On a quiz show you've made it to the final round. The host explains to you that you can choose from 2 prize plans. In Plan A, you'll win $1,280 guaranteed, plus $40 more for each final round question you answer correctly. Under Plan B, you'll win only $800 guaranteed, but $100 for each question.Complete the following statements (use proper number formatting, such as commas):
The plans will pay the same at
correct questions.

The amount they'll pay at that number of questions is $
.

You think you can answer 9 questions correctly. Which plan should you choose?

Answer:

[tex]x=\frac{32}{3}, y=\frac{2}{3}[/tex]

Step-by-step explanation:

We can multiply the second equation by 2 to eliminate.

[tex]2(y-x)=2(-10) \\ \\ 2y-2x=-20[/tex]

Let's eliminate.

[tex]2x-5y=18 \\ -2x+2y=-20 \\ -3y=-2 \\ y=\frac{2}{3}[/tex]

Now we can substitute back into the equation to find the value of [tex]x[/tex].

[tex]\frac{2}{3}-x=-10 \\ \\ \frac{2}{3}-x=-\frac{30}{3} \\ \\ -x=-\frac{32}{3} \\ \\ x=\frac{32}{3}[/tex]

ANSWER

The system has one solution.

EXPLANATION

The given system is

1st: 5x-3y=10

2nd: 10x+6y=20

Make y the subject in the first equation to get:

[tex]y = \frac{5}{3} x + \frac{10}{3} [/tex]

Solve for y in the second equationquation to get;

[tex]y = - \frac{5}{3} x + \frac{10}{3} [/tex]

The slope of the two equations are not the same.

The two lines will intersect at exactly one point.

.The system has one solution.

Answer:

One solution

Step-by-step explanation:

We are given the following system of equations and we are to tell if the system has one solution, infinite solution, many solutions or no solutions:

[tex]5x-3y=10[/tex] --- (1)

[tex]10x+6y=20[/tex] --- (2)

If we take the common out from (2), we get:

[tex]2(5x+3y) = 20 [/tex]

[tex]5x+3y = 10 [/tex] --- (3)

So adding the two equations (1) and (3) gives 10x=20 ⇒ x=2.

Therefore, this system of equations has one solution.

Answer:

15 degrees

Step-by-step explanation:

3.5 times 10 = 35

50-35=15

Answer:

29 Degrees Fahrenheit

Step-by-step explanation:

So at 4,000 ft. high, it's 50 Degrees Fahrenheit, that means we don't need the first 4,000 because 50 is our starting point. 10,000 - 4,000 = 6,000.

Every 1,000 ft. is down another 3.5 Degrees Fahrenheit, and so first we divide 6,000 by 1,000 to have 6.

Then we multiply 3.5 with 6 to get 21 Degrees Fahrenheit.

50 - 21 = 29 Degrees Fahrenheit.

Answer:

Scale 1 35 ft by 25 ft and Scale 2 56 ft by 40 ft

Step-by-step explanation:

step 1

Find the actual dimensions of a patio with the scale 1

The scale 1 is equal to

1 cm/5 ft

Length=7 cm=7*5=35 ft

Width=5 cm=5*5=25 ft

therefore

The dimensions are 35 ft by 25 ft

step 2

Find the actual dimensions of a patio with the scale 2

The scale 2 is equal to

1 cm/8 ft

Length=7 cm=7*8=56 ft

Width=5 cm=5*8=40 ft

therefore

The dimensions are 56 ft by 40 ft

Answer:

C

Step-by-step explanation:

If Scale 1 is 1 cm:5 ft, multiply 5 and 7 by 5 to get the correct dimensions. 7×5=35 and 5×5=25. If Scale 2 is 1 cm: 8 ft, multiply 5 and 7 by 8 to get the correct dimensions. 7×8=56 and 5×8=40. The answer is: Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft.

Hope this helps!

Answer:

The simple interest is 3.80% per year.

Step-by-step explanation:

We are presented with a simple interest problem and the following information has been availed;

Accumulated amount = 5503.51

Time = 19 years

Principal = 3196

The first step is to determine the total interest earned over the entire time period;

Interest = Amount - Principal

             = 5503.51 - 3196

             = 2307.51

The simple interest formula states the total interest earned is equal to the product of the principal, the interest rate and the time;

[tex]I=\frac{P*R*T}{100}[/tex]

Making R the subject of the formula yields;

[tex]R=\frac{100*I}{P*T}[/tex]

Substituting the values we have and simplifying;

[tex]R=\frac{100*2307.51}{3196*19}=3.80[/tex]

The simple interest is thus 3.80% per year.

I think it’s D. Because A) and B) are not true and im pretty sure that C) is also false

Answer:

its d

Step-by-step explanation:

The next term would be -27

Lets pretend that all the negative signs went away, that way you have the data:

2, 5, 9, 14, 20

^^^In my opinion it just makes it easier because I don't like negative numbers. Keep in mind that the negatives are still there but I just made them "Invisible"

The pic below is how I found the pattern. If you can't tell by the picture from 2 to 5 it increases by 3. From 5 to 9 it increases by 4. From 9 to 14 it increases by 5. From 14 to 20 it increases by 6.

