Suppose that 17 inches of wire costs 85 cents.
At the same rate, how much (in cents) will 39 inches of wire cost?

Answer with Step-by-step explanation:

We are given that

[tex]f(x)=5x+9[/tex]

[tex]g(x)=3x^2[/tex]

f(x) is linear function

Domain of f(x)=R

g(x) is a quadratic function

Domain of g(x)=R

[tex](f+g)(x)=f(x)+g(x)=5x+9+3x^2[/tex]

Domain of (f+g)=R

(f-g)(x)=f(x)-g(x)=[tex]5x+9-3x^2[/tex]

Domain of (f-g)=R

[tex]fg(x)=f(g(x))=f(3x^2)=5(3x^2)+9=15x^2+9[/tex]

Domain of fg=R

[tex]\frac{f}{g}=\frac{5x+9}{3x^2}[/tex]

The function is not defined where g(x)=0

[tex]3x^2=0[/tex]

[tex]x=0[/tex]

Domain of f/g=R-{0}

Answer:

1/3 or 3/6 they are the same thing

Step-by-step explanation:

Answer:

The probability of rolling an odd number is 5/6

Step-by-step explanation:

probability: desired/all

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3 + 2 = 5

and so the probability is

5/6

Answer:

2155 or 5/11

Step-by-step explanation:

(5/11)4741=5×431=2155 boys

Answer:

x= -3,-9

Step-by-step explanation:

Answer: 9,3

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

To solve, we need to isolate the variable, x

5x-18=2(3x-12) +4

Distribute the 2

5x-18=2*3x + 2*-12 +4

5x-18=6x-24+4

Combine like terms (add -24 and 4)

5x-18=6x-20

Add 18 to both sides

5x=6x-2

Subtract 6x from both sides

-x=-2

Divide both sides by -1

x=2

Answer: [tex]x=2[/tex]

Step-by-step explanation:

1. Get rid of the parenthesis. You can do this by multiplying.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5x-18=6x-24+4[/tex]

2. Move the variables to the left and the numbers to the right. If one of the numbers is not on its side (left or right) and you need to move it, change the sign.

[tex]5x-6x=-24+4+18[/tex]

Solve: Since the result is -1 and we have a variable, we can omit it.

[tex]-x=-24+22[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1 to isolate the x

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

Solve:

[tex]x=2[/tex]

3. Proof: Replace the result in the original equation and both sides should be equal. (this step is for you to make sure that your answer is correct.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5(2)-18=2[3(2)-12]+4[/tex]

[tex]10-18=2(6-12)+4[/tex]

[tex]-8=2(-6)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

As you can see, both sides are equal to each other; which proves that [tex]x=2[/tex] is correct.

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

__________ -

____12y = 24

______y = 24/12

______y = 2

6x + 5y = 4

6x + 5(2) = 4

6x + 10 = 4

6x = 4 - 10

6x = -6

x = -6/6

x = -1

Make as the brainliest answer

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

____________--

12y = 24

y = 24/12

y = 2

6x + 5y = 4 | ×7 |

6x - 7y = -20 | ×5 |

42x + 35y = 28

30x - 35y = -100

______________+

72x = -72

x = -72/72

x = -1

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

We have to find the value of x such that the probability is 0.99

[tex]P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99[/tex]  

Calculation the value from standard normal z table, we have,  

[tex]\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14[/tex]  

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Answer:

The likelihood that a math teacher is selected is 2 out of 5 possible cases or 40% chance.

Step-by-step explanation:

Please kindly check the attached files for explanation

Final answer:

It is likely that a math teacher will be chosen for the dunking booth since the probability is 8 out of 20 or 40%, which is close to a 50% chance.

Explanation:

To determine if it is likely that a math teacher will be chosen for the dunking booth, we need to look at the probability of selecting a math teacher from the total group of teachers. The total number of teachers is the sum of the English, math, science, and social studies teachers, which is 3 + 8 + 5 + 4 = 20. Since there are 8 math teachers, the probability of selecting a math teacher is 8 out of 20, or 40%.

