The area of a square is 36 square yards. How long is each side of the square?
The formula for area of a square is A=s^2
Taking the square root of each side
sqrt(A) =s
sqrt(36)=s
6yds =s
The length of each side of the square is 6 yards.
Eve had 24 stamps each valued at $24.75. What is the total value of her stamps?
To calculate the total value of Eve's stamps, multiply the number of stamps (24) by the value of each stamp ($24.75), resulting in a total value of $594.00.
The question involves calculating the total value of stamps using multiplication. Eve has 24 stamps, each valued at $24.75. To find the total value, we multiply the number of stamps by the value of each stamp.
Here is the calculation:
Number of stamps: 24Value per stamp: $24.75Total value = 24 stamps * $24.75 per stamp = $594.00Therefore, the total value of Eve's stamps is $594.00.
Which of the following is not a polynomial?
For this case we have the following:
[tex]\frac{3}{x^{-1} }+ \frac{3}{2}[/tex] which can be rewritten as [tex]3x + \frac{3}{2}[/tex], is a polynomial. [tex]x ^ 2 + x^{\frac{1}{2} }+ x + 6[/tex] is not a polynomial because it has a coefficient that is not integer. [tex]x ^ 3-9[/tex] is a polynomial [tex]\sqrt{16x^{4} }[/tex] that can be rewritten as [tex]4x ^ 2[/tex], is a polynomialSo:
[tex]x ^ 2 + x^{\frac{1}{2} }+ x + 6[/tex] is not a polynomial
Answer:
Option B
The expression which is not a polynomial is:
B) [tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]
Step-by-step explanation:We know that the general form of a polynomial expression is given by:
[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......+a_2x^2+a_1x+a_0[/tex]
i.e. P(x) is a polynomial of degree n , where n belongs to natural numbers and [tex]a_i's[/tex] belong to the real numbers.
and [tex]a_n\neq 0[/tex]
A)
[tex]\dfrac{3}{x^{-1}}+\dfrac{3}{2}[/tex]
which could also be written by:
[tex]3x+\dfrac{3}{2}[/tex]
Hence, this expression is a polynomial expression.
Option: a is incorrect.
B)
[tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]
Since in the second term the power of x does not belong to the set of natural numbers.
Hence, option: b is not a polynomial expression.
Hence, the correct answer is option: b
C)
[tex]x^3-9[/tex]
Since, the expression matches the definition of the polynomial expression.
Hence, option: c is incorrect.
D)
[tex]\sqrt{16x^4}[/tex]
This could also be written as:
[tex]=4x^2[/tex]
Hence, it is a polynomial expression.
Hence, option: d is incorrect.
Elena’s bus runs every 20 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have to wait at least 5 minutes for the bus if it is running on schedule
Answer:
P = 15/20 = 3/4
Step-by-step explanation:
20 minutes - 5 minutes = 15 minutes.
The probability of waiting at least 5 minutes = 15/20 = 3/4 = 75%
48x^2 +44x=60 which of the following could be used to find the solution to the equation above? Select all that apply
To solve the quadratic equation 48x^2 + 44x = 60, one can rearrange it to the standard form, use the quadratic formula, attempt factoring if it is factorable, or multiply by a common factor to simplify. The most common method is the quadratic formula which provides a systematic way to find the solutions.
Explanation:To solve the equation 48x^2 + 44x = 60, we can use several methods that are commonly used to solve quadratic equations. First, we need to rearrange the equation into the standard quadratic form, which is ax^2 + bx + c = 0. By subtracting 60 from both sides of the equation, we get 48x^2 + 44x - 60 = 0.
One way to solve for x is by using the quadratic formula, which is x = (-b ± √(b^2 - 4ac))/(2a), where a, b, and c are coefficients from the quadratic equation ax^2 + bx + c = 0. In this situation, a = 48, b = 44, and c = -60. By plugging these values into the quadratic formula, we can find the two possible solutions for x.
Alternatively, we can try to factor the quadratic if it can be expressed as a product of two binomials. In some cases, like when the quadratic is a perfect square or can be easily factored, this is a simpler solution. However, if factoring is complicated or not apparent, the quadratic formula can always be used as a reliable method.
Additionally, if the equation has coefficients that are not integers or are difficult to work with, we can multiply both sides by a common factor to simplify the equation into a more manageable form with integer coefficients, after which we can proceed to use the quadratic formula or factor the quadratic, if possible.
The correct expression to find solutions is [tex]\(4(4x + 3)(3x - 5)\)[/tex], as it correctly factors the given quadratic equation.
