please help.................................

Answer:

\(\frac{4}{7}\)

Step-by-step explanation:

The greatest common factor of 36 and 63 is 9.

Thus, \(\frac{36}{63}\) = \(\frac{4}{7}\) since (36 ÷ 9 = 4) and (63 ÷ 9 = 7).

Answer:

4/ 7

Step-by-step explanation:

you list the factors of each number  so  factors of 36 are 1 2 3 4 6 9 12 18 36 and factors of 63 are 1 , 3 , 7 , 9 , 21 and 63  as the highest common factor in each number is 9 you do 36 ÷ 9 = 4 which will be the numerator and 63÷ 9 = 7 which will be the denominator so the simplest form of 36/63 is 4/7

If there are 14 people in a club organizing a spaghetti dinner, there can be 364 ways to select 3 people to be ticket takers.

A combination is a selection of things taken from a larger group, where the order in which things are selected is unimportant. A combination is distinct from a permutation, which is a method of organizing objects in which order matters. A combination is a method of selecting things in which order does not matter. In general, the combination formula can be used to determine the number of possible combinations that exist for a given set of things.

Suppose we have to select 3 people out of 14 people. The number of possible combinations can be found using the combination formula, which is given byC(n,r) = n!/(n-r)!r!where n is the total number of objects, and r is the number of objects selected.C(14,3) = 14!/(14-3)!3!C(14,3) = (14 × 13 × 12)/(3 × 2 × 1)C(14,3) = 364Therefore, there are 364 ways to select 3 people to be ticket takers from a group of 14 people.

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Answer:

Step-by-step explanation:

9x - 7y = 24

3x + y = -2

9x - 7y = 24

-9x - 3y = 6

-10y = 30

y = -3

3x - 3 = -2

3x = 1

x = 1/3

(1/3, -3)

The lines 9x – 7y = 24 and 3x + y = -2 intersect at (\(\frac{1}{3}\), -3).

That is the common point, from where both the lines passes through at the same time.

Given lines:

9x – 7y = 24 (say eq. 1)

and 3x + y = -2 (say eq. 2)

Multiply eq. 2 with 3 and then subtract from eq. 1 :

Multiply eq. 2 with 3

⇒ 3 x (3x + y = -2 ) = 9x + 3y = -6

subtract eq. 2 from eq. 1:

9x – 7y = 24

- (9x + 3y = -6 )

= -10y = 30

or y = 3

put y = 3 in eq. 1, we get:

9x -7 (3) = 24

9x = 24 - 21 = 3

x = \(\frac{1}{3}\)

Hence the intersection point of both lines is (\(\frac{1}{3}\), -3).

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0 ≤ x < 2, where x is an integer. Option C

The appropriate domain for the function f(x) = 42 - 15x in the given context can be determined by considering the constraints of the problem.

Tyson has a $50 gift card, and he wants to purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) represents the balance on the gift card after Tyson makes the purchases.

The number of shirts Tyson can purchase depends on the remaining balance on the gift card. Since each shirt costs $15, the maximum number of shirts he can buy is limited by the amount of money left on the gift card.

If we subtract the cost of the belt ($8) and the cost of x shirts ($15x) from the initial balance ($50), we should get a non-negative result, indicating that Tyson has enough money on the gift card to make the purchases.

Therefore, we can set up the inequality:

50 - 8 - 15x ≥ 0

Simplifying, we have:

42 - 15x ≥ 0

Now, we can solve for x:

-15x ≥ -42

Dividing by -15 (remembering to flip the inequality sign), we get:

x ≤ 42/15

x ≤ 2.8

Since x represents the number of shirts Tyson can buy, it should be a whole number. Therefore, the appropriate domain for the function f(x) is:

0 ≤ x ≤ 2, where x is an integer.

Option C.

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Step-by-step explanation:

(1) 4mn × 6mp × 3mnp

= 4 × 6 × 3 ( mn × mp × mnp)

= 72 × (m³n²p²)

72m³n²p²

sorry, I'm busy, won't be able to complete it

Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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Answer:

about 35.58$

Step-by-step explanation:

Im assuming that the adult and children meals are the same price. So you just have to add up the amount of children + adults and then divide that by the price of the caterers charge by the amount of people that come to the events.

So you get 35.58$ for each meal.

Hope this helps:)

Answer

Meals for children cost $22 Meals for adults cost $48

Step-by-step explanation:

let x = adults and y= children

Adele: 94x+45y=5502

Nellie: 94x+86y=6404

As you notice they both are catering the same amount of adults.

