MATHEMATICS HIGH SCHOOL

A taxi driver charges a $2 gas fee plus $1.25 for each mile. He charges a customer$17 for a ride. Write and solve an equation to find the distance the customer
traveled in the taxi. *

Answers

Answer 1
Answer:

I think the answer is y=2(17)+1.25.

Answer 2
Answer:

Answer:

$2+$1.25x=$17

Step-by-step explanation:

You have to add the $2 to the $1.25 for each mile then multiply that by x to get $17. I think but I could be wrong

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How many odd numbers greater than 60000 can be formed, using numbers 2,3,4,5 and 6 if each digit is used only once in each number?​

Answers

Hello,

All the numbers must begin with  6.

There are still 2,3,4,5 digits :  4 possibilities.

4!=4*3*2*1=24

The first is 62345 and the last 65432.

Final answer:

To find the number of odd numbers greater than 60000 that can be formed using the given numbers with each digit used only once, you can determine the number of possibilities for each digit and multiply them together. The answer is 96.

Explanation:

To find the number of odd numbers greater than 60000 that can be formed using the numbers 2, 3, 4, 5, and 6 with each digit used only once, we need to consider the possible arrangements of these digits. First, we can determine the number of possibilities for the leftmost digit, which must be either 3, 4, 5, or 6. Next, we can determine the number of possibilities for the remaining four digits, which can be arranged in 4! (4 factorial) ways. Multiplying these two values gives us the total number of odd numbers greater than 60000 that can be formed using these digits with each digit used only once.

Thus, the number of odd numbers greater than 60000 that can be formed using the numbers 2, 3, 4, 5, and 6 with each digit used only once is 4 * 4! = 4 * 4 * 3 * 2 * 1 = 96.

Learn more about Odds numbers greater than 60000 here:

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The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

Answers

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

the distance between two cities a and b is 330 km. a train starts from a at 8 a.m. and travels towards b at 60 km/hr. another train starts from b at 9 a.m. and travels towards a at 75 km/hr. at what time do they meet? options: A. 11 : 30 am B. 10 : 30 am C. 11 am D. 10 am

Answers

Answer:  11 am


hope this helps!

Use synthetic division to solve (x^4 – 1) ÷ (x – 1). What is the quotienta. x^3-x^2+x-1
b. x^3
c.x^3+x^2+x+1
d. x^3-2

Answers

Answer:

Option C.

Step-by-step explanation:

We have to solve (x^(4)-1 )/(x-1) by synthetic division and tell the quotient.

First we will write the numerator in the standard form as ax^(4)+bx^(3)+cx^(2)+dx+e

Which will become as 1.x^(4)+0.x^(3)+0.x^(2)+0.x^(1)-1

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

          1        0      0    0      -1

1          1        1       1      1      0

          x³      x²      x    

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of  

(x -1) + ((1.x^(3)+1.x^(2)+1.x+1))/((x - 1))

Therefore quotient will be x^(3)+x^(2)+x+1

Option C. is the answer
Hello,

x^4-1=(x²-1)(x²+1)=(x²+1)(x-1)(x+1)
==>(x^4-1)/(x-1)=(x²+1)(x+1)=x^3+x^2+x+1
Answer C

Imagine that 86,999 penniless people live in the town of Centerville. Bill Gates, whose net worth is $87,000,000,000 moves into Centerville. Now the mean net worth is ______ and the median net worth is ______.

Answers

The mean net worth is $1,000,000, and the median net worth is $87,000,000,000.

After Bill Gates moves into Centerville, the number of people in the town remains the same at 86,999, but the total net worth changes due to his massive wealth.

Mean Net Worth:

To calculate the mean net worth, we divide the total net worth by the number of people. The total net worth is the sum of the net worth of all individuals in Centerville.

Total Net Worth = Net Worth of 86,999 people + Net Worth of Bill Gates

Total Net Worth = 86,999 * 0 + $87,000,000,000 (Bill Gates' net worth)

Mean Net Worth = (Total Net Worth) / (Number of People)

Mean Net Worth = ($87,000,000,000) / (86,999 + 1) [Adding 1 for Bill Gates]

Median Net Worth:

The median net worth is the net worth of the middle person in the sorted list of net worth values. Since we have one extremely wealthy individual (Bill Gates) with a net worth of $87,000,000,000, he becomes the median net worth, as there are an odd number of people in Centerville.

So, after Bill Gates moves into Centerville:

Mean Net Worth = $87,000,000,000 / 87,000 = $1,000,000

Median Net Worth = $87,000,000,000

Therefore, the mean net worth is $1,000,000, and the median net worth is $87,000,000,000.

To know more about net worth:

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Median= $0 because 0,0,0,0,0,0,0,0,0,0,0.. and so forth

Mean= $1000000 because 87000000000/87000=1000000

Y = x - 2 and y=-2x +7

Answers

\huge\boxed{\boxed{\bold{(3, 1)}}}

\hrulefill

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of y from the second equation and substitute it into the first:

-2x+7=x-2

Add 2x to both sides of the new equation:

7=3x-2

Now add 2 to both sides of the equation:

9=3x

Divide both sides by 3:

\boxed{3}=x

Now let's solve for y by substituting the known value of x into the first equation:

y=3-2

Simplify using subtraction:

y=\boxed{1}

This means our solution is:

\large\boxed{(3, 1)}

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3, y = 1
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