The equation

24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answer:

$189

Step-by-step explanation:

We can create a system of equations to solve this equation. They are as follows:

[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]

In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.

We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.

[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]

Now that we have A by itself we can plug it into the second equation.

[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]

We have found Y now lets plug it back into the first equation to find the value of A.

[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]

Let's check our variables by plugging them both in to the second equation.

[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]

Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:

[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]

Therefore, 2 adult tickets and 5 kid tickets would cost $189.

Hope this helps!!

- Kay :)

If you have any questions feel free to ask!

Answer:

Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test

Step-by-step explanation:

(5x + 2)(2x –3)

5x² – 15x + 4x – 6

5x² – 11x –6

Answer:

34

Step-by-step explanation:

3 + 4 = 7

34 increased by 9 is 43.

Answer:

The total amount due at the register will be: $65.09    

Step-by-step explanation:

The cost of an item = $61

tax on item = 6.7%

The tax amount =  6.7% × 61

                           = 0.067 × 61

                           = $ 4.09

The total cost = cost of an item + tax amount

                           = $61 + $4.09

                           = $65.09

Therefore, the total amount due at the register will be: $65.09                        

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

Answer:

wait what is that what the question ask you to do

Answer:

Looks like at (3,21) the graph intersects, meaning both values are equal to one another.

Answer:

correct answer given

Answer:

C

Step-by-step explanation:

The constant term in a polynomial expression is the numeric term with no variable attached to it.

In this case the constant is + 1 → C

Answer:

9/4 or 2 2/8

Step-by-step explanation:

Answer:

you did not put the options but here are some

9/4 = the improper fraction

2 2/8

2.25

if u want other ones lemme know, cuz i dont know the options they gave u, if there are any options.

Have a nice day!

Answer:

1. y=2x+15

2. 45.5 min

Step-by-step explanation:

1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.

2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.

Answer:

The final answer is D) I and II only

Step-by-step explanation:

Think bout what the formula is

y=mx+b

in this case

the slope of the graph is  

5/ 9 , which means that for an increase of 1.

C= 5 /9 (F)

C=

5 /9  (1)= 5 /9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9 /5  degrees Fahrenheit.

Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

[tex]C = 42[/tex]

[tex]L= 126[/tex]

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

[tex]42 = 2^1 * 3^1 * 7^1[/tex]

[tex]126 = 2^1 * 3^2 * 7^1[/tex]

Hence, the GCF is

[tex]GCF = 2^1 * 3^1 * 7^1[/tex]

[tex]GCF = 42[/tex]

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

[tex]Treats = \frac{C}{GCF}[/tex]

[tex]Treats = \frac{42}{42}[/tex]

[tex]Treats = 1[/tex]

For L:

[tex]Treats = \frac{L}{GCF}[/tex]

[tex]Treats = \frac{126}{42}[/tex]

[tex]Treats = 3[/tex]

Hence, 1 candy bar and 3 lollipops

Step-by-step explanation:

на я был в bbs я был в душе

Answer:

A) Red and Blue Bulbs

B) 262 lightbulbs.

Step-by-step explanation:

A) red and blue = 85+52=137

Yellow and green = 76+49=125

Answer to A is Red and Blue bulbs

Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.

Hope this helps plz hit the crown :D

Answer:

B, B, A

Step-by-step explanation:

I don't know number 4 answer. hope I helped

9514 1404 393

Answer:

  about 9171 feet

Step-by-step explanation:

It can help to draw a diagram.

The relation between angle, opposite side, and adjacent side in a right triangle is ...

  Tan = Opposite/Adjacent

  tan(63°) = (18000 ft)/(horizontal distance)

  horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft

The horizontal distance to the airport is about 9171 feet.

Answer: D. 25.12 units3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

so first you need to find the volume of the cylinder which is 100.53

Next, you need to divide the volume by 1/4 which will give you 25.13

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

Answer:

$5.40

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!

Answer:

x=4

Step-by-step explanation:

10x- 2(3x)=-16

10x-6x=16

4x=16

x=16/4=4

Answer:

D. it has all the odd number in between 2-20 and in order

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Those are all the odd numbers between 2 and 20

Answer: U = 18

Step-by-step explanation:

U in (-oo:+oo)

U/(-6)+2 = -1 // + 1

U/(-6)+1+2 = 0

3-1/6*U = 0 // - 3

-1/6*U = -3 // : -1/6

U = -3/(-1/6)

U = 18

U = 18

Answer:

-3 (-6u+6) - u = 2 (u-6) - 1​

18u -18 -u = 2u -12 -1

18u-u-2u=-12-1+18

15u= 5

u =5/15 = 1/3

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.

Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

Its a parallelogram but all sides of same length.  Its diagonals are perpendicular bisector of each other, but might not be equal.

That rectangle whose all sides are equal is called a square.

A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).

A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)

If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a

For the given case, the coordinates of  the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)

The diagonals are AC and BD.

Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]

Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]

It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus

Now, finding lengths of the diagonals:

[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]

Thus, their lengths are also same,

This is why, the considered quadrilateral is a square.

Learn more about square here:

https://brainly.com/question/5426789

Answer:

Answer: FIRST OPTION

Step-by-step explanation:

The missing picture is attached.

By definition, given a Quadratic equation in the form:

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

In this case, the exercise gives you this Quadratic equation:

You can identify that the numerical coefficients are:

Therefore, you can substitute values into the Quadratic formula shown above:

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.