Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were sold for a total revenue of $7,500, how many of each each type of ticket were sold? 1. Front – 145, Back – 255 2. Front – 140, Back – 260 3. Front – 155, Back – 245 4. Front – 150, Back – 250

Answer:

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

the key features are the vertex, axis of symmetry, x and y intercept

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

Answer:9/5

Step-by-step explanation:

Answer:

=$339,627.36

Step-by-step explanation:

PV = FV/(1+R)^n

where

PV = Present Value

FV = Future Value

R = Rate

n = number of periods

PV

Year 1=$80,000

Year 2=$140,000

Year 3=$220,000

r=12%=0.12

Year 1:

PV=80,000 / (1+0.12)^1

=80,000 / 1.12

=$71,428.57

Year 2:

PV=140,000 / (1+0.12)^2

=140,000 / (1.12)^2

=140,000 / 1.2544

=$111,607.14

Year 3:

PV=220,000 / (1+0.12)^3

=220,000 / (1.12)^3

=220,000 / 1.404928

=$156,591.65

Value of the factory= 71,428.57 + 111,607.14 + 156,591.65

=$339,627.36

Answer:

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

f(x) = a b^x

Let x = 0

5 = a * b^0

5 = a*1

a = 5

Let x = 1

8 = 5 * b^1

Divide each side by 5

8/5 = b

f(x) = 5 * ( 8/5) ^x

Answer:

[tex]\Large \boxed{\frac{35}{6} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{700}{120}[/tex]

Reduce and simplify the fraction to lowest terms.

[tex]\displaystyle \frac{20(35)}{20(6)}[/tex]

[tex]\displaystyle \frac{35}{6}[/tex]

Answer:

1 Hour and 30 Minutes

OR

1 1/2 Hours

Step-by-step explanation:

Convert 2 1/2 hours to minutes.

That is 150

Multiply 2/5 with 150.

Subtract that from 150.

It gives 120 minutes.

Convert that back to Hours.

You get 1 Hour and 30 Minutes or 1 1/2 Hours.

A fraction is a way to describe a part of a whole. The time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that Jasmine has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. Therefore, the time spent on preparing snacks is,

Time spent on preparing for snacks = 2 1/2 - 2/5

                                                            = 5/2 - 2/5

                                                            = 2.5 - 0.4

                                                            = 2.1 hours

                                                            = 2 1/10

Hence, the time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.

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Answer:

h,k,i,m,g,l

Step-by-step explanation:

I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong.  f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)

The answer is given in the image below.

One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.

The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.

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Answer:

0.15866

Step-by-step explanation:

To solve for the above question, we use z score formula

z = (x - μ) / σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

x is the raw score = 70.5

μ is the population mean = 70

σ is the population standard deviation = 0.5

z = 70.5 - 70/ 0.5

z= 0.5/0.5

z = 1

We used the z score table to find the probability of z = 1

P( x = z) = P(x = 70.5)

= P( z = 1) = 0.84134

Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as

P(x>70.5) = 1 - P(x =70.5)

P(x>70.5) = 1 - 0.84134 = 0.15866

Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.

Answer:

PQ = 58

Perimeter = 250

Opposite sides are congruent

Step-by-step explanation:

PQ = 58:

Because PQRS is a parallelogram, PQ equals RS.

1. Set up the equation and solve

7x + 16 = 5x + 28

2x = 12

x = 6

2. Plug in x into PQ

7(6) + 16 = 58

Perimeter = 250:

PQ = RS and QR = SP

1. Add the sides

58 + 58 + 67 + 67 = 250

Opposite sides are congruent:

definition of a parallelogram

Answer:

[tex]\boxed{factor}[/tex]

Step-by-step explanation:

Hey there!

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

Hope this helps :)

Answer:

the answer is (d) 57°

Step-by-step explanation:

since it's a straight angle it equals to 180°

you divide 180° from 123°

Answer:

15.6 ft²

Step-by-step explanation:

Given:

Radius (r) of circle = 5.7 ft

m<CBD = 55°

Required: Area of the shaded sector

SOLUTION:

Area of shaded sector = θ/360*πr²

Where,

θ = 55°

π = 3.14

r = 5.7 ft

Plug in your values

[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]

[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]

[tex] Area = 15.59 [/tex]

Area of shaded sector to nearest tenth = 15.6 ft²

Answer:

unij.,hsakj hdku ugkzsssssssjbfskjgfbskufjbghjbgfhjbghbfkjhbfsdf  mdftedtmtedemedeedttfgtubjcufttttttttgxdcgfvcdhfvvvvvdyuyuyuyfyfyfftftftftftyytftfftftffttyfjvhghfhgfghfgfghfhgfghfhgfghfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfhf

Step-by-step explanation:

u suck balls

Answer:

G = 1, 9.

