9.9=3.1 - 3.4x solve for x

The algebraic expression that translates the given phrase is 2c + 15, where c is the amount of Chrissy's savings.

To translate the phrase "15 more than twice Chrissy's savings" into an algebraic expression:

1. First, we need to identify the variable. In this case, the variable is c, which represents Chrissy's savings.
2. Next, we need to identify the operations and numbers involved in the phrase. The phrase "twice Chrissy's savings" means that we need to multiply c by 2.
3. The phrase "15 more than" means that we need to add 15 to the result of the multiplication.
4. Putting these steps together, we get the algebraic expression 2c + 15.

So the final answer is 2c + 15.

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Answer:900 yards

Step-by-step explanation:

Unit rate would be 600/2 meaning 300 yards would be done in a third of an hour. Multiply that be 3 (3 thirds is 1) and 300x3=900
pretty straightforward :)

The equation 3x² - 12x - 15 = 0 when solved by factoring has the solutions x = 5 and x = -1

The equation 3x² - 12x - 15 = 0, is a representation of the equation in the question.

The aforementioned problem is a quadratic equation, and factoring is one way to solve this kind of issue.

Divide 3 from the equation.

As a result, we have the following

x² - 4x - 5 = 0.

Expanding the equation, we get

x² + x - 5x - 5 = 0.

Factoring the equation, we get

x(x + 1) - 5(x + 1) = 0

The result is

(x - 5)(x + 1) = 0.

We can solve for x by getting

x = 5 and x = -1.

Thus, the equation's answers are 5 and -1.

And it means that there are actually two solutions to the equation.

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Answer:

yellow candies:__96_ total

green candies:___72_ total

so there will be _24__ more yellow then green candies

Step-by-step explanation:

Answer:

Step-by-step explanation:

yellos candies 42 bceuase 82 divided by it you gergt it and green 4 becase you duve it

The price per pound of the apples is $3.50. This is calculated by dividing the total cost, $7.00, by the weight of the apples, 2 pounds.

The price per pound of the apples can be found by dividing the total cost by the weight of the apples. In this example, the total cost of the apples is $7.00 and the weight is 2 pounds. To calculate the price per pound, divide 7.00 by 2. This gives us 3.50, which is the price per pound of the apples. Knowing the price per pound is useful when you are trying to figure out how much a certain amount of apples will cost. For example, if you wanted to buy 5 pounds of apples, you would multiply 5 by 3.50, which would give you $17.50. This is the total cost of the 5 pounds of apples. In addition to helping you figure out how much certain amounts of apples will cost, knowing the price per pound can also help you compare prices between stores. For example, if you found apples for $4.00 per pound at one store, and $3.50 per pound at another store, you could easily determine which store has the better deal.

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Given that Line segment AB ║ LIne segment DC, and Line segment AD ║ Line segment BC,

1)  Note that ∠78° and ∠ABC are Supplementary Angles on the basis of angles on a straight line. Thus,

∠ABC = 180 - 78 = 102°

2) Note that ∠ABC  and ∠BCD are  Supplementary Angles on the basis of Adjacent Angles in a parallelogram.

Thus,
∠BCD = 180° - 102° = 78°

3) ∠CDA = 102° on the basis of Opposite angles of a parallelogram
4) ∠DAB = 78°  on the basis of Opposite angles of a parallelogram

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Answer:

12ft: 1sec

Step-by-step explanation:

180ft : 15sec

180÷15=12

15÷15=1

soooo it's

12ft : 1sec in the lowest term

Uncle Moneybags can withdrawal approximately $583.67 per month.

To find out how much Uncle Moneybags can withdraw each month, we can use the formula for the future value of an annuity:

FV = PMT × [(1 + i)ⁿ - 1] / i

Where:
FV = future value
PMT = payment amount
i = interest rate per period
n = number of periods

In this case, we want to solve for PMT, so we can rearrange the formula to:

PMT = FV × i / [(1 + i)ⁿ - 1]

We know that FV = $500,000, i = 8% / 12 = 0.00667, and n = 25 × 12 = 300. Plugging these values into the formula, we get:

PMT = $500,000 × 0.00667 / [(1 + 0.00667)³⁰⁰ - 1]

PMT = $500,000 × 0.00667 / 5.7435

PMT = $583.67

Therefore, Uncle Moneybags can withdraw $583.67 each month for 25 years.

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As the variance/mean ratio is significantly greater than 1, the population is found to be a clumped distribution.

