what do i do if there is a word problem with x but there isnt a number for x

The number of cups of flour should be used if 12 cups of sugar are used is 6.

Determine the purpose of the relationship. Start by identifying what you want the ratio to show. Each ratio uses different data, so you need to make sure you're using the correct information to get the details you need.

set the formula. A ratio compares two numbers, usually by division. When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10.

Solve the equation. Divide data A by data B to get the ratio. In the example above, 5/10 = 0.5.

16 cups of flour are mixed with 8 cups of sugar and for 12 cup ratio should be same

so 16/8 = 12 /x

x = 6

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There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.

There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.

Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.

There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:

13! x 24 = 71,536,320

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The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.

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

The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.

GJ / GH = GK / GI, then the side KJ is parallel to the side HI.

In triangles ΔIGH and ΔGFE, then we have

∠IGH = ∠FGE        (Vertival angle)

∠1 = ∠2                         (Given)

Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have

GJ / GE = HG / FG, then the side FE is parallel to the side HI.

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The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.

The correlation coefficient (denoted by ρ) between x and y can be calculated as:

ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.

We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:

ρ = 25 / (10 * 5) = 0.5

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The dot product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex]  in terms of the positive scalar quantities a, b, c, and d is:

[tex]\vec{A}.\vec{B}=-ab[/tex]

The scalar product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex] is given by the formula:

[tex]\vec{A}.\vec{B}=(a_1*b_1) + (a_2*b_2) + (a_3*b_3)[/tex]

Where a₁, a₂, and a₃ are the components of vector [tex]\vec{A}[/tex] and b₁, b₂, and b₃ are the components of vector [tex]\vec{B}[/tex].

In this case, vector A = (ai - bk) and vector B = (- cj + dk), so the components of vector A are a₁ = a, a₂ = 0, and a₃ = -b, and the components of vector B are b₁ = 0, b₂ = -c, and b₃ = d.

Plugging these values into the formula for the dot product, we get:

[tex]\vec{A}.\vec{B}=(a*0) + (0*-c) + (-d*b)\\\\\vec{A}.\vec{B}= 0 + 0 + (-bd) \\\\\vec{A}.\vec{B}=-bd[/tex]

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Answer:

$500 gain

Step-by-step explanation:

Sonu spent $2500 on the fridge itself, and he also spent an additional $300 on the repairs. He spent a total of $2800. He sold the fridge for $3300.

To find the loss or gain, we can subtract 2800 from 3300 to see how much total profit he made.

3300-2800=500

Sonu made a $500 gain.

Answer:

$500 gain

Step-by-step explanation:

mark me please

Answer:

y

Step-by-step explanation: People there: S (Seti), A, B, C, D, E, F, G, H, I, J

friend group:

S is friends with A, B

A is friends with B, C

B is friends with C, D

C is friends with D, E

E is friends with F, G

F is friends with G, H

G is friends with H, I

H is friends with I, J

I is friends with J, S

J is friends with S, A

Answer:

Yes, it is possible

Step-by-step explanation:

Think the people as points in space and the friendship between two people as a line connecting two points.

Then the question is equivalent to asking whether it is possible for all 11 points being connected by lines such that every point is connected to exactly three other points.

Clearly this is possible, since we always have, for each point, ten other points to connect it to, so we can select any three of the ten.

Check the picture below.

so the figure is really just a semi-circle, a rectangle and three triangles, let's simply get their area and sum them all up.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ semicircle }{\cfrac{1}{2}\pi (2)^2}~~ + ~~\stackrel{ rectangle }{(4)(5)}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{3})(\underset{h}{2})}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{4})(\underset{h}{1})}~~ + ~~\stackrel{ triangle }{\cfrac{1}{2}(\underset{b}{4})(\underset{h}{2})}} \\\\\\ 2\pi ~~ + ~~20~~ + ~~3~~ + ~~2~~ + ~~4 ~~ \approx ~~ \text{\LARGE 35.28}[/tex]

If Johnny sets his watch 2 days ado then after two days watch will behind 18 seconds.

Addition is a basic mathematical operation that combines two or more numbers to give a total or sum. It is one of the four elementary arithmetic operations, along with subtraction, multiplication, and division. The operation involves adding or combining the values of two or more numbers, which are called addends, to produce a new value, which is the sum or the total.