Step-by-step explanation:

There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.

Answer:

C

Step-by-step explanation:

you multiply each dot by the fraction of hours it is under. you add everything up and you should get 66/8 which is equivalent to 8 and 1/4

Answer:

Is c

Step-by-step explanation:

For plato Users

Answer and explanation:

A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa

An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

the numbers - [tex]x,2x,3x[/tex]

[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]

6,12,18

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

Answer:

Step-by-step explanation:

area of rectangle=120

find area of CPD

area=1/2  (area of the rectangle)

area =  1/2×120=60

The area of triangle CPD IS 30 square units.

If the area of the rectangle is 120, then the area of triangle CPD is 30.

The area of a rectangle is given by the formula:

Area = length × width

In this case, the length of the rectangle is 120/width.

The area of a triangle is given by the formula:

Area = (1/2) × base × height

The base of triangle CPD is the width of the rectangle, and the height of triangle CPD is half the length of the rectangle.

Therefore, the area of triangle CPD is:

(1/2) × width × (120/width) = 30

So the answer is 30.

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Answer:

x=115

Step-by-step explanation:

180 - (115) =65(triangle)

65 + x = 180(on a line)

x=180-65

x = 115

Answer:

115 degrees

Step-by-step explanation:

the person above me is right, but there is an easier way.

Just add 50 and 65 degrees and boom you have your answer.

Answer:

(B) has the closest values.

Step-by-step explanation:

Solve the triangle: A = 51°, b = 14, c = 6

A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9

B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9

C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9

Using the cosine rule,

a^2 = b^2+c^2-2bc (cos(A))

= 196+36 - 2(14)(6)cos(51)

=  196+36 - 105.72

= 126.27

a = sqrt(126.27)

= 11.24

using sine rule,

sin(C)/sin(A) = 6/11.24

sin(C) = 6/11.24*sin(51)= 0.41495

C = arcsin(0.41495 = 24.5 degrees, reasonably close to the given value, probably due to the answer used the rounded value of a.

B = 180-51-24.5 =104.5

Out of the given options, only (B) has the correct value of a and C

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )

Step-by-step explanation:

Introduction

Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.

Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.

Answer:

5/8

Step-by-step explanation:

(10 +/- √100-104)/4

(10 +/- 2i)/4

5/4 +/- 1/2i

5/4 * 1/2 = 5/8

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

Answer:

280 tons of wood

Step-by-step explanation:

Khan

Answer:

The probability is 1/4

Step-by-step explanation:

In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.

Now, mathematically the probability will be;

number of even numbers less than 7/total number of outcomes

Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.

Please check attachment for this.

Now from the constructed table, we can find the number of even numbers less than 7.

By counting, we can see that the we have 9 even numbers which are less than 7

Thus, the probability of selecting an even number which is less than 7 is;

9/36 = 1/4

Answer:

no solution

Step-by-step explanation:

1/3(12-6x)=4-2x

4-1.3x=4-2x

4=4-0.7x

0=0.7x

ns

Answer:

{(1, 2), (3, 2), (5, 7)}

Step-by-step explanation:

A function has a one to one correspondence

Each x can go to only 1 y value

{(1, 2), (3, 2), (5, 7)} function

{(3, 5), (-1, 7), (3, 9)} 3 goes to more than 1 y value

{(1, 2), (1, 4), (1, 6)} 1 goes to more than 1 y value

Answer:

[tex]\huge \boxed{ \{(1, 2), (3, 2), (5, 7)\} }[/tex]

Step-by-step explanation:

[tex]\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.[/tex]

[tex]\{(1, 2), (3, 2), (5, 7)\} \ \sf represents \ a \ function.[/tex]

[tex]\{(3, 5), (-1, 7), (3, 9)\} \ \sf does \ not \ represent \ a \ function.[/tex]

[tex]\{(1, 2), (1, 4), (1, 6)\} \ \sf does \ not \ represent \ a \ function.[/tex]

Answer:

y = - [tex]\frac{1}{16}[/tex](x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

[tex]\sqrt{(x-1)^2+(y+2)^2^}[/tex] = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - [tex]\frac{1}{16}[/tex] (x - 1)² + 2

Answer:

I’m not entirely sure what the question is asking but...

The spinner has a 1/4 chance of landing on green

with this, being a 12 section game wheel, it means that 3 of the sections are green.