Write fraction into decimal

2 3 over 5

2.2
2.4
2.6
2.5

Answer:

2k-8

Step-by-step explanation:

3k +9 -k-17

Combine like terms

3k -k    +9-17

2k         -8

Answer:Simplifying

3k + 9 + -1k + -17 = 0

Reorder the terms:

9 + -17 + 3k + -1k = 0

Combine like terms: 9 + -17 = -8

-8 + 3k + -1k = 0

Combine like terms: 3k + -1k = 2k

-8 + 2k = 0

Solving

-8 + 2k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2k = 0 + 8

Combine like terms: -8 + 8 = 0

0 + 2k = 0 + 8

2k = 0 + 8

Combine like terms: 0 + 8 = 8

2k = 8

Divide each side by '2'.

k = 4

Simplifying

k = 4

Step-by-step explanation:

The value of the greatest of the three is -16

Let the smallest of the integers be x - 2

So, the other integers are x - 1 and x

The sum of the integers is given as

Sum = -51

So, we have the following equation

x - 2 + x - 1 + x = -51

Evaluate the like terms in the above equation

So, we have the following equation

3x = -48

Divide both sides of the equation by 3

So, we have the following equation

x = -16

Hence, the value of the greatest of the three is -16

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Answer: \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

Step-by-step explanation:

The given expression: \(\sqrt{\dfrac{16n}{m^3}}\)

'

since \(16=4^2\)

\(m^3=m^{2+1}= m^2\times m\)   [\(a^{n+m}=a^n\times a^m\)]

Now, the given expression becomes,

\(\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}\)

Since there is root in denominator , so we need to rationalize

\(\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}\)

Hence, the correct option is \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

I believe its 90

Step-by-step explanation:

You multiply each side by 5

5x5=25

double it for the other side

4x5= 20

double it

50+40=90

Answer:

La opción correcta es B.

Step-by-step explanation:

Dado que en la tienda de doña Claudia venden 1/4 de crema a $15.50, en la tienda de don Juan venden el 1/2 kilo a $37.5 y en la tienda de doña Lupe venden 100 gr de crema a $6.80, para determinar en cuál tienda es más barata la crema se debe realizar el siguiente cálculo:

1/4 = 15.5 x 4 = 62

1/2 = 37.5 x 2 = 65

100 = 1/10 = 6.8 x 10 = 68

Por lo tanto, la tienda en la cual la crema es más barata es la tienda de Don Juan.

Answer:

Step-by-step explanation:

According to the matrix, the system is:

Correct match is A

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

eeeeeeeeeeeeeeeeeeeeeeStep-by-step explanation:

Answer:

363-138=-5x

Step-by-step explanation:

Let c = cost

We know that the total cost is $363:

363-??????

We also know that he spent $138 on parts:

363-138?????

And we are solving for the cost of labor per hour:

363-138=5x

We can use this equation to find the total cost of labor per hour.

Hence, your equation will be 363-138=5x

Answer:

\(\frac{7}{12}\)

Step-by-step explanation:

Probabilities

When rolling a dice twice, we can get 36 different combinations of the numbers, starting from (1,1),(1,2),(1,3),... up to (6,4),(6,5),(6,6).

From those combinations, only those where the second number rolled is not less than the first number are favorable outcomes.

Thus, the favorable outcomes are:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6),

(4,4),(4,5),(4,6),(5,5),(5,6),(6,6)}

The total number of favorable outcomes is: 21. Thus the required probability is:

p=\frac{21}{36}=\frac{7}{12}

Answer: \(\frac{7}{12}\)

Answer:

768

Step-by-step explanation:

Answer:

The area of the space is( 0.1155 m^2)

A fixed expense is an expense that remains constant and doesn't change with fluctuations in activity or usage.

In the given options, A) car payment is considered a fixed expense because it is a predetermined and consistent amount paid on a regular basis.

A fixed expense is an expense that remains constant regardless of the level of production or sales. In other words, a fixed expense is an expense that does not change in the short term, regardless of changes in a company's revenue or production levels.

Fixed expenses are typically associated with long-term investments, such as buildings, equipment, and other assets. Examples of fixed expenses include rent or lease payments, property taxes, insurance, salaries or wages of permanent employees, depreciation, and interest payments on loans.