To find the solutions to the given quadratic equation [tex]\(48x^2 + 44x = 60\)[/tex], we can use factoring. The equation needs to be rearranged to set it equal to zero:
[tex]\[48x^2 + 44x - 60 = 0\][/tex]
Now, we can factor the quadratic expression. The correct factorization is:
[tex]\[4(4x + 3)(3x - 5)\][/tex]
To verify this, distribute the factors:
[tex]\[4(4x + 3)(3x - 5) = 48x^2 + 36x - 60x - 45\][/tex]
Combine like terms:
[tex]\[48x^2 - 24x - 45\][/tex]
This matches the original quadratic expression, confirming the correct factorization.
Therefore, the correct expression that could be used to find the solutions to the given equation is [tex]\(4(4x + 3)(3x - 5)\)[/tex].
Complete Question:
To round 74.58 to the nearest tenth, which digit do you look at first
To round 74.58 to the nearest tenth, look at the digit in the hundredth place (8) and round up the digit in the tenths place (5) by adding 1 to get 74.6.
To round 74.58 to the nearest tenth,
We have to look at the digit in the hundredth place, which is 8.
The rule for rounding to the nearest tenth is to look at the digit in the hundredth place.
If it is 5 or greater, you round up the digit in the tenths place by adding 1. If it is less than 5,
Simply drop the digit in the hundredths place and leave the digit in the tenths place as it is.
In this case,
The digit in the hundredths place is 8, which is greater than 5.
Therefore, we must round up the digit in the tenths place, which is 5, by adding 1 to get 6.
Thus, 74.58 rounded to the nearest tenth is 74.6.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to screen 3 work out how many visitors attended each screen
Answer:
200 visitors went to screen 1.
125 visitors went to screen 2.
175 visitors went to screen 3.
Step-by-step explanation:
We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.
[tex]500*\frac{40}{100} =5*40=200[/tex]
Therefore, 200 visitors went to screen 1.
Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.
[tex]500*\frac{25}{100} =5*25=125[/tex]
Therefore, 125 visitors went to screen 2.
Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.
[tex]500-(200+125)[/tex]
[tex]500-325=175[/tex]
Therefore, 175 visitors went to screen 3.
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true? Check all that apply.
The first thing we must do for this case is to define variables: x: number of tickets sold before the tournament. y: number of tickets sold at the door. The system of equations that adapts to this situation is given by: x + y = 820 x-y = 80 Answer: The correct options are: option 2 option 3 option 5
Answer:
The correct options are:
option 2
option 3
option 5
Step-by-step explanation:
Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. What is the lowest grade she can receive on her fifth and final test and still have a test average of 90 or higher?
Answer:
Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.
Explanation:
Marks received by Marta in four tests = 86, 84, 97 and 89
Let mark received in fifth test be x
We have average of five test is more than or equal to 90
So we have
[tex]\frac{86+84+97+89+x}{5} \geq 90\\ \\ 86+84+97+89+x\geq 450\\ \\ x\geq 94[/tex]
So Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.
The lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher is 94.
Explanation:Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. To find the lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher, we can use the formula:
Average = (Sum of all grades) / Total number of grades
Let x be the lowest grade she can receive on her fifth test. We can set up the equation:
(86 + 84 + 97 + 89 + x) / 5 = 90
Now we can solve for x:
86 + 84 + 97 + 89 + x = 90 * 5
356 + x = 450
x = 450 - 356
x = 94
Therefore, the lowest grade Marta can receive on her fifth and final test and still have a test average of 90 or higher is 94.
Learn more about Test average calculation here:https://brainly.com/question/31697653
#SPJ11
Brinns rectangular kitchen has an area of 81 square feet.The kitchen is 9 times as many square feet as brinns pantry.If the rectangular pantry is 3 feet wide, what is the length of the pantry?
Simplify the following expression in your notebook. Select the correct answer.
7 - 3[(n 3 + 8n) ÷ (-n) + 9n 2]
-24n2 + 31
n3 - 24n2 + 31
9n2 - 24n + 7
21n + 31
-24n2+31 if im correct!
Answer:
[tex]-24n^2 + 31[/tex]
Step-by-step explanation:
[tex]7 - 3[(n^3 + 8n) divide (-n) + 9n^2][/tex]
To simplify it we use order of operation PEMDAS
Parenthesis , exponents , multiply, divide, add and subtract
[tex]7 - 3[(n^3+ 8n) divide (-n) + 9n^2][/tex]
LEts start with parenthesis (divide by -n)
[tex]7 - 3[-n^2-8+ 9n^2][/tex]
Now we simplify the parenthesis by combining like terms
[tex]7 - 3[-8+8n^2][/tex]
multiply by -3
[tex]7+24 -24n^2[/tex]
[tex]-24n^2 + 31[/tex]
x/-4=-1.11 what is x
Answer:
4.44 is your answer
Step-by-step explanation:
Isolate the x. Multiply -4 to both sides
(x/-4)(-4) = (-1.11)(-4)
x = (-1.11)(-4)
Multiply
x = 4.44
4.44 is your answer
~
Answer:
The value of x is 4.44.
