Find the missing variable in the following question.

If there is direct variation and y=75 when x=25, find x when y=48

x=16
x=14
x=10
x=12

In coin changing problem,  the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.

The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.

But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.

Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.

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The triangle is an isosceles trianlge. Then the value of the variable 'x' will be 19.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In the event that the air conditioner is harmonious to CB, the proportion of point A = (3x + 18), and the proportion of point C = (2x - 8)

Then the equation is given as,

∠A + ∠B + ∠C = 180°

3x + 18 + 3x + 18 + 2x - 8 = 180

8x + 28 = 180

8x = 152

x = 19

The triangle is an isosceles trianlge. Then the value of the variable 'x' will be 19.

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There are 364 positive variables and 5984 non - negative integers.

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). [1] A negative number is the additive reciprocal of the corresponding positive number. [2] In mathematics languages, sets of integers are often represented by a bold Z or blackboard bold . The integers form the smallest group and smallest ring containing the natural numbers. In algebraic number theory, integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.

Let us take each xi = a₁+1

x₁+x₂+x₃+x₄ = 35

∴a₁+a₂+a₃+a₄ = 31 ,where each ai is non-negative.

Now using the stars and bars method the answer is -

([tex]\left \{ {{31 + 4 - 1} \atop {4 - 1}} \right.[/tex]  = [tex]\left \{ {{34} \atop {3}} \right.[/tex]}

               = [tex]\frac{34!}{3! * (34 - 3)!}[/tex]

               = 5984

A particular solution of this equation corresponds to the placement of 3 addition signs in the 14 spaces between successive ones in a row of 15 ones.

Since, a particular solution of the equation corresponds to the placement of k−1 addition signs in the n−1 spaces between successive ones in a row of n ones, the number of solutions of the equation x₁ + x₂ + x₃ +⋯+xₐ=n in the positive integers is

[tex]\left \{ {{n - 1} \atop {k - 1}} \right.[/tex]}

For instance, placing an addition sign in the fourth, seventh, and twelfth spaces gives

                         1111+111+11111+111

which corresponds to the solution x₁ = 4, x₂ = 3, x₃ = 5, x₄ = 3.

Hence, the number of such solutions is the number of ways we can select which three of the 14 spaces between successive ones in a row of 15 ones will be filled with addition signs, which is

                                    [tex]\left \{ {{14} \atop {3}} \right.[/tex]}

                             = [tex]\frac{14!}{3! * (14 - 3)!}[/tex]

                             = 364

Therefore, there are 364 positive variables and 5984 non - negative integers.

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On solving the provided question, we got to know that he can bake 200/57 loaves or 3 29/57 loafs.

Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or

1 by 8

13 1/3 divided by 3 4/5

Let's first convert these mixed numbers to incorrect fractions.

13  1/3 =  13(3) + 1 = 39 + 1 = 40/3

3 4/5 = 3(5) + 4= 19/5

Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.

40/3 x 5/19 = 200/57

he can bake 200/57 loaves or 3 29/57 loafs.

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the two numbers x and y for which x2y is that value, as well as the highest possible value .P at any solutions found in part d, as well as the endpoints of the domain found as The maximum value of P is =4092, The values of x and y are x=64, y=32.

a. Solve x+y=96 for y.

y=96-x

b. In the equation P=x2y, replace the variable to be maximized with the outcome from part a.

P=x^2(96-x)

c. Find the domain of the function P found in part b.

Dom(P)=[0,96]

d. Find dP/dx. Solve the equation dP/dx=0.

dP/dx=2x(96-x)-x^2=0

Solve the equation

x=0,96

e. Evaluate P at any solutions identified in part d, as well as the endpoints of the domain found in part c.

P(0)=0

P(64)=4096

P(96)=0

f. provide the maximum value of P, as well as the two numbers x and y for which x2y is that value.

The maximum value of P is 4096

The values of x and y that maximize P are x=64, y=32

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To make the similar cake for 8 persons , the number of cups of both flour and milk will be needed is [tex]4\frac{2}{3}[/tex] cups .

In the question ,

it is given that ,

number of cups of milk needed  to make the cake is = 1 cup

number of cups of flour needed  to make the cake is = [tex]2\frac{1}{2}[/tex] = 5/2 cups .

So , the total is = cups of milk + flour

= 1 + 5/2 = 7/2

So , for 6 persons , 7/2 cups of milk and flour is needed .

for 1 person 7/12 cups of milk and flour is needed .

and for 8 persons = 8×7/12 cups of milk and flour is needed .  

= 14/3

= [tex]4\frac{2}{3}[/tex] cups .

Therefore , the number of cups of milk and flour needed is  [tex]4\frac{2}{3}[/tex] cups .

The given question is incomplete , the complete question is

A recipe calls for 1 cup of milk for every [tex]2\frac{1}{2}[/tex] cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 persons ?

