4x - 5y = 20 , what are the steps for solving for y?

Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]nPr = \frac{n!}{(n-r)!}[/tex]

In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

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[tex]7[/tex] · [tex]7[/tex] · [tex]7[/tex]

Sure Hope this helps you :D

Answer:

6 x 49

Step-by-step explanation:

Khan Academy

The teacher ordered the students in 24 ways.

We have given that the total number of students is 4.

4 students are assigned to give presentations.

We have to find the arrangement of the 4 students.

An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)

In a permutation, the order that we arrange the objects n is important.

4 students can be arranged by 4! ways.

[tex]4!=4*3*2*1\\ =12*2\\=24[/tex]

Therefore option 3 is correct.

The teacher ordered the students in 24 ways.

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Answer:

$126.20

Step-by-step explanation:

Given:

Mike is buying eight tickets for a concert.

A package of five tickets costs $74.45.

Individual tickets cost $17.25 each.

To Find:

What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.

Solve:

Since we know that:

A package of five tickets costs $74.45.

Individual tickets cost $17.25 each.

Hence we know that 5 + 3 = 8

Thus,

$74.45 = 5 tickets

Now for the 3 tickets we can do individual tickets which cost $17.25

$17.25 × 3 = 51.75

Then we add both together:

51.75 + 74.45 = $126.20

Kavinsky

Answer:

See below ~

Step-by-step explanation:

sin (A) = opposing side / hypotenuse

cos(A) = adjacent side / hypotenuse

tan(A) = opposing side / adjacent side

Answer:

1/8 for everything

Step-by-step explanation:

add all together and thats the probability

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

It is the sum of each separate rate.

In this problem, the rates are given by:

Hence the together rate is given by:

[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

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Answer:

y = 3x - 27

Step-by-step explanation:

Since the slope is three, that is the only one that can be the answer.

answer: y = 3x - 27

explanation:

equation of a straight line: y = mx + c

( m is the slope and c the y- intercept )

here m = 3 , then y = 3x + c ← is the partial equation

to find c substitute (6, - 9) into the partial equation

-9 = 18 + c ⇒ c = -9 - 18 = - 27

y = 3x - 27 ← equation of line

Answer: The area of the shape is 156.

Answer:156

Step-by-step explanation:

A graph which best models a linear function fitted to the average cost of electricity (data) in the scatter plot is shown in the image attached below.

A linear function can be defined as a type of function with an algebraic equation of the first order that has two (2) variables, with each of its term having an exponent of one.

In Mathematics, the resulting points of a scatter plot shows any association (correlation) between the data plotted on the graph.

Based on the average cost of electricity, a graph which best models a linear function fitted to the data in the scatter plot is shown in the image attached below.

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Answer: D 48

Step-by-step explanation:

Answer:

200 + X

Step-by-step explanation:

Answer:

y=[tex]\frac{2}{3}x[/tex]+4

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

plus the y intercept

which is 4

The required equation in slope-intercept form is y = - [tex]\frac{2}{3}[/tex]x + 4

An equation represents any two expressions or statements are equal that means they are having an equal to (=) sign in brtween them.

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept is called slope-intercept form of the equation.

Slope of a line is the inclination of the straight line towards x axis.

                       [tex]m = \frac{d - b}{c-a}[/tex]

According to the problem, the straight line passes through (6 , 0) , (3 , 2) , (0, 4) , (-3 , 6).

Slope (m) = [tex]\frac{2-0}{3-6}[/tex] = - [tex]\frac{2}{3}[/tex]

The equation can be written as

y = - [tex]\frac{2}{3}[/tex]x + b

∴ putting (0,4) in the equation, we get,

 y  = 4

∴ The  required equation is y = - [tex]\frac{2}{3}[/tex]x + 4.

   - [tex]\frac{2}{3}[/tex](-3) + 4 = 6

 CLearly, the point satisfies the equation.

