50+(2x +30)+ (2x +20) + X=360
how do I solve this problem?
Answer:
x = 52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
Combine like terms
5x+100 =360
Subtract 100 from each side
5x+100-100 = 360 -100
5x = 260
Divide by 5
5x/5 = 260/5
x = 52
Answer:
x=52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
First combine like terms
50+30+20=100
2x+2x+x=5x
combine
5x+100=360
subtract 100
5x=260
divide by GCF (5)
x=52
Hope this helps! Plz award Brainliest : )
Consider a Gambler's ruin problem with p = 0.3 and the different states of the fortune of the gambler are 0,1,2,3,4,5 and 6. Find all recurrent and transient states. Find si4 and fi4 for i = 3, 4, 5.
In the Gambler's ruin problem with a probability of winning each bet (p) equal to 0.3 and fortune states ranging from 0 to 6, we can determine the recurrent and transient states.
In the Gambler's ruin problem, a gambler starts with an initial fortune and repeatedly bets a fixed amount until they either reach a desired fortune or lose everything. The states in this problem represent the different fortunes of the gambler.
Recurrent states are those where the gambler has a non-zero probability of eventually returning to that state, while transient states are those where the gambler will eventually reach either the desired fortune or zero with a probability of 1.
To determine the recurrent and transient states, we need to analyze the probabilities of winning and losing at each state. In this case, since p = 0.3, any state with a probability of winning less than 0.3 is considered a transient state, while the rest are recurrent states.
To find si4, we calculate the probability of starting at state i and eventually reaching state 4. Similarly, to find fi4, we calculate the probability of starting at state i and eventually reaching either the desired fortune or zero without reaching state 4.
By applying the necessary calculations and analysis to the given problem parameters, we can determine the recurrent and transient states and find the probabilities si4 and fi4 for the specified values of i.
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Help please ): pleaseeee
Answer:
answer it yourself
Step-by-step explanation:
In Circle F, determine the value(s) of x.
Answer:
since inscribed angle is half of the central angle
x²+22=2(x²+3)
x²+22=2x²+6
22-6=2x²-x²
16=x²
x=√16=±4
determine the value(s) of x=±4
Brian was thinking of a number. Brian
halves it and gets an answer of 1.6. What
was the original number?
Answer:
\(3.2\)
Step-by-step explanation:
let the number be x
\(x \times \frac{1}{2} = 1.6 \\ \frac{x}{2} = 1.6 \\ x = 2 \times 1.6 = 3.2\)
write an equation for the altitude from vertex A of the triangle where point a is (-1,0) point b is (8,-5) and point c is (2,-3)
The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.
To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:
1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.
2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.
3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.
4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.
Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.
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A study examined the relationship between years spent smoking and attitudes toward quitting by asking participants to rate their optimism for the success of a treatment program. If there were a negative relationship between these variables, what should the results of the study be like
The results of the study examining the relationship between years spent smoking and attitudes toward quitting should show a negative relationship between these variables. This means that as the number of years spent smoking increases, participants' optimism for the success of a treatment program should decrease.
In the study, participants were asked to rate their optimism for the success of a treatment program, which serves as a proxy for their attitudes toward quitting. The variable being measured is the level of optimism, which can be quantified using a numerical rating scale or likert scale. The independent variable is the number of years spent smoking, which represents the duration of smoking behavior.
To determine the relationship between these variables, researchers would likely conduct statistical analyses, such as correlation or regression analysis. These analyses would examine the association between the number of years spent smoking and participants' optimism ratings. A negative relationship would be indicated by a statistically significant negative correlation coefficient or a negative regression coefficient.
The study's results should demonstrate that as the number of years spent smoking increases, participants' optimism for the success of a treatment program decreases. This suggests that individuals who have been smoking for a longer duration may be less hopeful about quitting successfully.
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Question 6 mathematics
The quadratic regression equation is given as follows:
y = -0.02x² + 0.14x + 19.6.
How to obtain the regression equation?Regression equations are obtained inserting the points of a data-set into a calculator.
In this problem, we want to find the quadratic regression equation, hence a quadratic regression calculator is used.
The points for this problem are given as follows:
y = -0.02x² + 0.14x + 19.6.
Meaning that the fourth option is the correct option.
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How to work this out
Answer:
2x^2+x^2
=3x
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giving brainliest How many square feet of outdoor carpet will we need for this hole?
Answer:
39 square feet
Step-by-step explanation:
the area of a rectangle is equal to its base times its height.
we can break the two rectangles up and find their areas and then add the areas together for the final answer.