A clumped distribution, also known as an aggregated distribution, is a pattern of dispersion or arrangement of individuals within a population where they are found in groups or clusters. This means that individuals within a population are more likely to be found in certain areas, while other areas may have few or no individuals.

From the table in the attached image, it can be seen that

the variance= sum of (x -  0.6)^2/ sum of frequency

= 362.88/288

= 1.26

Variance/mean = 1.26/0.6 = 2.1 which is greater than 1

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The company's profit for selling 10 tractors is $48700.

The total revenue (in hundreds of dollars) for the tractor company, when selling n tractors, is P = 4.4n^(2) + 5n - 3, where n is the number of tractors sold and P is in hundreds of dollars.

To find the company's profit for a given number of tractors sold, we can plug in the value of n into the equation and solve for P.
For example, if the company sells 10 tractors, we can plug in n=10 into the equation:

P=4.4(10)^(2)+5(10)-3
P=4.4(100)+50-3
P=440+50-3
P=487

Therefore, the company's profit for selling 10 tractors is $48700 (since P is in hundreds of dollars).

Similarly, we can plug in different values of n to find the company's profit for different numbers of tractors sold.

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The expected number of throws required is 243/8, or approximately 30.375.

The key to solving this problem is to find the probability that each player will be the odd man out on each flip of the coin, and then use this to calculate the expected number of throws required to eliminate one player.

Let E(l, m, n) be the expected number of throws required to eliminate one player when Hamlet starts with l coins, Rosencrantz starts with m coins, and Guildenstern starts with n coins. We can write the following recursive equations:

E(l, m, n) = 1 + (1/2)(E(l-1, m+1, n) + E(l+1, m-1, n))

E(l, m, n) = 1 + (1/2)(E(l, m-1, n+1) + E(l, m+1, n-1))

E(l, m, n) = 1 + (1/2)(E(l+1, m, n-1) + E(l-1, m, n+1))

The first equation gives the expected number of throws required when Hamlet is the odd man out, the second equation gives the expected number of throws required when Rosencrantz is the odd man out, and the third equation gives the expected number of throws required when Guildenstern is the odd man out.

Using these equations, we can solve for E(14, 6, 6) to get the expected number of throws required when Hamlet starts with 14 coins and Rosencrantz and Guildenstern each start with 6 coins:

E(14, 6, 6) = 243/8

Therefore, the expected number of throws required is 243/8, or approximately 30.375.

We use a recursive approach to find the expected number of throws required to eliminate one player, starting from the initial configuration of 14-6-6 coins. At each step, we consider the three possible cases where one of the players is the odd man out, and calculate the expected number of throws required to eliminate that player. We then take the average of these three values, weighted by the probability that each player will be the odd man out on the next flip of the coin. We repeat this process until only one player is left.

The final answer, 243/8, represents the expected number of throws required to eliminate one player, starting from the initial configuration of 14-6-6 coins. This means that, on average, it will take about 30.375 throws of the coin to eliminate one player and reduce the game to a two-player game.

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The solution is, (x + 6) and (2x - 5) are the factors of polynomial

2x^2 + 7x - 30.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

A binomial is a two-term polynomial.

For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.

here, we have,

given that,

2x^2 + 7x - 30 is the polynomial .

now, we have to factorize it.

so, we get,

2x2 + 7x - 30

2x2 + 12x - 5x - 30

2x( x + 6) - 5( x + 6)

so, we have,

(x + 6) and (2x - 5) are the factors.

Hence, The solution is, (x + 6) and (2x - 5) are the factors of polynomial

2x^2 + 7x - 30.

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Answer:

B. y=7x

Step-by-step explanation:

A direct proportion is where the ratio is constant. The ratio will stay the same. Therefore, y = 7x, this ratio will stay constant making it a direct proportion.

Hope this helps : )

Answer:

see below

Step-by-step explanation:

84

i took the test

Answer:

$109+$281=x when x=391

so that means a laptop equals $391 dollars

As a result, the missing angles' measurements are as follows: 3.75 parallel lines degree angle; 105 degrees at angle 4.; 75 degrees at angle 5.; 105 degrees at angle 6.

In geometry, parallel lines are coplanar infinite lines that never cross. Parallel planes are those in a three-dimensional space that never intersect. Parallel curves are those having a continuous minimum separation between them and no points of touch or junction. In geometry, parallel lines are two lines that are in the same plane, equally spaced apart, and never cross. Both vertical and horizontal can be used. With commonplace items like railroad tracks, stacks of notebooks, and pedestrian crossings, parallel lines may be seen.  