This probability can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, giving us 2 out of 5, or 40%. This indicates that there is a likelihood of 2 in 5 that a math teacher will be chosen, which can be considered likely since it is close to a 50% chance.

Answer:

Square

Step-by-step explanation:

If its 4 sided and two measures are 90 degrees then that means the other two must be 90 degrees. That means its a square or a rectangle. Now since the 4 sides arent all the same and two sides being 6 and two sides being 5, you can rule out it being a square.

Answer:

Is the surface a rectangle?? If so, then the surface area would be 35

Step-by-step explanation:

5 * 7 = 35

Hope this helped!!  :)

Answer:

35 inches

Step-by-step explanation:

Answer:

180 calendars  

Step-by-step explanation:

Given that in one workday he can make 4 calendars

Nine weeks (working five days per week)

=> the total number of days he works is: 9*5 = 45 days

=> the  total number of calendars he can make in nine weeks is:

the total number of days he works * the number of calendars he make in one day

= 45* 4 = 180 calendars  

Hope it will find you well.

Answer:

54

Step-by-step explanation:

multiply 9 x 6 to get the answer above

The area of the picture frame, after subtracting the area of the displayed picture, is 30 square inches.

To find the area of the picture frame, we need to subtract the area of the picture it displays from the area of the entire frame.

The area of the entire frame can be calculated by multiplying its length by its width:

[tex]\[ \text{Area of frame} = \text{Length} \times \text{Width} \][/tex]

Given that the frame is 9 inches long and 6 inches wide:

[tex]\[ \text{Area of frame} = 9 \times 6 = 54 \text{ square inches} \][/tex]

Now, we need to subtract the area of the picture it displays. Since the picture is 6 inches long and 4 inches wide:

[tex]\[ \text{Area of picture} = \text{Length} \times \text{Width} = 6 \times 4 = 24 \text{ square inches} \][/tex]

So, the area of the picture frame is:

[tex]\[ \text{Area of frame} - \text{Area of picture} = 54 - 24 = 30 \text{ square inches} \][/tex]

Therefore, the area of the picture frame is 30 square inches.

Answer:

Coordinate D would be (1,3)

Step-by-step explanation:

The difference between B and C is 2 up and 3 right, so that means the difference between A and D would be the same

D = -2+3, 1+2

D = 1, 3

Answer:

5:15

Step-by-step explanation:

Split the 30 mins in half. 45+15 = 60 (a new hour) Now, its 5:00. Add 15 and you get the answer.

Answer:

Step-by-step explanatio

Answer:

82.5

Step-by-step explanation:

I'm assuming you have to find the area of the triangle to find out how much cardboard she needs so you need the formula:

A =[tex]\frac{1}{2}[/tex]bh

A =[tex]\frac{1}{2}[/tex] 11 x 15

A =[tex]\frac{1}{2}[/tex] 165

A = 82.5

Sorry if its wrong

Answer:

70°

Step-by-step explanation:

Minor angle at the centre:

360 - 250 = 110

Two tangents make an angle of 90° each

90 + 90 + 110 + x = 360

x = 360 - 290

x = 70°

Answer:

In the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Goodluck.

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           [tex]E = \frac{P}{x}*\frac{dP}{dx}[/tex]  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

Answer:

The correct answer is the solution of the system of equations are w = 10 and m = -8. The answer is not at all reasonable.

Step-by-step explanation:

The two system of equations are m + 2w = 12 and m + 3w = 22 where m and w represent the number of men and women working in an office.

We subtract both the sides with each other in order to solve the system of equation.

⇒ m + 3w - m - 2w = 22 - 12

⇒ w = 10.

⇒ m = -8.

The values of w and m are not reasonable at all. Since m and w represent the number of men and women in an office, they cannot be less than zero.

Answer:

$7544 is the amount paid

Step-by-step explanation:

In this question, we are asked to calculate the amount Leeco pay Macy given the data in the question.