If Johnny last set his watch 2 days ago,

we can substitute d = 2 into the equation:

s = d + 16

To find out how many seconds behind his watch is.

s = d + 16

s = 2 + 16

s = 18

So, Johnny's watch is 18 seconds behind if he last set it 2 days ago.

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If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.

According to the question:

Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.

Quantity of butter = 1/8

Number of batches = 4

To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.

If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond

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Coordinates of the point on the directed line segment from (1, 2) to (6,7) that partitions the segment into a ratio of 2 to 3 are (3, 4).

Using proportions, it is found that the coordinates of the desired point are (2,2).

The first point is A(1, 2)

The second point is B(6, 7)

The desired point is C(x, y)

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{2}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - 1 = \frac{2}{5}(6 - 1)[/tex]

x - 1 = 2

x = 3

Now, [tex]y - 2 = \frac{2}{5} (7 - 2)[/tex]

y - 2 = 2

y = 4

Therefore the coordinates of the points are (3, 4).

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There are [tex]10^{4}[/tex] = 10,000 different possible musical entertainment lineups that can be created from a list of 10 songs.

This is computed by using the formula for combinations without repetition, which is [tex]n^{r}[/tex], where n is the number of items in the list and r is the number of items to be selected. In this case, n = 10 and r = 4, which results in [tex]10^{4}[/tex] = 10,000.

It is important to note that this calculation does not take into account any repetitions of songs, so if the same song appears more than once in the list, then the actual number of possibilities could be less. For instance, if there is a list of 10 songs, but 5 of them are the same, then the number of possible lineups would be[tex]10^{4/5}[/tex]! = 800, taking into account the repetitions.

To illustrate this further, if we were to list all the possible lineups, then we would end up with 10,000 unique combinations of 4 songs. For instance, a possible lineup could be Song 1, Song 5, Song 8, Song 10. Another possible lineup could be Song 4, Song 7, Song 9, Song 10. This process could be repeated with any combination

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Donna is not correct, as the mean is of 7.1 kg, which is greater than 7 kg.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The sum of the data-set in this problem is given as follows:

4 x 5 + 5 x 9 + 1 x 6 = 71 kg.

The number of observations is given as follows:

10.

Hence the mean is given as follows:

71/10 = 7.1 kg > 7 kg.

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The rate at which the people are moving apart 15 minutes after person B starts walking is √2660 feet per second. To the nearest tenth of a foot per second, this is 51.3 feet per second.

Let's call the rate at which the people are moving apart "d".

15 minutes after person B starts walking, person A has been walking for 15 + 5 = 20 minutes, for a total distance of 20 * 4 = 80 feet north from point P.

At the same time, person B has been walking for 15 minutes, for a total distance of 15 * 5 = 75 feet south from point 500 feet due east of P.

The distance between the two people is the square root of the sum of the squares of their north-south and east-west separations, or:

d = √(80^2 + (500)^2) = √(80^2 + 250000) = √250100 = 500

Since the rate at which they are moving apart is the derivative of their separation with respect to time, we can find it by taking the derivative of the above equation with respect to time:

d/dt = √(2 * 80 * 4dt / dt + 2 * 500 * 5dt / dt) = √(160 + 2500) = √2660

To the nearest tenth of a foot per second, this is 51.3 feet per second.

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Mary  age  is ( x -1 ) years old now.  4 years ago=  ( x -1 )-4 =0,  x=4+1=5,

now he is x -1 =5-1=4,  4 years ago=5-4=1 year,  iii) (3*8/3+8)=16 year old

Will he be 8 years from now  .now she is 4  year old now.

if he is x year old . he will be 8 years from now=(3x+8)=0

x=- 8/3. now his age is (3x+8) =(3*8/3+8)=16

A time of human existence, defined in years starting at birth, that is typically characterized by a certain stage or degree of mental or physical development and involves the potential for legal responsibility. the discretionary age. the legal drinking age. The legal drinking age was increased by the state from 18 to 21. Age is a notion that describes a person's age at a specific period. It is described as the measurement of the amount of time that has passed between the date of the live birth to a particular point in time, typically the date the data was collected. Age range, according to the Longman Dictionary of Contemporary English, is the term for a group of people who fall between two certain ages.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4.8 \times 10 {}^{8}}{ 1.6 \times 10 {}^{ - 4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4.8 }{ 1.6 } \times \dfrac{10 {}^{8} }{10 {}^{ - 4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{(8 - ( - 4))} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{(8 + 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times10 {}^{12} [/tex]