3 x 2 = 6
3 x 11 = 33
33 + 6 = 39
Mr. Steiner purchased a car for about $14,000. Assuming his loan was compounded monthly at an interest rate of 4.9% for 6 years. How much will he pay for the car in total? (Use the formula below. Round to TWO decimal places and include $ in front)
Answer: His car was $415.18 in total
Step-by-step explanation: The calculation of the present value of a cash flow or other income stream that produces $1 in income over so many periods of time.
Amount borrowed = $12,500
Annual interest rate = 12.00%
Monthly interest rate = 1.00%
Period = 36 months
Let monthly payment be x
12,500 = x/1.01 + x/1.01^2 + x/1.01^3 … + x/1.01^35 + x/1.01^36
12,500 = x * (1 - (1/1.01)^36) / 0.01
12,500 = x * 30.107505
x = 12,500/30.107505
x = 415.18
So, the monthly payment is $415.18
I need the answers can u help me please
Answer:
`1) 2.5cm, 2)1.25inches 3)2.25inches 4)1.25inches
Step-by-step explanation:
1) This is a centimeter rule, one small line represents 0.1cm and 1 long line represent 1cm, the line in between two long lines represent 0.5 cm
As you can see from A to B, is 2 cm + 0.5cm = 2.5cm.
2)This is found on the other side of rulers, inches.
1 small line represent 0.25 inches, line in between 2 long lines is 0.5 inches.
From S to T, is 1 inch + 0.25 inches = 1.25inches
3)Similar to Question 2.
Length of Pencil= 2 inches + 0.25 inches = 2.25 inches
4)This is a more detailed inch rule.
But length of heart shape = 1 inch + 0.25 inches = 1.25 inches
One of the output functions of a three inputs 3x8 decoder combinational output function in sum-of- minterms form: F = (0,1,2,3,7). What is the c function of this output? a) (x + y) (y+z) b) (x+y)(x+z) c) (y + 2) (x + 2)
The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.
A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.
Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.
From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.
By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.
In summary, the correct option is a) (x + y) (y + z).
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50 POINTS WILL MARK BRAINLIEST find the area.
Answer:
43?
Step-by-step explanation:
someone please help. i will mark as brainliest if right :)
Answer:
The other factor is 5x-2
Step-by-step explanation:
Using the factorisation method:
Two numbers that multiply to give -10 and add to give +3:
+5 and -2
\(5x^{2} +5x-2x-2\)
\(5x(x+1) -2(x+1)\)
\((x+1)(5x-2)\)
So the other factor is 5x-2
I'm not sure about the second part of the question but I hope you understood how to deal with the first part.
i need to find what is 18 divided by 8
Answer:
2.25
Step-by-step explanation:
Two cylinders have the same surface area. The shorter of the two has a radius of 3 cm and the height of 2cm and the taller cylinder has a radius of 2 cm calculate:
1) The height of the taller cylinder is:
a) 14 b) 12 c) 13 d) 15
Answer: The surface area of a cylinder is given by the formula:
S = 2πr^2 + 2πrh
where r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant pi.
Given that the two cylinders have the same surface area, we can set up an equation using the formula above for each cylinder and equate them.
For the shorter cylinder:
S = 2π(3)^2 + 2π(3)(2) = 36π
For the taller cylinder:
S = 2π(2)^2 + 2π(2)h = 8π + 4πh
Since the two cylinders have the same surface area, we can set the two equations equal to each other and solve for h:
8π + 4πh = 36π
Simplifying the equation:
4πh = 28π
Dividing both sides by 4π:
h = 7
Therefore, the height of the taller cylinder is 7 cm.
Answer: 7.
Step-by-step explanation:
Emily and her four friends are splitting the cost of a vacation.
Each person cannot pay more that $200.
What could be the total cost of the vacation?
The total cost of the vacation could be any amount up to $1000, but it cannot exceed $1000.
What is finite and infinite set?A set with a particular, constrained number of elements is said to be finite. For instance, because it only has five items, the set "1, 2, 3, 4, 5" is a finite set. On the other hand, a set with an infinite number of items is called an infinite set. For instance, because it has no beginning or end, the set of all positive numbers 1, 2, 3, 4,... is an infinite set.
For the given amount of $200 split in 5 people the total cost of the vacation cannot exceed:
(5 people x $200/person = $1000).
Hence, the total cost of the vacation could be any amount up to $1000, but it cannot exceed $1000.