Fixed expenses are important for businesses to consider when calculating their break-even point, which is the point at which total revenue equals total expenses, and the business is neither making a profit nor incurring a loss. By understanding their fixed expenses, businesses can better manage their costs and plan for the future.

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Answer:

x² + y² = z²

Step-by-step explanation:

(a)

Using the right triangle altitude theorem,

x/z = p/x

x² = pz

(b)

y/z = q/y

y² = qz

(c)

x² + y² = pz + qz

x² + y² = z(p + q)

z = p + q

x² + y² = z × z

x² + y² = z²

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

Answer:

The no. are 11 and 12

Step-by-step explanation:

n(n+1)=17+5(2n+1)

n^2 +n=17+10n+5

n^2 -9n-22

Splitting the middle term

n^2 -11n+2n -22

n(n-11)+2(n-11)

(n-11)(n+2)

As n cannot ne negative,

n=11 and 12(consecutive no.)

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The two of the consecutive positive integers whose product is 17 more than 5 times their sum are 11 and 12.

An integer is a complete number, therefore, not including the decimals and fractions. And it that can be either positive, negative, or zero.

Integer examples include -5, 1, 5, 8, 97, and 3,043.

Non-integer numbers include: -1.43, 1 3/4, 3.14, and more.

Let the first of the two consecutive integers be represented by x. Then, the other number can be written as (x+1).

Now, the product and the sum of the two numbers can be written as,

Product = x(x+1) = x² + x

Sum = x + (x+1) = 2x + 1

Further, it is given that the product of two consecutive positive integers is 17 more than 5 times their sum. Therefore, we can write,

x² + x = 17 + 5(2x + 1)

x² + x = 17 + 10x + 5

x² + x - 17 - 10x - 5 = 0

x² - 9x - 22 = 0

x² - 11x + 2x - 22 = 0

x(x - 11) + 2(x - 11) = 0

(x - 11)(x + 2) = 0

x = -2, 11

Thus, there are two numbers that can fulfil the given condition but since it is mentioned that we only need two positive consecutive integers. Therefore, the two numbers are 11 and 12.

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Answer:

9.67

Step-by-step explanation:

Answer:

102°

Step-by-step explanation:

Supplementary angles sum to 180° , then

other angle = 180° - 78° = 102°

According to Benford's law, 5 will be the first digit of a random number set is d. less often than 4.

According to Benford's law, which is an empirical law about the frequency distribution of leading digits in many real-life collections of numerical data, the digit 5 is actually the second least frequent leading digit after 1 and is less common than 4 as a first digit. In actuality,

Benford's rule states that the likelihood of a number having four as its first digit is nearly thirty percent, whereas the likelihood of a number having 5 as its first digit is approximately 25%. This is due to the fact that numbers with smaller starting digits are more common than those with bigger leading digits in many naturally occurring datasets.

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Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Answer:

Lebeled Price of watch = Rs. 2000

Selling price pf the watch = Rs. 1600

Step-by-step explanation:

Answer:

19.7 \(\leq \) x \(\leq \) 20.3

Step-by-step explanation:

Add and subtract 0.3 and put the x in the middle

Answer:

Property tax

Step-by-step explanation:

That is because you are paying to live on that property. As utility bills. Is like paying for tools and that is not a part of renting a house. Sercurtity deposit is not a thing.

Answer:

A. utility bills

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the answer is 3, the working is in the image

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC  7(15)+6    105+6=111

SC   6(15)-3      90-3 = 87

111-87 = 24

Using the concepts of dependent and independent variable, the table is:

x | g(x)

-5| -50

-3| -18

-1| -2

1| -2

------------------------

The function is:

\(g(x) = -2x^2\)

Thus:

\(g(-5) = -2(-5)^2 = -2(25) = -50\)

\(g(-3) = -2(-3)^2 = -2(9) = -18\)

\(g(-1) = -2(-1)^2 = -2(1) = -2\)

\(g(1) = -2(1)^2 = -2(1) = -2\)

Thus, the table is:

x | g(x)

-5| -50

-3| -18

-1| -2

1| -2

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