1. subtract 6404-5502=902

2. subtract 86-45=41

3. 41y=902 y=22

4. plug y into one of the two equations 94x+86(22)= 6404

5. solve the equation

94x+ 1892=6404 6404-1892=4512

94x=4512

x=48

Answer:

7&6 and 8&5 I believe their on the opposite sides

Answer:

tienes que aser multiplicacion y luego la Reglan

Step-by-step explanation:

First find the slope with the equation y/x

80/50=8/5 (you want this in fraction form)

y-80=8/5(x-50)

y-80=8/5x-80

y=8/5x+0

the y-intercept is zero (so place a dot at the origin)

next, go up 8 values and then 5 to the right (5,8), continue to do this process until you have enough points to graph a line. (10,16), (15,24), (20,32)

Hope this helps!

Let [r, s] denote the least common multiple of positive integers r and s. (m+1)(n+1)2ᵏ-1 if k > 1. (If k = 1, then r is prime and c = r, so there are no restrictions on  [a, b].

Consider an ordered triple (a, b, c) of positive integers such that [a, b] = c. Let c = r₁r₂r₃ ... rₖ be the prime factorization of c. Suppose that rᵢ divides a and rⱼ divides b for some i, j (1 ≤ i ≤ j ≤ k). Without loss of generality, suppose that i is the smallest index for which such a condition is met. Since c is the least common multiple of a and b, it must be the case that a / rᵢ and b / rⱼ are coprime.

Since a / rᵢ is a positive integer, it must have a factorization of the form a / rᵢ = p₁p₂p₃ ... pₘ, where each pᵢ is a prime. It follows that a = p₁p₂p₃ ... pₘrᵢ. Likewise, b = q₁q₂q₃ ... qₙrⱼ, where each qᵢ is a prime such that qᵢ ≠ rᵢ. (Note that we have the strict inequality here since a / rᵢ and b / rⱼ must be coprime.)Since c = r₁r₂r₃ ... rₖ is the least common multiple of a and b, it must be the case that each prime factor in the prime factorization of c occurs to the highest power in a and b. This means that each prime factor in the prime factorization of c must be present in p₁p₂p₃ ... pₘ and q₁q₂q₃ ... qₙ except for rᵢ and rⱼ.

There are  \(2^(k-2)\) ways to choose the set of prime factors (aside from rᵢ and rⱼ) that will appear in p₁p₂p₃ ... pₘ and q₁q₂q₃ ... qₙ. This includes the empty set. Note that there is no choice for the prime factors of rᵢ and rⱼ. Also, each prime factor in the prime factorization of rᵢrⱼ must be either in p₁p₂p₃ ... pₘ or in q₁q₂q₃ ... qₙ, but not both. Since there are k-2 such prime factors, there are \(2^(k-2)\) ways to choose the prime factors of rᵢrⱼ. (There is only one way if k = 2.)Finally, there are m + 1 ways to choose the exponents of rᵢ, since it must divide a.

There are n + 1 ways to choose the exponents of rⱼ, since it must divide b. There is only one way to choose the exponent of each of the other primes. This gives us a total of (m+1)(n+1) \(2^(k-2)\)· \(2^(k-2)\) ordered triples (a, b, c) such that [a, b] = c. The answer is therefore: (m+1)(n+1)2ᵏ-1 if k > 1. (If k = 1, then r is prime and c = r, so there are no restrictions on a and b.)

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Total sales = $450*40= $18000

Commision = 18000*0.025 = $450

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

Total earnings = 30000 + commision

comission = 4*175000*0.13 = 91000

Total earnings = 30000+91000 = $121000

The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

Shelby's new weekly wage would be £318.50  if she receives a pay increase  of 45p per hour.

What is Shelby's hourly rate based on the  weekly wage of £302.75?

Shelby's hourly rate can be determined as her weekly wage divided by the number of hours spent working per week, in essence, the hourly rate is based on the weekly wage and the number of hours since the total weekly wage can as well be determined as the hourly rate multiplied by the number of hours working per week

hourly rate=weekly wage/hours spent working per week

weekly wage=£302.75

hours spent working per week=35

hourly rate=£302.75/35

hourly rate=£8.65

her new hourly rate=£8.65+£0.45

her new hourly rate=£9.10

new weekly wage=35*£9.10

new weekly wage=£318.50

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Answer:

5.exactly 1

6.exactly 1

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

the answer for both questions is b

Step-by-step explanation:

because there is only one possible answer

Answer:

\( \angle HIG \: and \: \angle KLI\)

Step-by-step explanation:

\( \angle HIG \: and \: \angle KLI\) are corresponding angles.