Firstly, we calculate the Discount amount.

That would be 1% ( from 1/10)

that is 7,600 * 1% = $76

Now, we proceed to subtract this value from cost of office equipment; 7,600 - 76 = $7,524

Afterwards, we can now add the freight charges = $7,524 + 20 = $7544

Answer: LeeCo. pay Macy 7544 dollars

Step-by-step explanation:

Given that the office equipment was sold at $7,600

And  Sale terms were 1/10, n/30 FOB New York. Macy agreed to prepay the $20 freight.

Then,

7600 - 7600(0.01) + 20

= 7600 - 76 + 20

= 7544 dollars

LeeCo. pay Macy $7544

3 + 7 + 5 = 15 total marbles.

3 red, picking a red would be 3/15, reduced to 1/5

5 blue, picking a blue would be 5/15, reduced to 1/3

7 white, picking a white would be 7/15

Picking all 3 would be: 1/5 x 1/3 x 7/15 = 7/225

Answer:

7/225

Step-by-step explanation:

To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.

The probability of drawing a red marble is: (# of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3/15 = 1/5.

The probability of drawing a blue marble is: (# of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5/15 = 1/3.

The probability of drawing a white marble is: (# of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7/15.

Now, we want these events to all occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) = 7/225.

Thus, the probability is 7/225.

Hope this helps!

Answer:

D

Step-by-step explanation:

The outcomes of events. A and B are dependent on each other.

The question relates to probability in Mathematics, specifically the probability of selecting a red (event A) or a mystery novel (event B) from Chloe's bookshelf. Both probabilities are 7/10 as 7 out of 10 books are red or mysteries. The probability of both A and B occurring simultaneously is 5/10, as 5 out of 10 of the books are red mysteries.

The subject of this question is the calculation of probabilities in Mathematics. Here we have two events: event A, defined as selecting a red book, and event B, defined as selecting a mystery novel. Considering Chloe's bookshelf, she has 7 red books out of a total of 10, meaning that the probability of event A is 7/10. In addition, she has 7 mystery novels out of a total of 10 books, meaning that the probability of event B is 7/10 also.

It can be said that both events A and B are independent, because the colour of the book does not affect what genre it is. Also, it's worth mentioning that the likelihood of both A and B occurring, meaning the selection of a red mystery novel is (5/10) as 5 out of 10 books are red and mysteries.

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Answer:

The correct answer is C! I just got it right:)

Answer:

-47.0

Step-by-step explanation:

The question pertains to Physics, specifically kinematics. The pumpkin's horizontal velocity and distance traveled are given, but without vertical distance, we can't compute the time of flight or height of the building. More information is needed.

The subject of your question is Physics, specifically kinematics, which is the study of motion. Given that the pumpkin was thrown horizontally with a velocity of 2.5 m/s and it landed a horizontal distance of 12m from the base of the building, we could find the height of the building or the time the pumpkin was in the air.

The time it takes the pumpkin to hit the ground depends solely on the vertical motion. So we must find the time it takes for an object to fall from the height of the building. This time of flight can be calculated by using a kinematic formula: 2gh = v², where g is the gravitational acceleration (9.8 m/s² on Earth).

However, as the vertical distance travelled by the pumpkin isn't provided in this problem, we can't calculate the time using the given data. More information is needed to solve this problem appropriately.

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Answer: The answer is B

Step-by-step explanation:

Answer:

A.  9.42

Step-by-step explanation:

Answer:

( C ) "none above"

Step-by-step explanation:

first you start by combining like terms

-2y-8+4y-2y-8+4y

-8+2y-2y-8+4y

-16+4y or 4y-16 would be the max simplification!

hope that helps  

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

Question asked:

How many gallons of gas did the car use on the drive?

Solution:

Before they left, quantity of gas in the tank = [tex]\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons[/tex]

When they returned, quantity of gas in the tank = [tex]\frac{1}{3} \times18=\frac{18}{3} =6\ gallons[/tex]

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.