the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

The elimination method is used for solving linear equations. Here we make use of the addition property of equality, that is when same number is added on both sides of equation, it still remains equal.

Lets look into some examples.

     x + y = 10  

      x - y = 2

By adding both equations,

     x + y + x - y = 10 + 2

 + y and - y are cancelled or y term is eliminated.

      2x = 12

       x  = 6

     2x + 3y = 10

   -3x + 3y  = 15

Here to eliminate y, we have to add the additive inverse of second equation.

  2x + 3y + 3x - 3y = 10-15

    5x = -5

      x = -1

   x + 4y = 5

   3x - y = 2

To equalize the y term we multiply the second equation by 4

   12x - 4y = 8

Adding both equations,

x + 4y + 12x - 4y = 5 + 8

13x = 13

x = 1

So elimination method is used for solving linear equations.

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Answer: you will need 8 cars. 4 can go into 7 evenly so you will have to left over. So 8 cars will be necessary.

Step-by-step explanation: divide 30 by four which equals 7.5 so we can just round up and say we need 8 cars

To determine how many cars are needed to transport 38 students, we need to divide the total number of students by the number of students that can fit in each car.

According to the problem, each car can hold 4 students and a driver. Therefore, the total number of people that can fit in one car is 4+1 = 5.

To transport 38 students, we need to divide 38 by 4 to find the number of cars needed to transport all the students.

38 ÷ 4 = 9 remainder 2

This means that 9 cars can transport 36 students (9 cars x 4 students per car), but we still have 2 students left.

Therefore, we need an additional car to transport the remaining 2 students.

In total, we need 10 cars to transport all 38 students.

Answer:

Any value

Step-by-step explanation:

X is a variable, meaning it can be any number, and they are just using our variable, x, as a little mask to hide the exact value. In math, we will usually need to find x by solving different equations.

Examples:

x + 4 = 7

Know, x in this case is 3 because we just know 3 + 4 = 7, but x can be any value, and sometimes it gets more complicated than this. For example, we can have something like:

2x + 8 = 16

In this case, we need to have multiple steps to solve for x. First, we minus 8 from both sides:

2x = 8

Then we divide by 2:

x = 4

So, we know x = 4. In conclusion, x is a variable that is hiding a value, and you will need to either solve or substitute x. Meaning x can be any value.

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Since Mary and Max are playing a game with complex numbers, Max's score must be equal to 1/(3 + 2i), so that the product of their score is one.

A reciprocal function simply refers to a type of function which comprises a constant on its numerator and an algebraic expression or complex number in its denominator such as: f(x) = 2/3 + 7i.

In Mathematics, a reciprocal function is typically used when describing relationships that are inversely proportional to one other.

Let the variable n represent Max's score. Therefore, a mathematical expression which models the product of both Mary and Max's score is given by the following:

Product = 3 + 2i × n = 1

Making n the subject of formula, we have the following as Max's score;

n = 1/(3 + 2i)

Check:

3 + 2i × 1/(3 + 2i) = 1

(3 + 2i)/(3 + 2i) = 1

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Answer: We can use two variables, x and y, to represent the number of dimes and nickels Adrian has, respectively.

We know that Adrian has twice as many nickels as dimes, so we can write the equation:

y = 2x

We also know that the total value of the coins is $1, and since nickels and dimes have different values, we can write the equation:

0.05y + 0.1x = 1

So the system of equations is:

y = 2x

0.05y + 0.1x = 1

These equations can be solved simultaneously to find the number of nickels and dimes that Adrian has.

Step-by-step explanation:

Answer: X+ywwiww asksn q9ru3

Step-by-step explanation:

88-2

A meal that you could put together that provides 4 servings of both a main

course and a side dish and not exceeding the weight limit is 4 servings of

chicken and 4 servings of baked beans.

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given, Each box can hold a maximum of 44 ounces.

By observing the given table we see 4 servings of chicken would weight

2×12.6 oz = 25.2 oz.

And 4 serves of baked beans weigh 14.2 oz.

Therefore, The total serving would weigh (25.2 + 14.2) oz.

= 39.4 oz.

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To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].

Substitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.

If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.

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Answer: 1/4

Step-by-step explanation:

Method 1

this method only works when there is a visual graph, but you can oick 2 points. then go to the point farthest to the left ide of the graph. then count up to be on the same y coordinate as the other point. then count over to be on the same x point, hence 1/4 (up 1 over 4)

Method 2

You can also pick 2 points, and put them into this formula to find slope ([tex]\frac{x2-x1}{y2-y1} }[/tex] then you plug in so the point farthest left would be x1 and y1 and the other point would be y1 and y2 so when you plug in and solve you get 1/4

Answer:

Step-by-step explanation:

rise/run

=1/4

The graph of the inequality system is attached. The coordinate of a point in the solution set is (-1, 2).

