The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB

Answer:

The annual property taxes is $3672 .

Step-by-step explanation:

As given in the question

Beatrice's house is assessed at $102,000 and her property tax rate is 3.6%.

3.6% is written in the decimal form

[tex]= \frac{3.6}{100}[/tex]

= 0.036

Property tax price = 0.036 × $102000

                               = $3672

Therefore the annual property taxes is $3672 .

We want to find the lowest common multiple of 3 numbers.

We will see that the 300th caller will get the 3 prizes.

Ok, we know that:

We want to see the first time that the 3 prizes will be given at the same time (at the same caller).

This will happen for the lowest common multiple of 15, 25 and 100

Now, to find the lowest common multiple we can use brute force, this is, writing all the multiples of the 3 numbers and watching which one is the first to appear in the 3 lists, but here we can do another thing.

One of the numbers is 100, so its multiples are:

100, 200, 300.

And we know that with 25 we can make all of these numbers:

25*4 = 100

25*8 = 200

25*12 = 300

So all the multiples of 100 are also multiples of 25.

Then we just need to find the first common multiple between 100 and 15.

To get this, we can decompose both numbers as a product of primes:

15 = 3*5

100 = 10*10 = 2*5*2*5

Now we multiply these, but if there is some factor that appears in both numbers we remove it (only from one).

For example, here we can see that the factor 5 appears in both numbers, so we need to remove one of the fives in the product.

We will get:

(3*5)*(2*5*2) = 300

So the lowest common multiple is 300.

This means that the 300th caller will get the 3 prizes.

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Sanjay needs to ride his bike for 3 weeks to cover a distance of

150 kilometers.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Sanjay rides his bike to work 15 kilometers in two days.

∴ In one day he rides (15/2) = 7.5 kilometers.

So, to ride his bike for 150 kilometers he needs (150/7.5) = 20 days.

We know 1 week is 7 days.

∴ Sanjay needs (20/7) = 2.86 weeks, but weeks comes in integers and we'll choose 3 weeks as in 2 weeks he won't be able to cover a distance of 150 kilometers.

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multiply number of pants and number of shoes

18 * 16 = 288 combinations

The compound inequality expression expressing the required score to obtain a B grade is 80 ≤ (169 + t) ≤ 89

Test scores :

Range of B - grade:

Let the her score in the last test = t

Final average score will be :

To obtain a B grade :

The compound inequality expression can be expressed thus :

Therefore, the compound inequality expression is 80 ≤ (169 + t) ≤ 89

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Answer:

B

Step-by-step explanation:

We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.

We can also perform long division:

       __4256_____

 14  |   59, 584

         -56____

              35

              -28____

               78

              -70____

                 84

                -84____

                   0

Answer:130

Step-by-step explanation:

the LCM for 9 and 30 is 90

LCM for a = a^2 and ab^2 = a^2

LCM for b =  bc^3 and abb^2 =b^2

 LCM for c = bc^3 and c^3 = C63

 so answer is 90a^2b^2c^3

The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,

P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

Answer: S

Step-by-step explanation:

On Ap

The cafeteria can seat 120 people.

Let's denote the number of 3-legged stools as S and the number of 4-legged chairs as C. According to the problem, there are the same number of stools and chairs, so we have:

S = C

Next, we are told that the stools have 120 fewer legs than the chairs. Since each stool has 3 legs and each chair has 4 legs, we can set up the following equation:

3S + 120 = 4C

Since S = C, we can substitute C for S in the equation:

3C + 120 = 4C

Now, let's solve for C:

120 = 4C - 3C

120 = C

Now that we know there are 120 chairs, and since the number of stools is the same as the number of chairs, there are also 120 stools. Each chair can seat one person, and each stool can also seat one person, so the total number of people that can be seated is the sum of the number of chairs and stools:

Total seating = C + S

Total seating = 120 + 120

Total seating = 240

However, since there are only 120 chairs and 120 stools, and we cannot have half a piece of furniture, the maximum number of people that can be seated is the number of chairs or stools, which is:

Total seating = 120

Therefore, the cafeteria can seat 120 people.

The difference between the maximum and minimum area of the soccer field is found by calculating the maximum and minimum area using the given dimensions, and then subtracting the minimum area from the maximum area. Result is 4100 square yards.

First, the area of a rectangle (like a soccer field) can be found with the formula Area = Length x Width. To find the difference between the maximum area and the minimum area of the field, we'll need to do two calculations.

For the maximum area, we'll use the maximum length of 120 yards and the maximum width of 80 yards: Max Area = 120 yards x 80 yards = 9600 square yards.

For the minimum area, we'll use the minimum length of 100 yards and the minimum width of 55 yards: Min Area = 100 yards x 55 yards = 5500 square yards.

Now you subtract the minimum area from the maximum area: 9600 square yards - 5500 square yards = 4100 square yards. This is the difference in area between the smallest and largest possible soccer fields.

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At 95% confidence interval, the z score is 1.96. Using the formula:

Confidence Interval = x ± z s / sqrt (n)

where x is the average time served, s is standard deviation and n is number of samples

Confidence interval = 7.5 ± (1.96 * 3) / sqrt (400)

Confidence interval = 7.5 ± 0.294

Confidence interval = 7.206 to 7.794

divide the amount she wants to make ( 850) by her hourly pay (23.68)

850 / 23.68 = 35.895

 rounded to the nearest whole hour is 36 hours

The answer in decimal to the expression −3.1+(−0.35) is - 3.45.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.

Given:

The expression: - 3.1 + (-0.35)

Use the sign convention given below to solve the above expression,

[tex]+ + - =[/tex] sign of the larger number,

[tex]-+- = -[/tex]

[tex]+\times - = -[/tex]

Here when the bracket opens use the second sign convention,

- 3.1 - 0.35 = - 3.45

Therefore, the answer in decimal to the expression −3.1+(−0.35) is - 3.45.

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Answer:

The answer to the question is a

3 + 4+ 5+8 = 20 total marbles

3 green  +5 blue = 8 marbles

probability = 8/20 reduces to 2/5