This means the pattern is to increase the number 1 more then the amount the previous number was increased (keep in mind this is the pattern for the positive version and therefore the original pattern would be decreasing (since the bigger a number that is negative is, the farther away it gets from zero, therefor getting smaller.) For the original version the rule would be: it would decrease the number 1 more then the amount the previous number was decreased) <<<Hope that makes sense

That means that 20 will be increased by 7 ( 6+ 1 = 7). Which equals 27. Make the negative sign visible again and your answer is -27.

Let me know if this made sense and if it was helpful!

Answer:

12. Heptagon

13. 14 cm

14. 50°

Step-by-step explanation:

12.

A polygon containing

3 sides is a triangle

4 sides is Quadrilateral

5 Sides is a Pentagon

6 sides is a Hexagon

7 sides is a Heptagon

Our polygon contains seven sides, it is hence a Heptagon

13. RST = ?

S is the mid point of RT

Hence RS = ST

ST = 7 given

Hence RS = 7

RT = RST = RS + ST

= 7 + 7

= 14 cms

14.

∠RSQ = ∠QST = 25°

∠RST=∠RSQ + ∠QST = 25°+ 25° = 50°

Solution:

Given Expression is 1/40* x = 1/8

Step : Define x in the Equation:

Step : Divide the Equation by 8

Step : Do cross multiplication

Step : Arrange it in particular form

____________________________

☞ 1/40x = 1/8

☞ x/40 = 1/8

☞ x = ⅛ × 40

☞ x = 5

.

Therefore, Answer is 5.

x = 5

1/40 of x is the same x divided by 40, so let’s put that into the equation to get x/40 = 1/8.

Now, multiply both sides of the equation by 40 to cancel out the division by 40.

x = 1/8 * 40

x = 40/8

Now, just simplify.

x = 5

Answer:

-3 5 2

Step-by-step explanation:

trust

Answer:

225 feet.

Step-by-step explanation:

15 X 15

Answer:

5 : 3

Step-by-step explanation:

Given in the question that,

total number of animal feet = 26

number of pig's feet = 20

number of chicken's feet = 6

As we know that pig have four legs and chicken have 2 legs so,

number of pigs in the farm = 20/4 = 5

number of chickens in the farm = 6/2 = 3

Questions says that there are 8 heads so we can confirm our calculations as

The ratio of the number of pigs to the number of chickens is

Answer:

[tex]a_{14}=-7[/tex]

Step-by-step explanation:

The given sequence is:

6, 5, 4, 3, 2, . . .

The first term of the sequence is:

[tex]a_1=6[/tex]

The common difference is

d=5-6=-1

The nth term of the sequence:

[tex]a_n=a_1+d(n-1)[/tex]

[tex]a_n=6-1(n-1)[/tex]

[tex]a_n=6-n+1[/tex]

[tex]a_n=7-n[/tex]

When n=14

[tex]a_{14}=7-14=-7[/tex]

Lowest number is 15,147 the highest number is 19,835 simple subtract the lowest from the highest you get 4688

Answer:

The answer is 4,688

Hope this helped : )

Step-by-step explanation:

the range is the difference between the largest and smallest numbers in a set of data.

So, for this set of data. To find the range you subtract 19,835 - 15,147 = 4,688

To solve any questions relating to ages, I find it easier to make a table, like in the picture below.

See picture for answer and clear diagram.

-----------------------------------------------------------------

Notes/Explanations + answer in written form

Let's say that Halley's age now is:              x

That means that her age in 18 years is:      x + 18

It also means that her age 2 years ago is:   x - 2

In the question, we are told that when Halley is 18 years older that her current age, she will be 5 times the age she was when she was 2 years younger than her current age

That means:

Halley's current age + 18 years = 5 times (Halley's current age - 2 years)

So we get this equation (which we solve to get the answer) :

x + 18 = 5 * (x -2)                       ( expand the brackets)

x + 18 = 5x - 10                           (subtract x from both sides)

18 = 4x - 10                                 (add 10 to both sides)

28 = 4x                                       (now divide both sides by 4)

7 = x

Therefore, Halley's current age is 7 years

0 divided 15=0 is your answer

0 divided by 15 is 0.

Anything multiplied or divided by 0 is 0!

It will cost $1040 in the two rooms

For this case we have that the total cost will be given by:

[tex]C {t} = C {b} + C_ {f}[/tex]

Where:

[tex]C_ {b}:[/tex] Cost of installing carpet in the basement

[tex]C_ {f}:[/tex] Cost of installing carpet in the family room

So:

[tex]C_ {b} = 62 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {b} = 806 \ dollars[/tex]

Also:

[tex]C_ {f} = 18 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {f} = 234 \ dollars[/tex]

Thus, the total cost will be:

[tex]C_ {t} = 806 + 234\\C_ {t} = 1040[/tex]

ANswer:

The total cost will be 1040 dollars

Answer:

A) Quadratic

Step-by-step explanation: It has the U shape of a parabola which a quadratic equation has.