So, The correct choice is : A.) 3 × 10¹²

The solution of x in the triangle is 11.5

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the Pythagoras theorem, we have the following equation

x^2 = 13^2 - 6^2

Evaluate the expression

x^2 = 133

Take the square roots of both sides

x = 11.5

Hence, the solution is 11.5

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Answer:

# of appointments is 3

Step-by-step explanation:

He makes $75 per appointment, which means this immediate value is directly dependent on the number of appointments (x). So it can be given by 75x.

Tips are simply added, tips are not directly dependent on the number of visits as customers will tip differently so we can add $40 to the equation.

Now we must negate the expenses, each appointment there is a fee of $10. So it can be given as 10x.

We know that this all must equal $235.

So the equation is as follows:

235 = (75x)+40-(10x)

Simplifying we get

235 = 65x + 40

195 = 65x

195/65 = x

x = 3

Therefore, Logan had 3 appointments.

Answer:

22/7 or 3 1/14

Step-by-step explanation:
the most common denominator is 28 for both so the denominator is 28
then added them and simplified them in mixed and normal form because I forgot which was which. Hopefully this is correct, if not I am sorry.

The independent variable of the question is c:the number of cars Lamar and Allie wash while the dependent variable is s: the number of hockey sticks Lamar and Allie will be able to purchase

The independent variable is defined as the variable that you change and control in your experiment. The dependent variable is defined as the variable that you don't have control over and is affected by the way that the independent variable reacts.

The parameters given are;

s = the number of hockey sticks Lamar and Allie will be able to purchase

c = the number of cars Lamar and Allie wash

Now, since the number of cars they wash determines how much money they will get to buy a new car, then we can say that c is the independent variable while s is the dependent variable as it depends on c to be actualized.

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The radius of the curved part of the track will be 37.3m.

Solution:

Given that

The length of straight parts = 80m each

The total length of the track = is 400m

So, the total length of curved parts = 400 - (80*2) = 240m

Therefore, the radius of the curved parts =

[tex]2\pi r = 240\\r = 240/2\pi \\[/tex]

Hence, r = 37.3m.

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The solution of the given system of linear equations is (1, -1)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given is a system of linear equations, x - 3y = 4 and y = -3x + 2, we need to find the point which is the solution of the system,

The linear equations are :-

x-3y = 4...(i)

y = -3x+2....(ii)

Put eq(ii) in eq(i)

x-3(-3x+2) = 4

x+9x-6 = 4

10x = 10

x = 1

Put x = 1 in eq(ii)

y = -3+2

y = -1

Therefore, the solution point is (1, -1)

We can find the solution point by graphing method also, we will plot the graph of the lines and the line where intersects is the solution point is (1, -1) [attached]

Hence, the solution of the given system of linear equations is (1, -1)

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The complete question is (Multiple Choice Worth 2 points)

(Systems of Linear Equations MC)

Which point is a solution of the system of linear equations?

x - 3y = 4

y = -3x + 2

A) (9,0)

B) (-5, 8)

C) (1, 1)

D (1, -1)

In a case whereby the  total mass of a box and some oranges was 25 kg. The total mass of the same box and some apples was 11 kg. The mass of the oranges was 3 times the mass of the apples, the mass of the oranges is 21kg.

The concept that will be used here is simplificatiopn.

We can set up as:

let a represent the box

let b represent the orange

lect c represent the apple

Then a + b = 25

a+ c = 11 ....................................................(2)

b = 3c.......................................(3)

substract equation 2 from 1

b-c = 11 ....................................(4)

substitute eqn 3 into 4

b-c = 14

3c - c =14

2c= 14

c= 7

from eqn 3

b = 3c

b = 3*7 =21

Then mass of orange = 21 kg

from  eqn 2

a+ c = 11

a= 11-7= 4

mass of empty box = 4kg

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Danielle's sales last week were $. At her job at an electronics store, Danielle receives a  $4,295.16 commission on every sale.

