2/3 is what percentage of 1/3
​

Answer:

Option B) A and C

Step-by-step explanation:

Answer:

25 gallons

Step-by-step explanation:

5 gallons per minute, 5 minutes, 5, 10, 15, 20, 25. multiple 5 by 5

Answer:

The answer is 25 gallons of water

Step-by-step explanation:

I just took the test and seriously it is correct!

The average amount paid in 2005 is $4,452.6

The given equation for the average price;

\(y = \frac{30000 \ + \ 2.2x^2}{1 \ + \ 0.23x^2}\)

where;

x is defined as the number of years from 2000

The average amount paid from 2000 to 2005 is calculated as follows;

Substitute 5 into the model equation given to determine the average amount paid;

\(y = \frac{3000 0 + 2.2(5)^2}{1 + 0.23(5)^2} \\\\y = \$ \ 4,452.6\)

Thus, the average amount paid in 2005 is $4,452.6

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The 3! is used to calculate the number of permutations of three objects, and is included in the Poisson probability formula to account for the number of ways in which three events can occur in a specific order over a given period.

In Poisson probability calculation, 3! (3 factorial) is used to find the number of ways in which three independent events can occur in a specific order over a given period. In other words, 3! refers to the number of permutations of 3 objects.

The formula used in Poisson distribution is as follows: \(P (X = x) = (e^{-\lambda } \lambda^x)/x!\), where λ is the mean rate of the event occurring over a specific time interval, and x is the number of events that occur within that time interval.

The x! term is included in the formula because it represents the number of ways in which x events can occur in a specific order over the given time period. The exponents of λ are used to represent the probability of an event occurring in the interval.

In the case of 3! we are calculating the number of ways that three independent events can occur in a specific order over a given period. This can be expressed as 3 x 2 x 1 = 6, which is why 3! becomes 6 in the Poisson probability calculation.

The term 3! (6) is included in the formula to account for the number of ways in which three events can occur in a specific order over a given period.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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The function of C(d) in the given inverse function is determined as C(d) = (d - 3)/10

option A.

The inverse of the given function is calculated by applying the principle of inverse of functions as follows;

let C(d) = 10d + 3

The inverse of the function is calculated as follows;

C = 10d + 3

make d the subject of the formula;

10d = C - 3

d = (C - 3)/10

Now replace, C with d;

C = (d - 3)/10

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Answer:

at 5 hours he will have traveled 400 mi

Step-by-step explanation:

320÷4= 80

320=4, then 400=5

hope this helps

Answer:

2369

Step-by-step explanation:

Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

C(d) = 0.64c +37.95

Step-by-step explanation:

C(38) = 0.64(38) + 37.95 = $62.27

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

D. 5

Step-by-step explanation:

distance between -3 and 2 on the number line is given as as:

\(2 - ( - 3) = 2 + 3 = 5 \: units\)

Answer:

f(-4)=16

Step-by-step explanation:

since f(x)=8-2x and we are asked to find f(-4),

we plug -4 in for x and we get

\(f(-4)=8-2(-4)\)

\(2*-4=-8\)

\(8-(-8)=8+8\)

\(8+8=16\)

\(f(-4)=16\)

Answer:

C) 2√3

Step-by-step explanation:

This is a right triangle with one of the smaller angles = 45°

Therefore the other non-right angle = 45°

Therefore this is a right isosceles triangle with two legs equal

Each leg = √6

hypotenuse of a right isosceles triangle = √2 x a where a is each of the legs

y = √2 x √6 = √2 x √(2 x 3) = √2 x √2 x √3 = 2√3

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

there are 8 possible outcomes if that is what the question is.

otherwise the answer is 6 because 2 times 3 is 6

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

Step-by-step explanation:

The question is not complete, as the information, your best friend in Europe about the temperature over there is missing, nevertheless, we can proceed with this problem by plugging in an assumed temperature.

The expression for conversion from degrees F to degrees  C is given as

T(°C) = (T(°F) - 32) × 5/9

Now say temperature your friend e-mailed you is 68 degrees Fahrenheit (you can as well plug in your own value)

T(°C) = (68°F - 32) × 5/9

T(°C) = (36) × 5/9

T(°C) = 180/9 = 20 °C

T(°C)  = 20 °C

Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

\(f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218\)

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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Answer:

The question is not complete

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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The simplified form of the given expression is x+y

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: The expression -4x+6y-2+5x-5y+2

Combining like terms and performing the operation we get

-4x+6y-2+5x-5y+2

=5x-4x+6y-5y+2-2

=x+y

Thus the simplified form of the given expression is x+y

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Answer:

Step-by-step explanation:

Yesenia's solution is as followed.

                   Step                                  Justification

1). -4(3x - 1) = 12 - 4x                     1). Original equation

2). 3x - 1 = -3 + x                          2). Distributive property

3). 3x + 2 = x                                3). Addition Property of equality

4). 2 = -2x                                     4). Subtraction property of equality

5). -1 = x                                        5). Division property of equality  

Answer:

35!

Step-by-step explanation:

5squared is 25 so you then do 25+10 wich = 35!

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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