Answer:

5

Step-by-step explanation:

6/7 x 5/7 = 35/7

35/7 = 5

The students surveyed have at least one sibling are 65%.

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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The amount paid for both internet service will be equal after 5 months.

The given values for the two companies include the following;

                          Installation fee         price per month

Company A       $60.00                     $42.95

Company B        $25.00                     $49.95

Let the month in which you will pay the same total amount = x

Since the total amount paid will be equal, the final equation becomes;

60   +  42.95x  = 25   +  49.95x

The value of x is calculated as follows;

\((49.95 - 42.95)x = 60- 25\\\\7x = 35\\\\x = \frac{35}{7} \\\\x = 5\)

Thus, the amount paid for both internet service will be equal after 5 months.

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We are to find an equation you can use to find in which month, x, you would pay the same total for each internet service.

The equation is 60 + 42.95x = 25 + 49.95x and the number of months when you would pay the same total amount for each internet service is 5 months

let

x = number of months

Company A

Installment fee = $60.00

price per month = $42.95

Total cost = 60 + 42.95x

Company B

Installment fee = $25.00

Price per month = $49.95

Total cost = 25 + 49.95x

The equation: Equate total cost of company A and company B

60 + 42.95x = 25 + 49.95x

60 - 25 = 49.95x - 42.95x

35 = 7x

Divide both sides by 8

x = 35/7

x = 5 months

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Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Between clock skew and clock jitter, skew is preferred because it is more predictable and can sometimes increase max frequency. This makes it easier to manage in electronic systems and can provide benefits in certain scenarios.

Jitter is preferred because it is predictable. Clock jitter refers to the variability of the clock signal and can be predicted and compensated for. On the other hand, clock skew refers to the difference in arrival time of the clock signal at different points in the circuit and can sometimes increase maximum frequency. However, skew is preferred because it is more predictable and can be compensated for, while jitter is preferred because it is unpredictable and can't be compensated for. Therefore, in general, jitter is considered more preferable than skew.

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Yes, a triangle that has sides with lengths of 9 feet, 12 feet, and 15 feet is a right-angled triangle

A right-angled triangle can be defined as a type of triangle, having one of its interior angles equivalent to 90 degrees.

The properties of right angled triangles include;

From the information given, we have;

Hypotenuse side = 15 feet

Opposite side = 12 feet

Adjacent side = 9 feet

We can see that the properties of a right-angles triangle submits to the parameters given.

Hence, it is a right-angled triangle

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The x-coordinate on the x axis where the electric field produced by the particles is equal to zero is: x = 373 cm

b.

The electric field due to a point charge is given by:

E = k|q|/r^2

where k is a constant, q is the charge of the point charge, and r is the distance from the point charge.

In this case, there are two point charges, so the electric field is the sum of the electric fields due to each point charge:

E = k|q1|/r1^2 + k|q2|/r2^2

where q1 and q2 are the charges of the point charges, and r1 and r2 are the distances from the point charges.

We want the electric field to be zero, so we set the expression above to zero:

0 = k|q1|/r1^2 + k|q2|/r2^2

We can solve for the x-coordinate where the electric field is zero by rearranging the equation and substituting in the values for the charges and distances:

x = (k|q2|r1^2)/(k|q1|r2^2) = (3.24 × 10^-8 C * 0.230 m^2) / (1.77 × 10^-8 C * 0.790 m^2) = 373 cm

In conclusion, the x-coordinate on the x axis where the electric field produced by the particles is equal to zero is 373 cm.

The electric field is a vector field, which means that it has both a magnitude and a direction. The magnitude of the electric field is a measure of how strong the electric field is, and the direction of the electric field is the direction in which the force on a positive charge would point.

The electric field produced by a point charge is inversely proportional to the square of the distance from the point charge. This means that the electric field gets weaker as the distance from the point charge increases.

In this case, the electric field produced by the two point charges is zero at a point that is halfway between the two point charges. This is because the electric fields due to the two point charges cancel each other out at this point.

The x-coordinate of the point where the electric field is zero can be calculated by using the expressions for the electric fields due to the two point charges and setting the expression equal to zero. The x-coordinate of the point where the electric field is zero is 373 cm.

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