Step-by-step explanation:
Given : Expression [tex]\frac{x}{-4}=-1.11[/tex]
To find : What is the value of x?
Solution :
Expression [tex]\frac{x}{-4}=-1.11[/tex]
Multiply both side by 4,
[tex]\frac{x}{-4}\times 4=-1.11\times 4[/tex]
[tex]-x=-4.44[/tex]
Cancel negative sign both side,
[tex]x=4.44[/tex]
Therefore, The value of x is 4.44.
Compute the special products. (-3+5i)2
we are given
[tex](-3+5i)^2[/tex]
we can expand it
[tex](-3+5i)^2=(-3+5i)(-3+5i)[/tex]
now, we can FOIL it
[tex](-3+5i)^2=-3\times -3-3\times 5i+5i\times -3+5i\times 5i[/tex]
now, we can simplify it
[tex](-3+5i)^2=9-15i-15i+25i^2[/tex]
we know that
[tex]i^2=-1[/tex]
so, we can plug it
[tex](-3+5i)^2=9-30i+25(-1)[/tex]
[tex](-3+5i)^2=9-30i-25[/tex]
[tex](-3+5i)^2=-16-30i[/tex]..............Answer
A store employes 11 women and 12 men. What percentage of employes are men?
2.53 is then answer .... im pretty sure
HELP!! 20 PONTS!!!
Solve for x: −4|x + 5| = −16
Select one:
a. x = 21 over 4 , x = − 11 over 4
b. x = −1, x = 9
c. x = −1, x = −9
d. No solution
Please Help!
The product of a number minus ten and nine equals fifty when decreased by seven. Which equation represents the sentence?
A) 7(x - 10) - 9 = 50
B) 7(10 - x) - 9 = 50
C) 9(x - 10) - 7 = 50
D) 9(10 - x) - 7 = 50
This question i know. It is C
For this one, the best way to answer is to use the question and it will guide us to the answer.
First, you can eliminate two choices:
the problem states that a number minus ten and nine
so you can eliminate B and D because it is 10 minus a number. In math, you can be picky and take the question exactly.
Then, look at the last part, "when decreased by seven." So now look between A and C and see which one is decreasing by 7. Based on that C would be your answer
C) 9(x-10) -7 = 50
Hope this helps!
In six seconds,a total of 3 waves crash onto the shore of the beach .The distance between each wave crest on the water is 8 meters.Find the wavelength
In six seconds,a total of 3 waves crash onto the shore of the beach .
The distance between each wave crest on the water is 8 meters.
Wave length is the length between two wave crests that is the distance between two wave crests.
We know distance between each wave crest is 8 meters
Total of 3 wave crests, the distance between first and second wave crest is 8 meters
the distance between second and third wave crest is 8 meters
So wave length = 8+8 = 16 meters
Hank's pickup can travel 72 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 54 miles?
Answer:
Hank's pickup need 3 gallons of gas to travel 54 miles.
Explanation:
Hank's pickup can travel 72 miles on 4 gallons of gas
Miles travel by Hank's pickup with 1 gallon of gas = 72/4 = 18 miles.
We need to find gallons of gas required for Hank's pickup to travel 54 miles.
Gallons of gas required = Miles need to travel/ Miles travel with 1 gallon of gas
= 54/18 = 3 gallons of gas.
So Hank's pickup need 3 gallons of gas to travel 54 miles.
Ima parking lot of 240 read and blue cars, the ratio of red cars to blue cars is 3:5 how many red cars are in the parking lot
Solve the equation. –3x + 9 = –3(2x + 3) + 3(x – 4) + 1 How many solutions does this equation have? one solution two solutions infinitely many solutions no solution
-3x+9 = -3(2x+3) + 3(x-4)+1
distribute
-3x+9 =-6x-9+3x-12+1
add like terms
-3x+9= -3x-20
add 3x to each side
9 = -20
there are no solutions because 9 does not equal -20
Answer:
Step-by-step explanation:
Michelle bought 72 pounds of cocoa powder for her backery everyday she used the same amount of cocoa powder to make bakery items after 10 days Michelle was left with 20.2 pounds of cocoa powder on avarage how many cocoa powder did Michelle used each day
What is the unknown number in 2.48>2.4 1>2.463
If jamel does 2 sets of 25 push ups if he does this 10 times each month how many push ups does he do each month write and equation to show your work
Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all that apply.
a. 8/5x+2/3=1/2-1/5x
b. 18x + 20 + 30x = 15 – 6x
c. 18x + 20 + x = 15 – 6x
d. 24x + 30x = –5
e. 12x + 30x = –5
Answer:
Only options a ,b,d have the same solution as [tex]\frac{3}{5}x +\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x[/tex]
Step-by-step explanation:
Given:
An equation: [tex]\frac{3}{5}x +\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x[/tex] ....[1]
Like terms states that contain the same variables raised to the same power.
