.97.

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Answer:

2(x-9) = 2

Step-by-step explanation:

Difference indicates subtraction:

The difference of a number and

9

is

(

x

−

9

)

Twice the difference means

2

(

x

−

9

)

We know that the answer to this is

2

, so as an equation:

2

(

x

−

9

)

=

2

If you solve it we would have:

x

−

9

=

1

←

÷

2

x

=

1

+

9

x

=

10

The difference between

10

and

9

is

1

and twice

1

is

2

.

The number is correct.

Note that written as:

The difference of twice a number and

9

would have a different expression. This would be

2

x

−

9

Answer:

73.21 m

71.68°

Step-by-step explanation:

Like the question has stated, we're to solve this using Pythagoras theorem.

Pythagoras theorem states that

opp² + adj² = hyp²

From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.

Succinctly put, we have

69.5² + 23² = hyp²

4830.25 + 529 = hyp²

hyp² = 5359.25

hyp = √5359.25

hyp = 73.21 meters.

Therefore, the length of the cable is 73.21 meters long.

To get the angle, we use the formula

Sin Φ = opp/hyp

Sin Φ = 69.5 / 73.21

Sin Φ = 0.9493

Φ = sin^-1 0.9493

Φ = 71.68°

Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°

Part a: the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers: 96.

The given number are-

1/4, 3/32, 5/48, and 1/8

Part a:

Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.

32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.

48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.

8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.

As a result, the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers:

Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.

4 = 2, 2

32 =  2, 2, 2, 2 and 2.

48 = 2, 2, 2, 2 and 3.

8 = 2, 2 and 2.

The generated number, 96, can be divided by the provided fractions' denominators.

As a result, the outcome is 96.

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Answer:

Solution given:

Equation of line is:

y=-⅔x

comparing above equation with

y=mx+c

we get

m=-⅔

So

Answer:

slope is -2/3

Step-by-step explanation:

I. It's linear equation

    y = mx + b

when y is output, x is input, m is slope and b is addition.

The statment above is y = -2/3x + 0

So -2/3 is slope or m.value

Hope that help :D

Answer:

Car leasing

Step-by-step explanation:

Im not exactly sure but this may be helpful

Car ownership is literally being the owner of the car and paying it full. Car financing is the one ive not heard of before. Car maintenance is literally caring and looking after the car. I know leasing is like giving out so im hoping its like that

Car leasing describes an alternative to car buying where monthly payments

are paid for a specific period of time, after which the vehicle is returned to the dealership or bought

Car leasing is a financial transaction in which a person pays a monthly fee in exchange for the use of a car for a predetermined period of time.

At the end of the lease term, the car is returned to the dealership or bought by the lessee.

So, Car leasing describes an alternative to car buying where monthly payments are paid for a specific period of time

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Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

Answer:

John pay:449.65

Step-by-step explanation:

(391×15)÷100=58,65

391+58,65=449,65

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 112 π

Step-by-step explanation:

Volume of a cylinder = π x r^2 x h

V = π x 16 x 7

V = 112π

30,506,098 would be the answer

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

The divergence and the curl

A. Divergence of F is 11

B. The curl of F is (0, 0, 0)

C. The curl of F is (0, 0, 5). It is not possible to find a function f such that F = ∇f

What is Divergence?

Divergence is a vector operator in vector calculus that operates on a vector field to produce a scalar field that contains the quantity of the source of the vector field at each point.

To compute the divergence of a vector field \(F = (F_x, F_y, F_z)\), we use the formula:

\(div F = (dF_x/dx) + (dF_y/dy) + (dF_z/dz)\)

A. For the vector field F = (6x, 2y, 3z), we have:

       \(div F = (d(6x)/dx) + (d(2y)/dy) + (d(3z)/dz)\\= 6 + 2 + 3\\= 11\)

So the divergence of F is 11.

B. To compute the curl of a vector field \(F = (F_x, F_y, F_z)\), we use the formula:

 \(curl F = (dF_z/dy - dF_y/dz) i + (dF_x/dz - dF_z/dx) j + (dF_y/dx - dF_x/dy) k\)

For the vector field F = (6x, 2y, 3z), we have:

\(curl F = (d(3z)/dy - d(2y)/dz) i + (d(6x)/dz - d(3z)/dx) j + (d(2y)/dx - d(6x)/dy) k\\= (0 - 0) i + (0 - 0) j + (0 - 0) k\\= 0i + 0j + 0k\)

So the curl of F is (0, 0, 0).

C. For the vector field F = (3xy, 8y, 5z), we have:

\(curl F = (d(5z)/dy - d(8y)/dz) i + (d(3xy)/dz - d(5z)/dx) j + (d(8y)/dx - d(3xy)/dy) k\\= (0 - 0) i + (0 - 0) j + (8 - 3) k\\= 0i + 0j + 5k\)

So the curl of F is (0, 0, 5).

It is not possible to find a function f such that F = ∇f for either of these vector fields. The divergence and curl operator do not generally have an inverse that allows us to express a given vector field as the gradient of some function.

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Answer:

3 more picks

Step-by-step explanation:

710 divided by 5 = 142

Answer: Most employers expect their exempt employees to work the number of hours necessary to get their jobs done. It doesn't matter if that takes more or fewer than 40 hours per week. Even if your exempt employee works 70 hours in a week, you are still only required to pay them their standard base salary If you use a payroll processing service, there is a cost for each check processed. But either way, processing paychecks more frequently will cost more, such as if you process paychecks every other week (26 times a year) rather than bi-monthly (24 times a year).

Step-by-step explanation:

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

volume =l×b×h

45cm×32cm×35cm=48,960cm³

The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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To dilate means to be expanded by a factor

since the scale factor is 3, then the coordinates of the vertices will be enlarged OR multiplied by a factor of 3

A(0,10) : A'(0,30)

B(8,6) : B' (24,18)

C(4,2) : C' (12, 6)

The correct option is option B

Answer:

x=18 y=25

Step-by-step explanation:

1)2x18=36-12=24

2)3x25=75-15-60

Answer:

Expected age would be 18.

Step-by-step explanation:

20,000 × 40% = 8,000 18 year olds

20,000 × 30% = 6,000 19 year olds

20,000 × 20% = 4,000 20 year olds

20,000 × 10% = 2,000 21 year olds.

The probability of an 18 year old being chosen is 2/5.

Answer:

For Gwen:-

x + 10y = 30

x + 15y =  40       - Tristan

if we subtract the above equations:-

we get

5y = 10

y = 2

That is the cost of each ticket is $2.

Step-by-step explanation:

Answer:

Keith & Gwen Paid: y=10x+30

Tristan Paid: y=15x+40

Step-by-step explanation:

now gimmie my Ford Super Duty F-250 12'