What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1\\m2=-1/m1[/tex]

in this problem the slope of the given line is

[tex]m1=-0.3=-\frac{3}{10}[/tex]

the value of m2 is

[tex]m2=-1/(-3/10)=\frac{10}{3}[/tex]

with the point [tex](3,-8)[/tex] and the slope m2 find the equation of the line

the equation of the line in the form point-slope is

[tex]y-y1=m*(x-x1)[/tex]

substitute the values

[tex]y+8=\frac{10}{3}*(x-3)[/tex]

[tex]y=\frac{10}{3}x-10-8[/tex]

[tex]y=\frac{10}{3}x-18[/tex]

therefore

the answer is

[tex]y=\frac{10}{3}x-18[/tex]

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).

( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

There are 18 minutes John must have used during the month.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700.

Before receiving this statement, John saw he was charged a total of $48.10.

Let the time he must have used during the month = x

So, We can formulate the equation as;

⇒ $48.10 = $40 + $0.45 x

Solve for x as;

⇒ 48.10 - 40 = 0.45x

⇒ 8.10 = 0.45x

⇒ x = 8.10 / 0.45

⇒ x = 18

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Answer:

Option D.,50 miles per hour

Step-by-step explanation:

The graph shows the distance covered by motor boat at  = y, ( in miles )

The certain amount of time on = x ( in hours )

The slope of the given line will represent the speed of the motorboat.

The given line passes through two points ( 0, 25 ) and ( 4, 225 )

Therefore, slope of the line = [tex]\frac{y-y'}{x-x'}[/tex]

                                              =  [tex]\frac{225-25}{4-0}[/tex]

                                              =   [tex]\frac{200}{4}[/tex]

                                              = 50

The speed of the motorboat is 50 miles per hour.

The problem statement is about the estimation of error in computation, here we will be presented with two values, the actual and the estimated value.

The present error in Irene’s measurement is 11.1%

Given data

Actual value = 40 inch

Estimate value = 45 inch

The formula for calculating the percent error is given as

Percent error = (Actual - Estimated/Estimated) *100

Percent error = (40 - 45/45) *100

Percent error = (-5/45) *100

Percent error = (-0.111) *100

Percent error = 11.1 %

Hence the percent error is 11.1%

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Final answer:

The cost of one pound of sausage is $5.69 per pound.

Explanation:

To solve the problem of finding the cost of one pound of sausage when 9 pounds cost $51.21, we use the concept of unit price. The unit price is the cost for one unit of an item when given the total cost for multiple units.

To find the unit price of the sausage, you divide the total cost by the number of pounds.

This gives you the cost per one pound of sausage, which is what we are looking for.

Here is the step by step calculation:

Therefore, one pound of the special sausage costs $5.69.

Final answer:

The correct equation to represent the total number of books Jarrod packed is B. y = 12(x - 8) + 128, which acknowledges he packed 8 boxes of science books and the remaining boxes were for math books.

Explanation:

Jarrod packed 8 boxes of science textbooks with 16 books per box, which totals to 8 × 16 = 128 books.

For the math textbooks, if x represents the total number of boxes packed, then Jarrod would have packed (x - 8) boxes of math textbooks since he already packed 8 boxes of science textbooks.

Each math textbook box contains 12 books, so the number of math books packed is 12 × (x - 8). The total number of books that Jarrod packed is the sum of both science and math books, which is given by 128 + 12 × (x - 8).

The correct equation that represents this word problem is B. y = 12(x - 8) + 128, where y is the total number of books packed and x is the total number of boxes packed.

The ratio of hours Lisa works to hours Lisa sleep is 3: 8.

The comparison of two quantities is known as a ratio. which could be easily determined by dividing one value by other which also indicates the percentage.

Given Lisa works 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. Therefore, the ratio of hours Lisa works to hours Lisa sleeps is the work hour of Lisa divided by hours of sleep per day.

Hence, the required ratio is  3: 8.

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Solution:

we are given with a dot plot where we can see that the number of visitors.

we have been asked to find the median of the data set.

From the data plot , we can write the data set as below

56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.

Here the data set is already arranged in the ascending order.

Now if the number of data points in the data set is odd then middle number is the median.

If the number of data points  in the data set is even then the sum of middle two divided by 2 gives the median.

Here the number of data points in the data set is odd.

So the median is 8th value from any side.

Hence the median of the given data set is 62.

Learn how to calculate the monthly payment for a car loan based on the principal amount, interest rate, and loan term.

Monthly payment calculation:

Answer:

The answer is C 0.4

Step-by-step explanation:

Answer:

b,c,e,f just did it trust me

Step-by-step explanation:

We need to convert the given information to meaningful mathematical equation.

Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means

[tex] Perimeter \; of\; the\; rectangle=48\; feet [/tex]

Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.

[tex] Perimeter \; of\; the\; rectangle\; =\; 2(L+W) [/tex]

We know "the deck is 14 feet long", which means...

[tex] L=14 \; feet [/tex]

Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.

[tex] 2(L+W)=Perimeter \; of\; the\; rectangle\\ 2(14+W)=48\\ Divide \; 2\; on\; both\; sides, \; we\; get...\\ \\ \frac{2(14+W)}{2}=\frac{48}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ 14+W=24\\ Subtracting\; 14\; on\; both\; sides\\ \\ 14+W-14=24-14\\ Combine\; like\; terms\\ \\ W=10 [/tex]

Conclusion:

The width of the deck is 10 Feet

To make 13/4 to 4 you must have to add 3/4 in the given equation.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information given in the question,

Let the number is x.

So,

13/4 - x = 4

x = 13/4 - 4

x = (13 - 16)/4

x = -3/4

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Answer: 1.2-apex

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