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Answer:

5x³ - x - 3

Step-by-step explanation:

(f - g)(x) =

f(x) - g(x) =

5x³-2 - (x+1) =  ==> plug in known values

5x³-2 - x - 1 =   ==> simplify

5x³ - x - 2 - 1 = 5x³ - x - 3

f(x) = 5x³ - 2

g(x) = x + 1

Therefore, (f - g)(x) = (5x³ - 2) - (x + 1) = 5x³ - x - 3

So, (f - g)(x) = 5x³ - x - 3.

The ordered pair in the set of numbers are 1.5 and 5.5. Option C is correct here.

The equation would have to be in the form of y = mx + b

We have b = 7, this is when x ix 0. It is the value of y

Using the pair (0, 7) and (1, 6)

The slope would be : (6 - 7)/(1 - 0)

= -1 / 1 = -1

we would put -1 in the slope equation

where m = -1 and b = 7

Hence y =  -x + 7

Next we would have to use (0, 1) and (1, 4)

similarly,  (4 - 1)/(1 - 0)

= 3 / 1

= 3

we would have to substitute the value of 3 iun the slope equation using b as 1

y = 3x + 1

Since we have two equations given as

y = -x + 7

y = 3x + 1 => Eqn. 2

We would have to solve the simultaneous linear equation as follows, put the value of 1 in 2

-x + 7 = 3x + 1

take the like terms

Collect like terms

4x = 6

x = 1.5

put the value of x in the first equation

y = -x + 7

y = -1.5 + 7

= 5.5

Hence the pair is given as  1.5 and 5.5

Option c is right.

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5.3 ? I think.

The mixed number ver is -5 32/97

To find the distance between two cities on the map, we can use the formula provided in the question:

d = 250n

where d is the actual distance between the cities in miles, and n is the number of inches on the map. Since we are given that the actual distance between the two cities is 1,125 miles, we can substitute this value for d in the formula above to find the number of inches on the map:

1,125 = 250n

Solving for n, we get:

n = 1,125 / 250 = 4.5 inches

This means that the distance between the two cities on the map should be 4.5 inches, so the correct answer is (D) 4.5 inches.

Answer:

have her do the number times each number every time so if the number is seven and there is a four on top, add or multiply or subtract 7 by 4

Step-by-step explanation:

Range is the measure of variability which is not dependent on the exact value of each score.

In terms of variability, range is independent of the exact value of each score, and in terms of central tendency, median is the measure that is independent of the exact values of each score.

What is a range?

Range is basically the difference of the highest and the lowest value of a series. The range has nothing to do with the exact value of each score. It just considers the highest and the lowest values of any given class for its calculation.

Range= highest value- Lowest value

That is the reason, why, Range is the independent measure of variability.

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a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

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His bottom line was a gain from selling and 3% commission is $257.50.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The cost price of 200 shares of BUI is (19.50×200) = $3900.

The selling price of 200 shares of BUI is (20.75×200) = $4150.

The net gain is (4150 - 3900) = $250 and with 3% commission it is,

= (103/100)×250.

= $257.50.

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The probability of the following event. The first die is 3 or the sum is 6 would be 1/4.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

All events must have a probability of occuring at least once, or 1.

The proportion of positive outcomes to all outcomes is referred to as the probability formula.

Let's assume that the blue die came up first among the two.

A = the amount of times we roll a first-die and get a 3.

B is the quantity of times a total of six occurs.

Now Locate 3 on the blue die and notice there are 6 occurrences when this happens which corresponds to the 6 other possibilities for the red die. So we have A = 5.

Also,there are 5 occurrences of the sum "6" in the table. So B = 5.

We have A+B = 5+5 = 10 occurrences of either the first die is 3 or the sum is 6.

However, we have to subtract off 1 because we double counted "6" when adding A and B.

So in reality we have 10-1 = 9 times this happens.

This is out of 36 total ways to roll two dice.

Therefore, the probability of the following event.

The first die is 3 or the sum is 6 would be 9/36 = 1/4

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The value of the formula will be;

⇒ S = 180 (n - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Now,

Since, The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Hence, We can formulate the expression as;

⇒ S = 180 (n - 2)

Thus, The value of the formula is,

⇒ S = 180 (n - 2)

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After solving the given expression it will be equivalent to [tex]8^\frac{x}{3}[/tex]. Hence,  option C is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

[tex]\sqrt[3]{8}^x[/tex]

So, this form is written as power/root

Then, then it can be written as  [tex]8^\frac{x}{3}[/tex].

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Answer:

The answer is 65 degrees fahrenheit.

Step-by-step explanation:

Answer:

$226

Step-by-step explanation:

1. define the variable x

x = # of days to rent the carpet cleaner

2. substitute x for 7 days

c(7) = 30(7) + 16

3. solve

c(7) = 210 + 16

c(7) = 226

For 7 days, Rhonda will have to rent the carpet cleaner for $226.

Answer: it should be C.

Step-by-step explanation: because its ascking to describe the formation.

========================================================

Explanation:

Let point C represent the center of the planet.

Segment QC is 2810 miles long as it's one of the radii.

Segment DC is 1970+2810 = 4780 miles long after adding on the height of the mountain.