What is an electronics store?

Let's start by first finding out how much commission Danielle earned last week. We know that her total earnings were $1,058.25 and her base salary was $725 per week. Therefore, her commission must have been:

                          $1,058.25 - $725 = $333.25

We also know that Danielle earns a 7.75% commission on everything she sells. Let's use "x" to represent her total sales last week. Then we can set up an equation to solve for x:

                                   0.0775x = $333.25

Solving for x, we get:

x = $333.25 / 0.0775

x = $4,295.16

Therefore, Danielle's sales last week were $4,295.16.

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Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.

In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.

A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

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By using the unitary method to find out that Priya practiced the violin for 45 minutes, which is 75% of the time Han spent practicing the piano.

Unitary method is a method that involves finding the value of one unit and then using that value to find the value of multiple units. This method is particularly useful in solving problems that involve proportions, ratios, and rates.

Now let's apply the unitary method to the given problem. We know that Han practiced the piano for 60 minutes over the weekend. We also know that Priya practiced the violin for 75% as much time as Han practiced the piano. To find out how long Priya practiced, we need to first find out how long 75% of Han's practice time is.

To do this, we can use the following equation:

75% of Han's practice time = 75/100 x 60 minutes

= 45 minutes

So Priya practiced the violin for 45 minutes over the weekend.

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The division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

What is synthetic division ?

Synthetic division is a simplified method of polynomial division that can be used to divide a polynomial by a linear binomial. It's used to find the quotient and remainder of a polynomial division without having to perform long division.

In synthetic division, the coefficients of the polynomial are arranged in a table along with the coefficients of the divisor, and then divided and multiplied using the same rules as in long division. The remainder of the division is the last entry in the table, and the quotient is the polynomial whose coefficients are the entries in the table, excluding the remainder.

To perform synthetic division, we divide x³ + 9x² + 12x - 5 by x + 7 by dividing each coefficient by x + 7 and then writing the result in a table with the dividend on top and the divisor on the bottom. Here's what the table would look like:

 + 7 |  1  9  12 -5

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

x^3  | x^3  9  12 -5

x^2  | x^2 +7x  3 -35

x    |  x +7  10 -70

   -------------------

       10  43 -75

The quotient of the division is x² + 7x + 10, and the remainder is -75.

Therefore, the division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

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To represent Brandon's total collection of quarters and dimes, let's use variables.

Let:

q be the number of quarters

d be the number of dimes

The following equations can be used to represent the given information:

The quarters and dimes are worth a total of $9.6:

0.25q + 0.10d = 9.6

The quantity of quarters is 348 less than 8 times that of dimes.

q = 8d - 348

To get a solution for one of the variables, we can use substitution. We may solve for d by substituting the expression for q from equation 2 into equation 1:

0.25q + 0.10d = 9.6

0.25(8d - 348) + 0.10d = 9.6 (substitute q = 8d - 348)

2d - 87 + 0.10d = 9.6

2.10d = 96.6

d = 46

Now that we know d = 46, we can use equation 2 to solve for q:

q = 8d - 348

q = 8(46) - 348

q = 16

Therefore, There are 46 dimes and 16 quarters in Brandon.

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Answer:

It will take Richard 12 minutes to type 720 words.

Step-by-step explanation:

720 ÷ 60 = 12

We can say that  by equation 12 metres below the ocean's surface, a fish may be found. 28 metres above the ocean's surface, a sea bird may be seen and distance between them is 40 meters.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

We require knowledge about an object's elevation to tackle such issues.

12 metres below the ocean's surface, a fish may be found.

28 metres above the ocean's surface, a sea bird may be seen.

A fish is 12 metres below the ocean's surface.

The fish's elevation is negative since it is below sea level. Consequently, the fish's elevation is -12 metres.

B.) A marine bird flies 28 metres above the water's surface.

given that the seabird is above the water. The sea bird is 28 metres above sea level.

If the bird soars straight over the fish, (C),

If the fish and the bird are immediately above one another,

Distance between fish and bird = |(elevation of the fish)| + |(elevation of the sea bird)|

= |-12| + |28|

= 12 + 28

= 40 meters

distance between them is 40 meters.

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