A closet contains 10 pairs of shoes. if 8 shoes are randomly selected, what is the probability that there will be
What Times 4 equals 108
what is pie
i am am confused i need
help
67 times a number minus 58 is equal to 36 less than the number
To solve the equation 67 times a number minus 58 is equal to 36 less than the number, we can use algebraic manipulation to isolate the variable x. The solution is x = 1/3.
Explanation:To solve the equation, we can set up the equation as follows:
67x - 58 = x - 36
Next, we can simplify the equation by combining like terms:
67x - x = 58 - 36
66x = 22
Finally, we can solve for x by dividing both sides of the equation by 66:
x = 22/66 = 1/3Learn more about Algebra here:
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weather station records the morning low temperature as −6.1°F and the afternoon high temperature as 10.5°F . Which expression represents the total temperature change, in degrees Fahrenheit, from the morning low to the afternoon high? |10.5+(−6.1)| −6.1+10.5 |10.5−(−6.1)| 10.5+(−6.1)
I am sure the answer is |10.5−(−6.1)| hope this helps and if correct give me the brainliest please
the correct answer is
|10.5-(6.1)|
I took the test
The circle below represents a whole, or 1.use subtraction to determine the unknown part of the circle.
Find the points on the curve y = 2x3 + 3x2 − 12x + 8 where the tangent line is horizontal.
Final answer:
To find where the tangent line is horizontal on the curve y = 2x^3 + 3x^2 - 12x + 8, set its derivative to zero and solve for x, resulting in points (-2, 8) and (1, 1) where the tangent lines are horizontal.
Explanation:
To find the points on the curve y = 2x^3 + 3x^2 − 12x + 8 where the tangent line is horizontal, we look for where the derivative of the curve equals zero because horizontal tangent lines have a slope of zero. The derivative of the given function is y' = 6x^2 + 6x - 12. This derivative represents the slope of the tangent at any point on the curve.
Setting the derivative equal to zero gives us the quadratic equation 6x^2 + 6x - 12 = 0, which can be simplified to x^2 + x - 2 = 0. Factoring this quadratic equation, we get (x + 2)(x - 1) = 0, leading to two solutions for x: x = -2 and x = 1. Substituting these x-values back into the original equation gives us the y-coordinates and therefore the points on the curve where the tangent line is horizontal: (-2, 8) and (1, 1).
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g x h)(5)
(5 – 7)^2
(5)^2 – 7
(5)^2(5 – 7)
(5 – 7)x^2
Final answer:
To find (g x h)(5), calculate h(5) first, then substitute the result into g(x) and calculate. The equivalent expression is (5)^2 - 7.
Explanation:
To solve (g x h)(5), we need to find g(h(5)). Given h(x) = x - 7 and g(x) = x^2, we first find h(5) = 5 - 7 = -2. Then, we evaluate g(-2) = (-2)^2 = 4. So, (g x h)(5) = g(h(5)) = g(-2) = 4, which corresponds to the option (5)^2 - 7.
What is 19c+26=41+14c (Steps included please)
how do I solve for X? 37/24=7/8-5x/6
Andrew sold 45 tickets to the school play and Sara sold 40 tickets. What is the best ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
Graph the line by locating any two ordered pairs that satisfy the equation y = 1/4x+1
The legs of a scalene triangle are represented by (x + 4), (x + 8), and ( 2x − 3). Which polynomial expression BEST represents the perimeter of the triangle?
Answer:
[tex](4x+9)[/tex]
Step-by-step explanation:
we know that
The perimeter of triangle is equal to the sum of the three length sides
therefore
[tex]P=(x+4)+(x+8)+(2x-3)\\ \\P=(x+x+2x)+(4+8-3)\\ \\P=(4x+9)\ units[/tex]
A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture worth $0.54 a pound, how much of each bean is used? Model the scenario then solve it. Then, in two or more sentences explain whether your solution is or is not reasonable.
35 pounds of $0.20 coffee beans and 85 pounds of $0.68 coffee beans create a 120-pound mixture valued at $0.54 per pound when mixed. Solving the system of linear equations confirms these amounts as reasonable and correct.
To solve the problem of determining how much of each type of coffee bean is used in a mixture, we can use a system of equations to model the scenario. Let's define x as the number of pounds of the $0.20 coffee beans and y as the number of pounds of the $0.68 coffee beans. Given the total weight of the mixture is 120 pounds, we can formulate our first equation:
x + y = 120
The total value of the coffee mixture is $0.54 per pound, hence the second equation representing the total value of the mixture is:
0.20x + 0.68y = 0.54(120)
By solving this system of equations, we can find the precise quantities of each type of bean used in the mixture.
Step 1: Multiply the second equation by 100 to clear the decimals for easier calculation:
20x + 68y = 54 times 120
Step 2: Solve for one of the variables, let's say x:
x = 120 - y
Step 3: Substitute x in the second equation:
20(120 - y) + 68y = 54 times 120
This simplifies to:
2400 - 20y + 68y = 6480
48y = 4080
Step 4: Solve for y:
y = 4080 / 48
y = 85
Step 5: Substitute y back into the first equation to find x:
x = 120 - 85
x = 35
If 35 pounds of the $0.20 beans and 85 pounds of the $0.68 beans are mixed together, we achieve the desired mixture weighing 120 pounds valued at $0.54 per pound. This solution is reasonable because the sum of the weights equals the total weight of the mixture, and the calculated total value per pound matches the desired value.