Triangle DQC is a right triangle. That allows us to use a trig ratio to determine theta. Specifically we'll use cosine.

cos(angle) = adjacent/hypotenuse

cos(theta) =  QC/DC

cos(theta) = 2810/4780

theta = arccos(2810/4780)

theta = 53.9942734 degrees approximately

A full 360 degree rotation takes 24 hours. We take a fraction of that to find how many hours it takes for that planet to rotate so point P ends up where point Q is currently located.

(theta/360)*24 = (53.9942734/360)*24 = 3.599618

That's the number of approximate hours it takes. Multiply that by 60 to determine how many minutes it takes.

3.599618*60 = 215.97708

Then that rounds to the final answer 215.98 minutes.

Injective function is a type of function which relates an element of a given set with a distinct element of another set. An injective function is also referred to as a one-one function.

Let's start by listing supposition and their respective reasons.

Suppose,

g О f is injective then f : A → B is also injective.

As we are dealing with injective functions, we can rightly proceed.

The functions f(x) = f(y) when x,y ∈ A

g(f(x)) = g(f(y))

Given the fact that g О f ,then x = y

Thus, we can say that since g О f , f : A is an injective function too (one to one function)

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Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = [tex]\frac{1}{2}[/tex] ( RS - RT ) = [tex]\frac{1}{2}[/tex] × (84 - 60)° = [tex]\frac{1}{2}[/tex] × 24° = 12°

Slope: −34

y-intercept: (0,−14)

[IF ITS WRONG TELL ME]

Answer:

y=5x

Step-by-step explanation:

Because we already know we need atleast 5 quarters to complete a full load (Wash and dry) so we would multiply that number by how many loads were doing (x) and y is the amount we need. For example five loads is y=5x5 and then we can find y which would be y=25

A concentric square and circle intersect at 8 points. the area of A2, A6 is (3/4)s²

Generally, let's call the side length of the square s and the radius of the circle r.

We can set up the following equation:

(s/2)² + (r/2)² = (5/8) * s²

We can rearrange this equation to solve for r:

(r/2)² = (5/8)s² - (s/2)²

Evaluate the exponents

This gives

r²/4 = 5/8s² - s²/4

Multiply through by 4

So, we have

r² = 5/2s² - s²

Evaluate the like terms

This gives

r² = 3/2s²

Take the square roots of both sides

So, we have

r = s√(3/2)

Since A1, A3, A5, and A7 are the vertices of the square, the area of this region is (s/2)²,

When expanded, this gives

Area = 1/4s².

The area of A2, A6 can be found by subtracting the area of A1, A3, A5, and A7 from the area of the entire square.

This gives us:

A2, A6 = s² - (1/4)s²

Evaluate

A2, A6 = (3/4)s²

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The sample type is option (D) Systematic random sample

Here they randomly select one of the first 25 users each day and show them a message asking for a donation

They also show the message to every 25th user from that point on

The random sample is the selecting one from a large population

The systematic random sample is defined as the probability sampling method from a large population, the random samples are selected periodically. The periodical selection of random variable means the random variables are selected in regular interval.

Here the random samples are selected as one of the first 25 users each day

Therefore, the random sample is systematic random sample

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Answer: 4x

Step-by-step explanation:

Combine like terms

3x + x

4x

Hope this helps!

Answer:

  4x

Step-by-step explanation:

You want to "solve" 3x +x.

Start by understanding the meaning of 3x. The coefficient of 3 tells you how many instances of x you have. The term 3x is a representation of repeated addition:

  3x = x + x + x . . . . . . . . x is included in the sum 3 times

The sum 3x + x can be written out as ...

  3x + x = (x + x + x) + x

This is fully equivalent to ...

  3x + x = x + x + x + x

We recognize the sum on the right includes 4 instances of x, so can be written using a coefficient as ...

  x + x + x + x = 4x

This means ...

  3x + x = 4x

If we use the distributive property, we can also get there this way:

  3x + x = 3x + 1x = (3 +1)x = 4x

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The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1, or 2 callers having to wait for more than 8 minutes which is 0.810

The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :

P(X ≤ 2) = P(0) + P(1) + P(2)

Using the individual probabilities given by the histogram attached :

P(X ≤ 2) = 0.181 + 0.345 + 0.284

P(X ≤ 2) = 0.810

Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810

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If we suppose that x is equal to 0, then the value of y is 2(0)+3y = 3, and y is equal to 1. Therefore, (0,1) is one of the answers to this equation.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

The formula is 2x + 3y = 3. There are an infinite number of solutions to this equation.

We must first enter any random value for any variable, followed by the matching value for the other variable, in order to find any solution to this equation.

Now, if we suppose that x is equal to 0, then the value of y is 2(0)+3y = 3, and y is equal to 1. Therefore, one of the solutions to this equation is (0,1).

Hence, If we suppose that x is equal to 0, then the value of y is 2(0)+3y = 3, and y is equal to 1. Therefore, (0,1) is one of the answers to this equation.

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Complete question-

Find the one of the solution of 2x + 3y = 3?