6.Kelly has been training to run across the country. On the first day, she ran 4 miles, the
second day, she ran 12 miles, and the third day, she ran 36 miles.
a) Write an equation that models Kelly's situation?

Answer:

C and d

Step-by-step explanation:

Answer:

783

Step-by-step explanation:

There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.

The number of seniors is 80, we can substitute this value back into the equation for the mean score of the seniors. The mean score of the seniors is 1.5 * 80 = 120

To find the mean score of the seniors, we can follow these steps:

Let's assume the number of seniors participating in the AHSME is 'x'. Since the number of non-seniors taking the AHSME was 50% more than the number of seniors, we can express the number of non-seniors as 'x + (50% of x)'.
  Simplifying this, the number of non-seniors is 'x + 0.5x' which is equal to '1.5x'.

The mean score of the seniors is 50% higher than that of the non-seniors. This means the mean score of the non-seniors is 'x' and the mean score of the seniors is 'x + (50% of x)'.
  Simplifying this, the mean score of the seniors is 'x + 0.5x' which is equal to '1.5x'.

Given that the mean score of the 100 students who participated in the AHSME was 100, we can set up the equation:
  (x + 1.5x) / 2 = 100
  Simplifying, we get 2.5x / 2 = 100
  Cross-multiplying, we have 2.5x = 200

Dividing both sides of the equation by 2.5, we get x = 80.

Now that we know x = 80, we can substitute it back into the equation for the mean score of the seniors:
  1.5x = 1.5 * 80 = 120

Now that we know the number of seniors is 80, we can substitute this value back into the equation for the mean score of the seniors. The mean score of the seniors is 1.5 * 80 = 120.

The mean score of the seniors is 120.

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The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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Answer:

A.

Step-by-step explanation:

Answer:

6 = 4 mins

Step-by-step explanation:

you have to take 200 and 50 and divide them

200 divided by 50 =4 and you have to tack mins to the end of it

id_k how many class rooms for number 5

and 7 i dk how many weeks there are therefore i cant solve them

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

x = -5

Step-by-step explanation:

9(x+4)=1+2x

9x+36 = 1 + 2x

35 = -7x

Divide

-5 = x

x= -5

\( \: \: \: \: \: \: \: 9(x + 4) = 1 + 2x \\ \\ = > 9x + 36 = 1 + 2x \\ \\ = > 9x - 2x = 1 - 36 \\ \\ = > 7x = ( - 35) \\ \\ = > x = (- \frac{35}{7} ) \\ \\ = > x = \green{\boxed{ - 5}}\)

Answer: Imaginary number

Step-by-step explanation:

Answer:

C is the correct option

Step-by-step explanation:

P=26

A=40

Third

Step-by-step explanation:

Area is 5 time 8 equal 40,perimeter is 2×8＋5×2＝26

Answer:

y = 4x + 19

Step-by-step explanation:

If you plug the points in, you would get 4x + 19.

To compute the surface area of revolution about the -x- axis over the interval [0,1] for y=−3, we can use the formula:

SA = 2π ∫[a,b] y√(1+(dy/dx)²) dx

where a=0, b=1, and dy/dx is the derivative of y with respect to x. In this case, y=−3, so dy/dx=0.

Plugging in these values, we get:

SA = 2π ∫[0,1] -3√(1+0²) dx
SA = -6π ∫[0,1] dx
SA = -6π[x]₀¹
SA = -6π(1-0)

SA = -6π

Since surface area cannot be negative, we take the absolute value of the result, which gives us:
SA = 6π

Therefore, the surface area of revolution about the -x- axis over the interval [0,1] for y=−3 is 6π.

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The table :

Time (x)_____ Altitude (y)

0 _______28500

1 _______ 26378

2 _______24105

3 _______ 21774

4 _______ 19452

5 _______ 17991

Using a linear regression calculator or excel, we could obtain the regression equation :.

The regression equation obtained is :

Ŷ = 28437.191 - 2161.543X

Where :

Ŷ = Predicted value

Intercept = 28437.191

Slope = - 2161.543

X = 8

Ŷ = 28437.191 - 2161.543(8) = 11144.847 feets

Altitude at landing = 0, Ŷ = 0

We solve for X in the equation :

0 = 28437.191 - 2161.543X

0 - 28437.191 = - 2161.543X

- 28437.191 = - 2161.543X

Divide both sides by - 2161.543

- 28437.191 / - 2161.543 = X

X = 13.156

Hence, the land will land in approximately 13 minutes.

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Answer:

29.5 years

Step-by-step explanation:

Answer:

The keyword is than, which means you are subtracting Saturn to Jupiter.

You can fact check you answer by adding the lowest number to your answer.

The length of the plot is 325 meters and the width of the plot is 162.5 meters

The total length of the fencing = 650

The length = 650 - x

The width = x

One side is river

Then the perimeter will be

l + 2w = 650

l = 650 - 2x

Substitute the value of l and w

The area = l × w

= (650 - 2x)x

Here we want to maximize the areas therefore the rate of change of area with respect to x will be zero

Then

650 - 2x = 0

2x = 650

x = 650/2

x = 325 meters

or

x = 0 meter

Then the average = (325 + 0)/2 = 162.5 meters

Then the length = 650 - 2x

= 650 - 2(162.5)

= 650 - 325

= 325 meters

Hence, the length of the plot is 325 meters and the width of the plot is 162.5 meters

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The tank contains 240 liters of fluid in which 50 grams of salt is dissolved. pure water is then pumped into the tank at a rate of 6 l/min; the well-mixed solution is pumped out at the same rate, After 20 minutes, the amount of salt in the tank is still 50 grams.