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BRAINLIEST ANSWER! ASAP PLEASE HELP!
Answer:
the 2nd answer I had this equation last week
What is the measure of
Answer:
x=50°
Step-by-step explanation:
52°+78°+x°=180°(by angle sum property)
130°+x°=180°
x°=180°-130°
x°=50°
Answer:
ur answer would be x=50
Step-by-step explanation:
hope this helps
right on edge 2021
If 2x + y = 23 and 4x – y = 19; find the value of x – 3y and 5y – 2x
Answer:
- 20 and 31
Step-by-step explanation:
Solve the given equations simultaneously to find x and y
2x + y = 23 → (1)
4x - y = 19 → (2)
Adding the 2 equations term by term will eliminate y
6x + 0 = 42
6x = 42 ( divide both sides by 6 )
x = 7
Substitute x = 7 into either of the 2 equations and solve for y
Substituting into (1)
2(7) + y = 23
14 + y = 23 ( subtract 14 from both sides )
y = 9
Then
x - 3y = 7 - 3(9) = 7 - 27 = - 20
5y - 2x = 5(9) - 2(7) = 45 - 14 = 31
Which exponential function has an x-intercept?
Answer:
y = a^x is an exponential function with an x intercept.
Step-by-step explanation:
y = a^x is the standard form of an exponential function.
variables that indicate the distance a target is from the level achieved are called
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.
Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.
These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.
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Select the correct answer. histogram chart. car prices on x-axis. number of cars sold over 10 years on y-axis. x-axis ranges from 0 to 40000. y-axis ranges from 0 to 700. between 20000 and 30000, bars height over 700. between 5000 and 10000, 40000 and 45000, bar height is 200. a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. the salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
The bar height for the price range of less than $5,000 will increase by 200.
In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.
Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.
If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:
The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.
Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.
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ANSWER ASAP FOR BRAINLIEST
Answer:
I CANT SEE THE IMAGE BUT I NEEED POINTS xD
Step-by-step explanation:
PERIODDDDDDDDD
Answer:
Laptops, 82 is the largest number when you look at the totals.
Step-by-step explanation:
gender| electronic tablet | Laptop | Both | Neither | Total
----------|----------------------------|------------|---------|-------------|--------
girl | 13 | 51 | 8 | 17 | 89
boy | 12 | 31 | 5 | 13 | 61
total | 25 | 82 | 13 | 30 | 150
LMK If I have to explain but I basically just got the 150 students from the directions and went from there.
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answer: The area is 6.5
a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
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21+ 6m=3(m-1) not sure what to do here
Answer:
M=-8
Step-by-step explanation:
21+6m=3(m−1)
Step 1: Simplify both sides of the equation.
21+6m=3(m−1)
21+6m=(3)(m)+(3)(−1)(Distribute)
21+6m=3m+−3
6m+21=3m−3
Step 2: Subtract 3m from both sides.
6m+21−3m=3m−3−3m
3m+21=−3
Step 3: Subtract 21 from both sides.
3m+21−21=−3−21
3m=−24
Step 4: Divide both sides by 3.
3m/3=-24/3
M=-8
Answer:
m = - 8
Step-by-step explanation:
Given
21 + 6m = 3(m - 1) ← distribute
21 + 6m = 3m - 3 ( subtract 3m from both sides )
21 + 3m = - 3 ( subtract 21 from both sides )
3m = - 24 ( divide both sides by 3 )
m = - 8
Consider the linear program: Maximize z=−3x1+6x2, subject to: 5x1+7x2≤35
−x1+2x2≤2
x1≥0, x2≥0.
a) Solve this problem by the simplex method. Are there alternative optimal solutions? How can this be determined at the final simplex iteration? b) Solve the problem graphically to verify your answer to part (a).
Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.
To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:
| x1 | x2 | s1 | s2 | b |
--------------------------------------------
z | -3 | 6 | 0 | 0 | 0 |
--------------------------------------------
s1| 5 | 7 | 1 | 0 | 35 |
--------------------------------------------
s2| -1 | 2 | 0 | 1 | 2 |
--------------------------------------------
Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:
| x1 | x2 | s1 | s2 | b |
--------------------------------------------
z | 0 | 1 | 3/2 | -1/2 | 14 |
--------------------------------------------
s1| 0 | 0 | 4 | 3 | 5 |
--------------------------------------------
s2| 1 | 0 | -1/2 | 5/2 | 3 |
--------------------------------------------
From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.
In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.
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