Two parallel lines are crossed by a transversal in the example illustration. To locate the missing angles, we may make advantage of the characteristics of angles created by parallel lines and a transversal.

Angle 3: If angles 1 and 3 are equivalent angles and angle 1 is 75 degrees,

Angle 4: As angles 2 and 4 are equivalent angles and angle 2 is 105 degrees,

If angles 1 and 5 are alternative internal angles, and angle 1 is 75 degrees,

Angle 6: If angles 2 and 6 are alternative internal angles, and angle 2 is 105 degrees,

As a result, the missing angles' measurements are as follows:

3.75 degree angle

105 degrees at angle 4.

75 degrees at angle 5.

105 degrees at angle 6.

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The value [tex]Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.

Given that,

The value [tex]Sin\theta[/tex] is [tex]\frac{21}{29}[/tex],

We have to determine,

The value of [tex]Cos\theta[/tex]?

According to the question,

To determine the value of [tex]Cos\theta[/tex] following all the given below.

The formula of [tex]Sin\theta[/tex] is,

[tex]Sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

On comparing to the given value of [tex]Sin\theta[/tex] is,

[tex]Sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sin\theta=\dfrac{21}{29}[/tex]

Here, Hypotenuse = 29, and Perpendicular = 21

Then,

The formula of [tex]Cos\theta[/tex] is,

[tex]Cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

Let, the base be x,

The value of base finding by using Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](29)^2=(21)^2+(x)^2[/tex]

[tex]841=441+x^2[/tex]

[tex]x^2=841-441[/tex]

[tex]x^2=400[/tex]

[tex]x=20[/tex]

The value of the base is 20.

Therefore,

[tex]Cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]cos\theta=\dfrac{20}{29}[/tex]

Hence, The value [tex]Cos\theta[/tex] is 20/29.

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Answer:

Step-by-step explanation:

The solution of inequality is n < - 9

Answer:

Answer is C

Step-by-step explanation:

using long divison:

Answer:

Remove the S and you have IX which is the roman numeral for 9

Answer:

Take away the S and you have IX that would make the roman numeral 9.

Step-by-step explanation:

You're welcome.

The possible rational zeros for the given function are ±1, ±2, ±3, ±6.

The Rational Zero Theorem states that if f(x) = anxn + an-1xn-1 + ... + a1x + a0 is a polynomial with integer coefficients, then any rational zero of f(x) must be of the form p/q, where p is a factor of the constant term a0 and q is a factor of the leading coefficient an.

For the given function f(x)=-2x^(3)+x^(2)-4x+6, the constant term is a0 = 6 and the leading coefficient is an = -2.

The factors of the constant term are ±1, ±2, ±3, and ±6, and the factors of the leading coefficient are ±1 and ±2.

Therefore, the possible rational zeros for the given function are ±1/±1, ±2/±1, ±3/±1, ±6/±1, ±1/±2, ±2/±2, ±3/±2, and ±6/±2, which simplifies to ±1, ±2, ±3, and ±6.

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The perimeter of a regular octagon, we use the expression 8s, where s represents side length. The perimeter of a regular octagon with side length 1.5 feet is equals to the 12 feet.

Regular octagon is a polygon with eight sides. The perimeter of a polygon is equals to the sum of all its sides. All eight sides of regular octagon are same measure. So, in other words the perimeter of Regular octagon is equal to eight times the length its side. Here,

Side length of a regular octagon

= 1.5 feet

=> Perimeter = 8 × 1.5 feet [An octagon has 8 sides]

=> Perimeter = 12 feet

Hence, required perimeter is 12 feet.

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No paint job, no trims, no extra things on the car.

The term "basic" in a car advertisement could have different meanings depending on the context. It could refer to a stripped-down version of a car model that has fewer features and is more affordable, or it could refer to a car that has all the necessary features without any unnecessary add-ons.

In general, when a car is described as "basic," it suggests that the car has a minimal set of features and functions that are essential for driving, but may not have all the bells and whistles that come with higher-end models. A basic car may have a standard transmission, basic stereo system, cloth seats, and manual windows, for example, without any additional features like a sunroof or heated seats.

However, it's important to note that the term "basic" can be subjective and vary depending on the brand, model, and price point. What one person considers basic, another may see as luxurious. So, it's always a good idea to review the specific features and specifications of a car before making a purchase decision, rather than relying solely on advertising language.

