What is the value of x in the equation 5/2x + 2 = 3.5
ahh math

Answer:

y=18

Step-by-step explanation:

pls give brainliest

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

I don't know what I am suppose to answer

Answer:

x = 25.5

Step-by-step explanation:

suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees

2x + x + x 78 = 180 add like terms then subtract 78 from both sides

4x = 102 divide both sides by 4

x = 25.5

Usando el interés compuesto, se encuentra que el interes obtenido es de 1609.

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

En que:

En este problema, los parámetros son:

\(P = 9500, t = \frac{900}{365} = 2.4658, r = 0.065, n = 1\)

Por eso:

\(I(t) = P\left[\left(1 + \frac{r}{n}\right)^{nt} - 1\right]\)

\(I(2.4658) = 9500\left[\left(1 + \frac{0.065}{1}\right)^{2.4658} - 1\right]\)

\(I(2.4658) = 1609\)

El interes obtenido es de 1609.

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The interest earned on the amount is 1,595.05.

The formula for calculating the compound interest is expressed as:

A = P(1+r)^t

A = 9500(1+0.065)^2.4658

A = 9500(1.065)^2.4658

A = 11,095.05

Interest = Amount - Principal

Interest = 11,095.05 - 9500

Interest = 1,595.05

Hence the interest earned is 1,595.05.

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Answer:

-$14

Step-by-step explanation:

3/6 of the possibilities while the other is 2/3 and 1/3.

Answer:

3.2 x 4.1= 13.12

Step-by-step explanation:

3.2

4.1

____

3.2

+ 12.0=. 13.12

The shape of a graph will depend on the type of data being represented. If the data is normally distributed, the graph will have a bell-shaped curve. If the data is skewed, the graph will have a longer tail on one side.

An approximation of the mean can be determined from the graph by locating the highest point on the graph, which represents the mode, and estimating the midpoint of the range of values around the mode. This midpoint can be used as an approximation for the mean. However, this method may not be accurate if the data is skewed or has outliers.

It is important to note that the mean is a measure of central tendency that represents the average value of a set of data. It is calculated by adding up all the values in the data set and dividing by the total number of values. While the mean provides a useful summary of the data, it can be sensitive to extreme values or outliers. In such cases, other measures of central tendency such as the median or mode may be more appropriate.

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When you draw the shape out you dont get a triangle

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

Answer:

A. x+y=16; 2x+3y=39

Step-by-step explanation:

The total number of shots made is the amount of 2 points and 3 point shots made. The amount of points is the number of 2 point shots made (x) times 2 and the amount of 3 point shots made (y) times 3. So A is the answer

Answer:

Answer is 39 Hope you did well on your work

Answer:

See attached worksheet.

Step-by-step explanation:

The worksheet summarizes the steps for analyzing the data on the graph.  Note that a "line of best fit" was drawn to help illustrate the linear behavior of the data, and to better the question concerning hours of sunshine in another British town.  There are techniques for ensuring a line such as this fits the actual data as closely as possible.  These techniques draw a line that has the least overall deviation from the actual data.  For our purposes, a hand-drawn line appears to match the data reasonably well, so we are able to concule that the relationship is liner:  There is a proportional change in y for every set change in x.  That change is known as the slope.  The slope of this liner would represent the direct relationship between hours of sun and maximum temperature.

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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Answer:

B y = x² +9

Step-by-step explanation:

A quadratic function must have the highest power of x being x^2 and must have an x^2 term

A y = X-9  - linear

B y = x² +9 quadratic

C y = x + 2x -9 - linear

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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Answer:

x=10

Step-by-step explanation:

Simplify each side of the equation by removing parentheses and combining like terms.

Use addition or subtraction to isolate the variable term on one side of the equation.

Use multiplication or division to solve for the variable.

The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

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

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

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

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

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

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

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

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

B

Step-by-step explanation:

\(\frac{4x^{2} }{12x^{2}-4}\\ = \frac{x^2}{3x^2-1}\)

4 common leke cancel kar diya bas . nothing else

To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is: Real interest rate = Nominal interest rate - Inflation rate.

To calculate nominal interest rates, you simply divide the interest rate by 100 and multiply it by the principal amount. For example, if the nominal interest rate is 5% and you put $100 in the bank, you would earn $5 in interest ($100 x 0.05).

To calculate real interest rates, you need to take into account inflation. The formula for real interest rate is:

Real interest rate = Nominal interest rate - Inflation rate

For example, if the nominal interest rate is 5% and the inflation rate is 2%, the real interest rate would be 3% (5% - 2%). This means that your $100 in the bank would earn $3 in real terms after accounting for inflation.