So, the equation y = - [tex]\frac{2}{3}[/tex]x + 4 is correct  

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The sum of the opposite angle of the Isosceles trapezoid is supplementary. The value of x from the given diagram is 10

The sum of the opposite angle of the Isosceles trapezoid is supplementary. According to the theorem;

14x + 3x + 10 = 180

17x = 180 - 10
17x = 170

Divide both sides by 17

17x/17 = 170/17

x = 10

Hence the value of x from the given diagram is 10

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Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000

Answer:

11a.  3,117

11b. 33

Step-by-step explanation:

11a. -165 + 3217 + 65

The easiest way to do this would be,

-165 + 65 = -100 than -100 + 3217

-100 + 3217 is the same as 3217 - 100

-100 + 3217 = 3,117

11b. 173 + (-43) + (-97)

this is the same as 173 - 43 - 97

173 - 43 = 130 and 130 - 97 = 33

Answer: -92

Step-by-step explanation:

discriminant formula: [tex]b^2-4ac[/tex]

[tex]f(x) = 4x^2+2x+6[/tex]

a = 4

b = 2

c = 6

[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]

Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions

Answer:

Could you provide more context of the question?

Answer:

36+9r

by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r

Step-by-step explanation:

hope this helps

Answer:

2=B

Step-by-step explanation:

Insert 2 in the down phrase

Answer:

answer is C.1

Step-by-step explanation:

the value is g(2)= 1

Answer:

230°

Step-by-step explanation:

950-360 =590

590-360 =230°

Step-by-step explanation:

I am not sure this is a square.

this could be a rectangle.

to be safe, I am following that path.

in a rectangle opposite sides are of equal length.

that means

y - 1 = 2y - 7

y = 2y - 6

0 = y - 6

y = 6

3x - 4 = 3y - 13

3x - 4 = 3×6 - 13

3x - 4 = 18 - 13 = 5

3x = 9

x = 3

as it turns out, it is a square, so we could have used every side expression to be equal with every other side expression, but better safe than sorry ...

Answer:

A unit fraction is a fraction whose numerator is 1. Example is: (1/1, 1/2, 1/3)

Step-by-step explanation:

Answer:

In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.  

Step-by-step explanation:

For example: 1/4, 1/6, 1/25

Based on the information provided, the sum of all the labeled angles is 235° (option b).

To calculate the sum of all the labeled angles we must add the different values of each labeled angle as shown below:

80° + 92° + 40° + 23° = 235°

According to the above, it can be inferred that the correct option is B because the result of the sum of the values coincides with this sum.

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Answer: -$0.5

Step-by-step explanation:

event        Probability

+ $2                 1/6

+ $4                 1/6

+ $6                 1/6

- $5                 3/6

E(X) = (2*1/6)+(4*1/6)+(6*1/6)+(-5*3/6) = -$0.5

Answer:

y ≤ 33

Step-by-step explanation:

You have $40. You spent $7 already.

40-7=33.

You have $33 now. You can spend less or only up to $33.

Answer:

15/23

Step-by-step explanation:

What is probability?

Probability in simple terms is the likelihood of something happening.

We can say that probability = # of favorable outcomes ( what we want to happen ) / total # of outcomes ( simply what's expected to happen )

Here, we want to find the probability of drawing a red or yellow marble.

So # of favorable outcomes = drawing a red or yellow marble and total # of possible outcomes would be simply the total number of marbles

Given:

Given this we can determine what the # of favorable outcomes are as well as how many total marbles are.

So in total there are 23 marbles, so total number of outcomes = 23

And there are 6 red marbles and 9 yellow marbles, so number of favorable outcomes = 6 + 9 = 15

Plugging these values into the probability formula we get 15/23

So the probability of drawing a red or yellow marble would be 15/23

Answer:

P(red or yellow marble)= 15/23

Step-by-step explanation:

If we have 23 marbles in the bag, 6 red and 9 yellow, we add the 6 and 9 to get 15.  So there are 15 marbles that are red/yellow out of the 23 in the bag.  This means the probability is 15/23. Hope this helps <3

The number is 1.

when a number multiplies itself the result is said to be the square of that number.

Analysis:

The square of 1 remains 1.

if you subtract the square of 1 from 1, you will have 0.

and zero is the greatest difference in this regard because every other number gives a negative result.

Example, 3 is a number, the square of 3 is 9. and 3 - 9 = -6 smaller than 0.

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0.5 is the number.

Let the number be x,

When this number is subtracted from its square

x - x²

In order to find the greatest number, use vertex formula: x = -b/2a

Identify the following: a = -1, b = 1, c = 0

Hence solve, x = -1/2(-1) = -1/-2 = 1/2

So, the number is 0.5

Difference: (0.5) - (0.5)² = 0.5 - 0.25 = 0.25