Answer:
Correct option is
HCF of 20 and 35 = 5
HCF of x2yandxy2=xy
HCF of (x2−y2),i.e.,(x−y)(x+y)
and (x−y)=(x−y)
∴ReqdH.C.F=5xy(x−y)
Step-by-step explanation:
hiiii ur so cute
2/9+1/3 thx for helping I need ASAP
Step-by-step explanation:
[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]
Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol
an acute angle is an angle which is_______
Answer:
less then 90º
Step-by-step explanation:
an acute angle is an angle which is less then 90º
HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)
On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas
3. Identify the property of real numbers.
The cost of one item sold for $14.50 is $14.50.
Answer:
$14.50
Step-by-step explanation:
Is the answer because we don't put a decimmel pint after the number
The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."
The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:
a = a
This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.
To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:
x = x
This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:
1 = 1
5.3 = 5.3
-2 = -2
π = π (pi)
No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.
In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.
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s = n(a+1) for a
please answer asap
Step-by-step explanation:
for a=
[tex] \frac{s - n}{n} [/tex]
Which one describes the algebraic expression for the phrase, "twice a number decreased by 5 is greater than 12"? 2n - 5 = 12
2n - 5 < 12
12 + 5n > 2
2n - 5 > 12
Answer:
2n - 5 > 12[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
If the cost price of 21 article is equalto the selling price of 18 articles. Find profit precent
Answer:
The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %
c=2, f(x)= {3-x, x<2
2, x=2
x/2, x>2
Answer:
ball$
Step-by-step explanation:
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Complete the set of ordered pairs for the relation.
{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.
(-2, __)
-2
-3
2
Answer:
Step-by-step explanation:
[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]
Answer:
2 / (-2,2)
Step-by-step explanation:
Simplify the expression to a polynomial in standard form:
(3x2 - 4x – 5)(-2x2 + 2x + 2)
Answer:
- 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
Step-by-step explanation:
Given
(3x² - 4x - 5)(- 2x² + 2x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis
= - 6[tex]x^{4}[/tex] + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms
= - 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
SOMEONE HELP PLEASE ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!
Answer:
[tex] {9}^{ - \frac{1}{2} }[/tex]Step-by-step explanation:
Given,
[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]
[tex] = \frac{ \sqrt{9} }{9} [/tex]
[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]
[tex] = {9}^{ \frac{1}{2} - 1} [/tex]
[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]
A total of 388 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
Answer:
97
Step-by-step explanation:
388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))
If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.
Let's assume the number of adult tickets sold is 'x.'
According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.
The total number of tickets sold is the sum of the adult and student tickets, which is 388:
x + 3x = 388
Now, combine like terms:
4x = 388
To find the value of 'x,' divide both sides of the equation by 4:
x = 388 / 4
x = 97
To verify the result, let's find the number of student tickets:
Number of student tickets = 3 * 97 = 291
Now, let's add the adult and student tickets:
97 (adult) + 291 (student) = 388
The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.
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Charlotte read a 608-page book in 16hours last month. How many pages per hour was that
Answer:
33
Step-by-step explanation:
608pages/16h = 33pages/h
what is the median of these numbers? 4, 14, 7, 8, 12, 12, 5, 10
The median of that data set is 9.
Sort the numbers from least to greatest and find the middle number (that should be your median)
If there are 2 numbers in the middle of the set, then you take the average and that would be your median.
(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con
We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]From the Question we are told that
[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]
Generally the equation for the Resultant PR is mathematically given as
[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]
a)
Generally the equation for the Distance around they park is mathematically given as
[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]
[tex]X=190yd[/tex]
b)
Generally the equation for the Path QM is mathematically given as
From the diagram we see that
[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]
[tex]QM=40yd[/tex]
c)
From the question we are told
Average speed of [tex]150yd/m[/tex]
Total distance traveled
[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]
Therefore
Time
[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]
[tex]T=1.5minutes.[/tex]
in conclusion
The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]For more information on this visit
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6+m/2 = -3
Help me pleAseeee
Answer:
m = -18
Step-by-step explanation:
6 + m/2 = -3
Subtract 6 from each side
6 + m/2 -6 = -3-6
m/2 = -9
Multiply each side by 2
m/2 * 2 = -9*2
m = -18
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]
[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]
[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
l find it difficult to solve this problem. Please help.
Answer:
27 square are there in the given figure
2 1/6 x 4 1/2= and explain it
Answer:
9 3/4
Step-by-step explanation:
First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1 Then you keep the original denominator at the bottom of the fraction.
2*6+1/6 4*2+1/2 ---> 13/6 x 9/2
You would then simplify the crossing numbers 6 and 9. They both can be divided by three.
13/2 x 3/2 = 39/4
Now you would do long division where you divide 39 by 4
4 goes into 39 nine times subtracting 36 from 39.
You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.
The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.
What is mixed numbers?A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.
(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2
Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.
13/2 x 3/2 = 39/4
You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.
In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.
Therefore, 2 1/6 x 4 1/2 = 9 3/4.
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Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.
represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
What type of number is 80i?
Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4
Answer:
Ans. is -10. Explanation is in the attachment.
Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?
Answer:
112 guests
Step-by-step explanation:
I. If her total cost is 773$
When Total = DJ + Cake + Guest
773 = 250 + 75 + 4(x)
773 = 325 + 4(x)
773 - 325 = 4(x)
448 = 4x
x = 448/4
x = 112
That makes guests are 112
order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16
Answer:
-2 1/3, 1/16, √15, 4^2
Following order from least to greatest.
Write the conjugate of the following complex
number:
-6i
Answer:
[tex]6i[/tex]
Step-by-step explanation:
We want to write the conjugate of the complex number:
[tex]-6i[/tex]
Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.
We can rewrite our complex number as:
[tex]\displaystyle 0 - 6i[/tex]
Hence, a = 0 and b = 6.
Then its conjugate will be:
[tex]0 + 6i = 6i[/tex]
can someone please help
5(1+2m)=1/2(8+20m)
Answer:
no solutions
Step-by-step explanation:
5(1+2m)=1/2(8+20m)
5+10m = 4+10m
10m-10m= 4-5
No solutions
please help me is for my homework
Answer:
126/100
Step-by-step explanation:
126% / 100
= 1.26
Answer:
1.26
Step-by-step explanation:
divide 126 by 100 first
[tex]\frac{126}{100}[/tex]
you will get
1.26
Can you answer this and simplify this?
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1
Answer and Step-by-step explanation:
The length of the rectangle is 3 + w (w represents the width).
The polynomial representing the area of the rectangle:
a (area) = w(3 + w) = w^2 + 3w
A)
a = 1
b = 2
c = 3
d = 1
B)
w = 4
(4)^2 + 3(4) = 8 + 12 = 20
e = 20
#teamtrees #PAW (Plant And Water)
I hope this helps!
there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
The reason for arriving at the above probability is as follows:
The given parameters are;
The number of teams in the tournament, n = 60
The chance of a team winning a game = 50% = 0.5
The number of ties = No ties
The required parameter:
The probability that no two teams win the same number of games
Method:
Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes
Solution:
The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770
The possible outcomes = 2; Winning or losing
The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰
The number of games won by each team is between 0 and 59
The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59
Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!
[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]
The probability that no two teams win the same number of games is given as follows;
[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]
Therefore;
[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
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