In summary, to calculate nominal interest rates, simply multiply the principal by the interest rate, while to calculate real interest rates, subtract the inflation rate from the nominal interest rate.

Nominal interest rate is the rate at which you earn interest on your deposit without accounting for inflation. Let's assume you deposit $100 in a bank that offers a 5% annual nominal interest rate. To calculate the interest earned in one year, you would use the following formula:

Interest earned = Principal amount x Nominal interest rate
Interest earned = $100 x 0.05
Interest earned = $5

Now, to calculate the real interest rate, you need to consider the inflation rate. The real interest rate is the nominal interest rate adjusted for inflation, and it provides a more accurate representation of the true return on your investment. To calculate the real interest rate, use the Fisher equation:

Real interest rate ≈ Nominal interest rate - Inflation rate

Assuming the annual inflation rate is 2%, you would calculate the real interest rate as follows:

Real interest rate ≈ 0.05 - 0.02
Real interest rate ≈ 0.03 (or 3%)

So, in this example, your real interest rate is 3%, which takes into account the effects of inflation on your $100 deposit.

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Answer: -5

Step-by-step explanation:

\(\frac{g(6)-g(3)}{6-3}=\frac{44-59}{3}=-5\)

The distance between the helicopter and the white house is changing at a rate of 1.95 km/min.

We can use the Pythagorean theorem to relate the distance between the helicopter and the white house to the altitude and the distance travelled by helicopter,

distance² = altitude² + distance_traveled²

Differentiating with respect to time, we get:

2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × altitude × \(\frac{d(altitude)}{dt}\) + 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)

Since the helicopter is flying parallel to the ground, its altitude is constant, so \(\frac{d(altitude)}{dt}\) = 0. Also, the distance traveled by helicopter is just its speed times time, so we have,

distance_traveled = speed × time = 2 * 1 = 2 km

Plugging in these values, we get:

2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × (1/2) × 0 + 2 × 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)= 4 × \(\frac{d(distance-traveled)}{dt}\)

Now we need to find \(\frac{d(distance)}{dt}\) when time is 1 minute. To do this, we can use the fact that the helicopter is traveling at a constant speed of 2 km/min, so its distance from the white house is increasing at a rate of 2 km/min. Thus, we have:

\(\frac{d(distance-traveled)}{dt}\) = 2 km/min

Substituting this into our equation, we get:

2 * distance ×\(\frac{d(distance)}{dt}\)  = 4 * (2 km/min)

\(\frac{d(distance)}{dt}\) = 4 km/min

We still need to find the value of distance at the moment when the helicopter is 1 minute past the white house. Using the Pythagorean theorem, we have:

distance² = altitude² + distance_traveled² = (1/2)² + 2² = 17/4

distance = √(17)/2 km

Plugging this value into our expression for \(\frac{d(distance)}{dt}\) , we get:

\(\frac{d(distance)}{dt}\) = 4 km/min / √(17)/2 km = 8/√(17) km/min ≈ 1.95 km/min.

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The calculated value of the lateral area of the rectangular prism is 272 cm².

We know that the surface area of the rectangular prism is 392 cm², and the area of the base is 60 cm².

The base area is the same as the top area

Therefore, the sum of the areas of the four sides of the rectangular prism is:

392 cm² - 2 * 60 cm² = 272 cm²

The lateral area of a rectangular prism is the sum of the areas of the four sides, excluding the top and bottom faces.

Therefore, the value of the lateral area of the rectangular prism is 272 cm².

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Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

To calculate the number of days Sonia needs to work to earn $3402 and how much she will earn. Sonia earned $1260 over five days. Thus, if she works for 14 days, Sonia will earn: 252 * 14 = $3528.

Let's assume that Sonia earns a constant amount per day for distributing propaganda. We can set up the following proportion:

1260 / 5 = 3402 / x

To solve for x, we cross-multiply and solve for x:

1260 * x = 3402 * 5

1260 * x = 17010

Dividing both sides of the equation by 1260, we find:

x = 17010 / 1260

x ≈ 13.5

Therefore, Sonia will need to work approximately 13.5 days to earn $3402. Since we can't have a fraction of a day, we need to round up to the nearest whole number, so Sonia will need to work 14 days to earn $3402.

To calculate how much she will earn, we can multiply the number of days worked by her daily earnings. Since Sonia earned $1260 over 5 days, her daily earnings would be:

1260 / 5 = $252 per day

Thus, if she works for 14 days, Sonia will earn:

252 * 14 = $3528.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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