write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

\(a_1x + b_1y = c_1\\a_2x + b_2y = c_2\)

then, if we want to eliminate variable x, then we have to multiply equation 1 with

\(-\dfrac{a_2}{a_1}\)

which will make coefficient of x in first equation as

\(a_1 \times - \dfrac{a_2}{a_1} = -a_1\)

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Answer:

to be fair, this one is tough  :D

Step-by-step explanation:

So,  we need to figure out what 56 * 8.50 is , it's  476, now subtract that from the total sales.   3136-476=2660 ... the 2660 is the amount of sales when the adults and the kids were at the same amount.... sooo use a common variable like X.... and add up the ticket prices of 10.50+8.50 so that you have an eqution of  

x*19.00=2660.00

x=140    people

nice we have the Adults and kids ... each of 140

now just add 140+56=196 kids went to the movies

196 kids

Answer:

Central tendencies and variability are generally used to represent or describe/summarize a large data set into a single data

Step-by-step explanation:

Central tendency is the measurement used to determine the probability of a set of  variables/dataset to cluster around their mean, mode, and median values.

Central tendencies and variability are generally used to represent or describe/summarize a large random data set into a single data. examples of variabilities are : variance, range and standard deviation.

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

Answer:

they would eat 3500 pounds of food in 1 week

Step-by-step explanation:

its simple math just multiply 500 by 7 and you would get 3500

Answer:

17.5

Step-by-step explanation:

35÷y = 140 ÷ 70

or, 35 = 2y

or, y= 17.5

Answer:

38

Step-by-step explanation:

Have a nice day :)

The position of A on the number line is

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.

As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.

Between 0 and 1 there are 5 lines, these means that each line will be 4/5

If 1 line is 4/5 , therefore ;

4 lines will be 4 × 4/5

= 16/5 = 3 1/2

Therefore the position of A on the number line is 3 1/2

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If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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Answer:

2:00

Step-by-step explanation:

1 hour plus 1hour and 30 minutes  is 2 hours and 30 minutes +12:30 is 200

60 degrees is he angles which are made by bracket with the wall

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The shelf is perpendicular to the wall.

The shelf makes an angle of 90 degree to the wall because when the shelf is perpendicular then the wall and shelf should be ninety degrees.

From the shelf edge to wall there creates an angle x.

We need to find the angle x.

As it forms a right angle triangle one angle is 90 degrees and the other angles should be 60 degrees and 60 degrees.

Hence 60 degrees is the angles which are made by bracket with the wall

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Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

263347200

Step-by-step explanation:

Mark branliest please

Answer:

x is a 33° angle

Step-by-step explanation:

The two angles are supplementary meaning the measure of both angles adds up to 180°. You can tell they are supplementary because the angle is a straight line. so all you need to do is subtact 147 from. 180 to get the measure of x .

Answer:

x+147=180 ( sum of supplementary angle)

or, x = 180-147

or, x = 33

so the value of x is 33°

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer:

last one or d

Step-by-step explanation:

Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.

The answer is the last one

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

45180cm

Step-by-step explanation:

You have to multiply the amount of shells by the length on one shell to get the length of all of them combined so, 2510 multiplied by 18 is 45180.

Answer:

0.2 < 20%

Step-by-step explanation:

Step-by-step explanation:

Add up the four test scores (80, 95, 85, x) then divide by 4 and set that result equal to 88. The equation you get is (80+95+85+x)/4 = 88. Now solve for x.

(80+95+85+x)/4 = 88

(260+x)/4 = 88

4*(260+x)/4 = 4*88

260+x = 352

x+260 = 352

x+260-260 = 352-260

x = 92

The fourth missing number is 92

Answer:

$5

Step-by-step explanation:

We can solve this using a system of linear equations. The equations are written like this:

3v + 9d = 75

5v + 10d = 100 (25 more than Dawn's total is 100)

V represents video games and d represents DVDs.

Let's isolate a variable, I'm going to isolate v in the first equation:

3v = -9d + 75

v = -3d + 25

Now that we isolated v we can plug it in to the second equation:

5(-3d + 25) + 10d = 100

-15d + 125 + 10d = 100

-5d + 125 = 100

-5d = -25

d = 5

Therefore, each DVD cost $5.

Check:

3v + 9(5) = 75

3v + 45 = 75

3v = 30

v = 10

5(10) + 10(5) = 100

50 + 50 = 100

100 = 100

I hope this helps!!

- Kay :)

The parametric equations of a function are:

x = 4 cos θ

y = 3 sin θ

For angles in the interval:

Below we show the table of values for theta in increments of 10 degrees and the corresponding values of x and y:

This produces the following graph:

The graph was drawn from the upper points down to the left-bottom points, that is, in a counterclockwise direction.

The ellipse is centered at the origin and the length of the major axis is 4 and the length of the minor axis is 3.

Completing the full statement:

The graph of the parametric equations is the left half of an ellipse. The length of the major axis of the semi-ellipse is 4, the length of the minor axis is 3, and the center is the origin. The semi-ellipse is elongated horizontally.

Arrows are drawn on the semi-ellipse to indicate movement in a counterclockwise direction.

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9

Step-by-step explanation:-8x+24-4x<108

108-24

-12x<84

x<7

The slope of the line is -0.8.

The formula for distance  is...

y2−y1                                5−1

______=                       ________    

  x2−x1                            −9− −4

And so when simplified we  get

4

__

-5

Giving us -0.8.