A linear cost function is c(x) = 4x + 300.what is the cost of producing one more item if 50 are currently being produced?
The cost of producing one more item is 4 if 50 are currently being produced.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
We have been given that linear cost function is C(x) = 4x + 300.
Here, the slope (4) is the cost per unit,
We have to determine the cost of producing one more item
Since 50 are currently being produced, so substitute the value of x = 51,
So the cost of producing one more item as
⇒ C(51) - C(50) = 4(51) +300 - (4(50) + 300) = 504 - 500 = 4
Therefore, the cost of producing one more item is 4 if 50 are currently being produced.
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A group of people have the number 12345.6789 written on a piece of paper. Then the group decides to play a game. The winner of the game is the person who can round the given number and get a number higher than any other person. Alice rounds to the nearest ten-thousand, Bob to the nearest thousand, Carol to the nearest hundred, Devon to the nearest ten, and Eugene to the nearest whole number. In addition, Felicity rounds the number to the nearest tenth, Gerald to the nearest hundredth, Harry to the nearest thousandth, and Irene rounds to the nearest ten-thousandth. Who wins the game?
Answer:
its devon
Step-by-step explanation:
You watch a roulette wheel spin 270 consecutive times and the ball lands on a red slot each time. what is the probability that the ball will land on a red slot on the next spin
for a store contest 4 out of every 65 people who visit the store witll get a free dvd if 455 people went how many dvd's were given away?
What is the sum of the numbers in the series? 15 + 11 + 7 + . . . + (–129)
A. -2,124
B. -2,109
C. -2,052
D. -1,995
how many different ways can you use the digit 3 and 5 to write expressions in exponential form? What are expression?
Exponential notation is used to express very large and very small numbers as a product of two numbers. We can cube the digit term in the usual way and multiply the exponent of the exponential term by 3 to write expressions in exponential form using the digit 3 and 5.
Explanation:Exponential notation is used to express very large and very small numbers as a product of two numbers. In the case of writing expressions in exponential form using the digit 3 and 5, we can cube the digit term in the usual way and multiply the exponent of the exponential term by 3. For example, if we want to write 3 to the power of 5 in exponential form, it can be written as 3³ x 5³ = 243 x 125. Therefore, there are multiple different ways to use the digits 3 and 5 to write expressions in exponential form.
Final answer:
To write expressions in exponential form using the digits 3 and 5, follow the rules of exponential arithmetic.
Explanation:
To write expressions in exponential form using the digits 3 and 5, we can follow the rules of exponential arithmetic. In exponential form, a number is written as the digit term multiplied by 10 raised to the power of the exponential term.
For example, if we want to write 35 in exponential form, we can write it as 3×105. If we want to write 53 in exponential form, it would be 5×103.
By using these rules, you can create different expressions by combining the digits 3 and 5 with different exponential terms.
Find y when x=9 if y varies directly as the square of x and y=245 when x=7
I have the same hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4. the number is.
Hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4,then the number is 454.
What is Number system?The system which deals with numbers and decimals is called number system.
The digit at ones place=4
The digit at tens place=50
hundreds digit as ones digit=400
Therefore the number is 400+50+4
=454
Therefore if same hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4. Then 454 is the Number.
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What is the probability of rolling two six-sided dice and obtaining at least one 3?
brad built 1/4 of a model airplane on monday and 2/3 of it on tuesday. he finished building the airplane on wednesday. what fraction of the airplane did he build on wednesday?
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 mi apart
Is 1,000,000 rational?
The French Club is sponsoring a bake sale if their goal is to raise at least $140 how many pastries must they sell at $3.50 each in order to meet the goal write and solve inequality
Answer:
3.50p>(or equal to) 140; p>(or equal to)40
Step-by-step explanation:
What is the square root of 98 rounded to the nearest thousandth
If cosθ =1/3 , then sinθ = _____.
Answer:
I'm pretty sure the answer for this is ±[tex]\frac{2\sqrt{2} }{3}[/tex]
Step-by-step explanation:
I did the assignment.
chelsea has $45 to spend at the fair. she spends $20. on admissib and $15 on snacks. she wants to play a game that costs $0.65 per game. Write an inequality to find the maximum number of times, x, Chelsa can play games. Using this inequality, determine the maximum number of times she can play the game.
Answer: The required inequality is [tex]35+0.65x\leq 45[/tex] and teh maximum number of times that Chelsea can play the game is 15.
Step-by-step explanation: Given that Chelsea had $45 to spend at the fair. she spends $20 on admissible and $15 on snacks. She wants to play a game that costs $0.65 per game.
We are to write an inequality to find the maximum number of times, x, Chelsea can play games.
Also, to find the maximum number of times she can play he game.
According to the given information, the inequality can be written as follows :
[tex]20+15+0.65\times x\leq 45\\\\\Rightarrow 35+0.65x\leq 45.[/tex]
And, the solution of the above inequality is as follows :
[tex]35+0.65x\leq 45\\\\\Rightarrow 0.65x\leq 45-35\\\\\Rightarrow 0.65x\leq 10\\\\\Rightarrow x\leq \dfrac{10}{0.65}\\\\\Rightarrow x\leq 15.38.[/tex]
Thus, the maximum number of times Chelsea can play the game is 15.