Combine like terms on left hand side in equation [1] we get,
[tex]\frac{3}{5}x+x +\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x[/tex]
[tex]\frac{8}{5}x +\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x[/tex]
we get option (a) as the same solution.
Using LCM(Least Common ) to change each fraction to make their denominators the same as the least common denominator
Taking LCM both sides in Equation (1) ,
[tex]\frac{3}{5}x +\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x[/tex]
As LCM(3,5)=15 and LCM(2,5)=10 we have,
[tex]\frac{9x+10+15x}{15}= \frac{5-2x}{10}[/tex]
On simplifying we get,
[tex]10(9x+10+15x)= 15(5-2x)[/tex]=
Dividing both sides by 5 we get,
[tex]\frac{10(9x+10+15x)}{5} =\frac{15(5-2x)}{5}[/tex]
On simplify:
[tex]2(9x+10+15x)=3(5-2x)[/tex]
∴ [tex]18x+20+30x=15-6x[/tex]
which is same solution as given in option (b).
Now,
Use Additive Property of Equality states that allows one to add the same quantity to both sides of an equation.
Further, using the above property add 6x both sides in [tex]18x+20+30x=15-6x[/tex] we get,
[tex]18x+20+30x+6x=15-6x+6x[/tex]
On simplifying we get,
[tex]18x+20+30x+6x=15[/tex]
Subtract 20 from both the sides we get,
[tex]18x+20+30x+6x-20=15-20[/tex]
Simplify:
[tex]18x+30x+6x=-5[/tex]
or, [tex]24x+30x=-5[/tex] which is same solution as given in option(d)
But, options c and e equation doesn't have same solution as [tex]\frac{3}{5}x +\frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x[/tex]
Adriana bought 20 dogs and each dog price was $8:89 each how much she spent?
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation l.What is the distane between the national parks
Answer: 275 Miles
Step-by-step explanation: 55 x 5 = 275
Answer:
275 Miles
Step-by-step explanation:
55 mph * 5hours= 275 Miles
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average, 75%, on the test. Write an inequality that represents the test scores of 60% of his students.
Answer:
[tex]80\leq x\leq 70[/tex]
Step-by-step explanation:
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average, 75%, on the test.
Means the greater marks can be up to 80 and lowest marks can be up to 70.
So, the inequality that represents the test scores of 60% of his students is :
[tex]80\leq x\leq 70[/tex]
The sides of a right triangle ...
Answer: Choice A)
x^2 + (x+2)^2 = (x+4)^2
========================================
Consecutive even integers are whole numbers that are as close as possible and they are also even as well. One example of having 3 of them is {2, 4, 6}. Another example is {4,6,8} and another example is {6,8,10}. You start with any even integer you want, then count up by 2 each time to get the next values.
In general, if x is your first even number, then x+2 is the next number up. Eg: x = 10 so x+2 = 10+2 = 12. Then after that, x+4 is the third number (if x = 10, x+4 = 10+4 = 14)
a = x is the side length of the shorter leg
b = x+2 is the side length of the longer leg
c = x+4 is the side length of the hypotenuse
Use the pythagorean theorem to get
a^2 + b^2 = c^2
x^2 + (x+2)^2 = (x+4)^2
Coach Kunal stacks all of the tennis balls in a square pyramid.
The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n – 1) + n^2.
Which could not be the number of tennis balls Coach Kunal has?
A. 30
B. 9
C. 5
D. 14
Answer:
The correct option is: B. 9
Step-by-step explanation:
The number of tennis balls, [tex]P(n)[/tex] , in [tex]n[/tex] layers of the square pyramid is given by: [tex]P(n)=P(n-1)+n^2[/tex]
As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So, [tex]P(1)= 1[/tex]
Now, if [tex]n=2,[/tex] then [tex]P(2)= P(2-1)+(2)^2 = P(1)+4=1+4=5[/tex]
If [tex]n=3,[/tex] then [tex]P(3)=P(3-1)+(3)^2=P(2)+9=5+9=14[/tex]
If [tex]n=4,[/tex] then [tex]P(4)=P(4-1)+(4)^2 = P(3)+16=14+16=30[/tex]
That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30, .......
So, the number of tennis balls that Coach Kunal could not have is 9.
the correct answer is b.9
5x10^2
please help me solve it and how.
5 x 10^2
= 5 x 100
= 500
Alright, so to solve this we have to use P.E.M.D.A.S. There are no parenthesis, so we move on to exponents. 10^2. Well, we know that 10 multiplied by 10 is 100. So the new equation is 5 multiplied by 100. The answer is 500.