In order To calculate the amount of salt in the tank after 20 minutes, we basically use the formula:  Salt (in grams) = (Amount of salt in the tank x Time) / Total volume.So, after 20 minutes, the amount of salt in the tank is:  (50 grams x 20 minutes) / 240 liters = 8.33 grams.    

As we can see, both methods produce the same result, confirming that the amount of salt in the tank after 20 minutes is still 50 grams. since the rate of pumping in salt water is equal to the rate of pumping out salt water, so the total amount of salt remains the same.

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A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. pure water is then pumped into the tank at a rate of 6 l/min; the well-mixed solution is pumped out at the same rate. find the number of grams of salt in the tank after 20 minutes

The t-value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom is 2.03.

To calculate the t value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom, we used the t-distribution table. The t-distribution table has two variables: degree of freedom and confidence level.

The first step was to locate the row in the table that corresponds to the given degrees of freedom (df=52). The next step was to locate the column in the table that corresponds to the given confidence level (98%). the t -value for the given df and CL was located at the intersection of the row and column, which is -2.03. essentially the t-distribution table provides a range of values for the amount of variability that is expected within a given sample.

The t-value is the point within the range that will represent the 98% confidence level for the sample with 52 degrees of freedom. the t-value of -2.03 indicates that the sample has a 9.8% chance of falling within a range of values that is two standard deviations away from the mean.

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The cost of 1 drink is $1.20.

How to solve word problems?

Let cost of 1 hamburger be x

cost of 1 drink be y

The equations will be

x + 2y = 6  →  (i)

2x + 2y = 9.60  → (ii)

To solve the equations multiple the equation (i) by 2

2x + 4y = 12

2x + 2y = 9.60

Subtracting the equation (i) and (ii)

2y= 2.4

y = 2.4/1.2

y = 1.2

Hence, the cost of drink is $1.2.

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Answer:

1/8

Step-by-step explanation:

1 pound =16 ounces

1/4 divided by 2 is 1/8

1/8=8 ounces

Answer:

It's B most logically

Step-by-step explanation:

Answer:

its b-(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

Step-by-step explanation:

can someone pls answer my question would be appreciated?

The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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Answer:

d

Step-by-step explanation:

Answer:

when x=2

-2×2+4y=16

4y=16+4

y=20/4=5

again

x=-8

-2×-8+4y=16

4y=16-16

y=0/4=0

We have that the angle is 330°

Now

FP can be determined. FP =FP= 2020.

The probability that a student chosen randomly from the class plays both basketball and baseball is 2/13.

What are outcomes?

An outcome is a potential outcome of an experiment or trial in probability theory. Each conceivable result of a specific experiment is distinct, and many results are incompatible (only one outcome will occur on each trial of the experiment).

Given that the total number of students in the class is 26. 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport.

The number of students who play at least one sport is (26 - 9) = 17.

Assume that n(A) = 6

n(B) = 15.

n(A∪ B) = 17

n(A∪ B) = n(A) + n(B) - n(A∩B)

17 = 15 + 6 - n(A∩B)

n(A∩B) = 21 - 17

n(A∩B) = 4

Therefore 4 students plays both basketball and baseball.

The number of outcomes of favorable event is 4.

The number of total outcomes is 26.

Probability = The number of favorable outcomes/ Total number of outcomes

The probability is 4/26 = 2/13

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Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

In probabilities, variables p and q are often used as complements of another.

The relationship between variables p and q is:

\(\mathbf{p+ q = 1}\)

So, we have:

(a) p = 0.579

Substitute 0.579 for p in \(\mathbf{p+ q = 1}\)

\(\mathbf{0.579 + q = 1}\)

Make q the subject

\(\mathbf{q = 1 - 0.579}\)

\(\mathbf{q = 0.421}\)

The value of q is 0.421

(b) q = 0.871

Substitute 0.871 for q in \(\mathbf{p+ q = 1}\)

\(\mathbf{p + 0.871 = 1}\)

Make p the subject

\(\mathbf{p = 1 - 0.871}\)

\(\mathbf{p = 0.129}\)

The value of p is 0.129

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Answer:−

k4+17k2+22

Step-by-step explanation:

Let be "r" Ryan's age and "p" Peter's age.

According to the information given in the exercise, Ryan is nine years younger than two times his friend Peter's age.

Then, since "two times" indicates multiplication by 2 and "nine years younger" indicates a Subtraction, you can set up the following equation:

You also know that the sum of their ages is greater than six. Then, to represent this you have to use an inequality:

The symbol ">" means "Greater than".

Therefore, the procedure to determine the youngest age Peter can be is to substitute the first equation into the inequality and solve for "p"

Then, Peter is (at least) 6 years old.

Therefore, the answer is: The youngest age Peter can be is 6 years old.