Answer:

The correct option is A.

Step-by-step explanation:

In a scatter plot the best fit curve in known as regression curve. Types of regression curves are

1. Linear regression line : If the best fit of a data is a straight line, then it is known as linear regression line.

2. Quadratic regression : If the best fit of a data is a U-shape curve, then it is known as quadratic regression.

3. Exponential regression : If the best fit of a data is an exponential curve, then it is known as exponential regression.

From the given graph it is clear that scatter data forms a U-shaped curve. Since the best fit of a data is a U-shape curve, therefore the quadratic regression model is best for the data.

Thus, option A is correct.

If [tex]A^C[/tex] has occurred, then [tex]A[/tex] cannot occur, so the probability is 0.

This follow directly from the definition of conditional probability:

[tex]P(A\mid A^C)=\dfrac{P(A\cap A^C)}{P(A^C)}[/tex]

but [tex]A[/tex] and [tex]A^C[/tex] are disjoint, so the probability of their intersection is 0.

Answer:

B.

Step-by-step explanation:

someone please answer

Answer:

A

Step-by-step explanation:

I did the same test

it it c becauee I had already learned this

Answer:

Step-by-step explanation:

Height:  h(t)= -0.2t^2+2t  =  2t(-0.1t + 1)

-0.2t^2+2t  is  a quadratic expression with a = -0.2 and b = 2.

The ball reaches its max height at t = -b/(2a).

Here, t = -2 / (2·[-0.2] ), or  t = 2/0.4 = 5 (sec)

The ball reaches its max height at at 5 sec.

The max ht. of the ball is h(5) = -0.2(5 sec)^2 + 2(5 sec) = (-5 + 10) sec, or 5 ft.

To determine after how many sec the ball reaches the ground, we set h(t) = 0 and solve for t:  

h(t)= -0.2t^2+2t = 0 = 2t(-0.1t + 1).  Thus, t = 0 sec or t = 10 sec

The ball reaches the ground again after 10 sec.

Answer:

20.25π

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← r is the radius

given C = 9π, then

2πr = 9π ( divide both sides by 2π )

r = [tex]\frac{9\pi }{2\pi }[/tex] ( cancel the π on numerator/denominator )

  = 4.5

The area (A) of a circle is calculated using the formula

A = πr² = π × 4.5² = 20.25π

Answer:

Step-by-step explanation:

Ratio is a relationship between two numbers indicating how many times the first number contains the the second.

Proportion is a part or share or number considered in comparative relation to whole.

So Ratio and Proportion wouldn't go under the same category.

I hope this would help you!!

Answer:

0.25

Step-by-step explanation:

there are 4 numbers that are less than 5.

1,2,3,4 make a fraction 1/4

which equals 0.25

sorry if this wasn't a good explanation..

Answer:

4/6 = 0.67

Step-by-step explanation:

I would say 45 degrees

The whole square is 360 degrees because each corner is a 90 degree angle

Which means each triangle section would be 90 degrees but angle 2 is cut in half, so half of 90 is 45

Hope this helps :)

376900x.2= 75380.......

To find 20 percent of 376,900, multiply it by 0.2, which equals 75,380.

To find 20 percent of 376,900, you can multiply 376,900 by 0.2.

20 percent, written as a decimal, is 0.2.

Multiplying 376,900 by 0.2 gives you 75,380.

https://brainly.com/question/32197511

#SPJ12

Answer:

32 degrees

god bless all

plz pray for my dead great grandfather

yes B is the correct answer, the perimeter would be 16

Answer:

B and 16

Step-by-step explanation:

It's B because all the other answers would make a rectangular shape. You can find the plots on the lie by figuring out what coordinate each number is. For example, (3,1) the 3 is the x coordinate and 1 is the y coordinate. To find the perimeter you count the the boxes between the dots. 1 side is 4 and since it's the other sides are 4 you add it up to get 16 units squared.

Answer:

The equation is -3x^2 + 30x + 225 = 0, and the number of days is 15.

Step-by-step explanation:

I assume an x is missing, and the function is h(x) = -3x^2 + 30x + 225

You want to know the number of days in which the function value is zero.

-3x^2 + 30x + 225 = 0

Divide both sides by -3.

x^2 - 10x - 75 = 0

(x - 15)(x + 5) = 0

x - 15 = 0 or x + 5 = 0

x = 15 or x = -5

We discard the negative solution.

Answer: The equation is -3x^2 + 30x + 225 = 0, and the number of days is 15.

Answer:

h(x) = -3 (x + 5) (x - 15)

Step-by-step explanation:

h(x) = -3x^2 + 30 + 225

      = -3(x^2 - 10x - 75)

      = -3(x + 5)(x - 15)

      x = -5    x = 15