The probability a firm will have a stock price of at least $40 is 0.1112. There should be 40.50 stock price have to be to put a firm in the top 10%.  The correct answer is e) None of the answers are correct.

(i) To find the probability that a firm will have a stock price of at least $40, we need to find the z-score for $40 and use the standard normal table to find the corresponding probability. The z-score is calculated as (x - μ)/σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

In this case, the z-score for $40 is (40 - 30)/8.20 = 1.22. Using the standard normal table, we find that the probability of a z-score less than 1.22 is 0.8888. Therefore, the probability of a stock price of at least $40 is 1 - 0.8888 = 0.1112.

(ii) To find the stock price that puts a firm in the top 10%, we need to find the z-score that corresponds to the 90th percentile in the standard normal table. The z-score for the 90th percentile is 1.28. We can then use the formula x = μ + zσ to find the stock price that corresponds to this z-score. In this case, the stock price is 30 + 1.28(8.20) = 40.50.

Therefore, the correct answer is (i) 0.1112 and (ii) 40.50.

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David will need to fill the measuring cup 15 times in order to fill the 5 bottles.

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Each bottle holds 3/4 of a quart, and his measuring cup holds 1/4 of a quart.

David will have to fill his measuring cup 3 times in order to fill 1 bottle of capacity 3/4 quarts.

For 5 bottles, it will be 3*5 times which results in 15 times.

Thus, David will need to fill the measuring cup 15 times in order to fill the 5 bottles.

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The greatest common factor of the two expressions 18y^(7)w^(2)u^(8) and 30y^(5)w^(4)u^(6) is 6y^(5)w^(2)u^(6).

The greatest common factor (GCF) of two expressions is the largest expression that divides both of the expressions. To find the GCF of the two expressions 18y^(7)w^(2)u^(8) and 30y^(5)w^(4)u^(6), we need to find the highest power of each variable that divides both expressions.

The GCF of the coefficients 18 and 30 is 6.

The highest power of y that divides both expressions is y^(5).

The highest power of w that divides both expressions is w^(2).

The highest power of u that divides both expressions is u^(6).

So, the GCF of the two expressions is 6y^(5)w^(2)u^(6).

Therefore, the greatest common factor of the two expressions 18y^(7)w^(2)u^(8) and 30y^(5)w^(4)u^(6) is 6y^(5)w^(2)u^(6).

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The average number of completed good units is 920

A Markov chain is a type of sequential machine that can be used to model the process of inspection and reworking in this question. The Markov chain will have four states: Machine I, Machine II, Inspection, and Junked.

(a) To determine the average number of visits to each state for a part starting at Machine I, we can create a transition matrix with the probabilities of moving from one state to another. The transition matrix will look like this:

| 0.92  0.05  0.03  0    |
| 0.07  0.85  0.03  0.05 |
| 0    1     0     0    |
| 0    0     0     1    |

The first row represents the probabilities of moving from Machine I to each of the other states. The second row represents the probabilities of moving from Machine II to each of the other states. The third row represents the probabilities of moving from Inspection to each of the other states. The fourth row represents the probabilities of moving from Junked to each of the other states.

To find the average number of visits to each state, we can multiply the transition matrix by a vector representing the initial state. In this case, the initial state is Machine I, so the vector will be [1 0 0 0]. Multiplying the transition matrix by this vector will give us the average number of visits to each state:

| 0.92  0.05  0.03  0    |   | 1 |   | 0.92 |
| 0.07  0.85  0.03  0.05 | * | 0 | = | 0.07 |
| 0    1     0     0    |   | 0 |   | 0.03 |
| 0    0     0     1    |   | 0 |   | 0    |

So the average number of visits to Machine I is 0.92, the average number of visits to Machine II is 0.07, the average number of visits to Inspection is 0.03, and the average number of visits to Junked is 0.

(b) If a batch of 1000 units is started on Machine I, we can use the same transition matrix to find the average number of completed good units. We will multiply the transition matrix by a vector representing the initial state of 1000 units on Machine I:

| 0.92  0.05  0.03  0    |   | 1000 |   | 920 |
| 0.07  0.85  0.03  0.05 | * | 0    | = | 70  |
| 0    1     0     0    |   | 0    |   | 30  |
| 0    0     0     1    |   | 0    |   | 0   |

The average number of completed good units is 920.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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