In order to graph the system of inequalities graphically, consider the equation of each inequality.

y = x – 1

y = x - 4

Choosing a few values of x, plot the graph for each equation. Shade the area bounded by the line based on the inequality. If the inequality is less than, shade the area right to the line and if the inequality is greater than, shade the area left to the line. Hence, y < x – 1 is represented by red area and y > x – 4 is represented by blue area. The overlapping shaded area contains the coordinates that represent the solution of the inequality system. The coordinate of a point in the solution set is (-1, 2).

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Answer: 6.280

Step-by-step explanation:

Marla is 30 years old.

Let marla age be x and Darla age be y

Given : Marla is four years less than twice as old as Darla

What is equation ?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Marla is four years less than twice as old as Darla can be represented as : 2y - x = 4

sum of their ages is 47 can be represented as : x + y = 47

Solving both the equation using addition we got ,

3y = 51

y = 17

Substituting the value of y in x + y =47 , we get

x + 17 = 47

x = 47 -17

x = 30

Hence , Marla is 30 years old.

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Therefore, N2 and 2N are not equal, they are different mathematical expressions.

A finite collection of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

A mark, sign, or term that denotes, denotes, or is taken to denote a concept, an item, or a connection is known as a symbol. By connecting seemingly unrelated ideas and events, symbols let individuals look beyond the known and the visible.

No, N2 and 2N are not the same.

N2 is the square of N, which means it is N multiplied by itself. For example, if N = 5, then N2 = 5*5 = 25.

2N, on the other hand, is N multiplied by 2. For example, if N = 5, then 2N = 5*2 = 10.

So, N2 and 2N are not equal, they are different mathematical expressions.

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The initial saving of the Winston was $55952.48

Compound interest is when you receive interest on both your interest income and your savings.

According to the question given,

Let the initial savings amount be P

We know Compound interest =

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per year

t = number of time periods elapsed

Given,

A = $65000

t = 3 years

r = 5% = 0.05

n = 2 *12 = 24

So

65000 = P(1 + (0.05/24))^72

P =  $55952.48

Therefore the initial savings was  $55952.48

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The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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The four equations of uniformly accelerated motion are:

[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]

Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:

These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.

The first equation is a result of the definition of acceleration.

The second one is derived from the first equation and the definition of distance.

The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.

The fourth equation is derived by dividing the distance traveled by the time taken.

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The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)

Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.

If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:

rate = (18 1/2 gallons)/(4 1/4 hours)

rate = 4 6/17 gallons per hour

Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)

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The probability that exactly 4 cars will enter the car wash in an hour is 0.195

Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:

P(X = 4) = (e^(-4) * 4^4) / 4!

where e is approximately 2.71828, and 4! is

4 * 3 * 2 * 1 = 24.

Plugging in the values, we get:

P(X = 4) = (2.71828^(-4) * 4^4) / 24

P(X = 4) =0.195

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The volume of the cone is 50π cubic units .

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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The irrational numbers to children can be explained as the numbers  that can be written as a nonrepeating or nonterminating decimal .

What are Irrational Numbers ?

The real numbers that can be represented as a nonrepeating or a nonterminating decimal but not as a fraction, and the decimal that goes on forever without repeating.

For Example : [tex]\sqrt{2} , \sqrt{5} , \sqrt{7}[/tex] are few example of irrational numbers .

In simpler words : the irrational number is a number that is not rational. which means It is a number which cannot be written as a ratio of two integers or cannot be written as fraction.

and If a fraction has a 0 in the denominator , it is an irrational number .

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Three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color is 0.8824 or 88.24%

The likelihood or chance that a specific event will occur is represented by a probability.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportion with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given that three cards are chosen from a pack of 52 cards.

There are 26 cards of each color (i.e. 26 cards are red color and 26 cards are of black color)

The probability of drawn first card of any one color is

P(1)= 26/52 = 1/2

The probability of drawn second card of same color is

P(2)= 25/51

The probability of drawn third card of same color is

P(3)= 24/50 = 12/25

The probability of having three cards are same color is

P = P(1)*P(2)*P(3)

P = 1/2 * 25/51 * 12/ 25

P = 6/51

So the probability that three cards are not all the same color is

P' = 1 - P

P' = 1 - 6/51

P' = (51-6)/51

P' = 45/51 = 15/17

P' = 0.8824

The likelihood that the three cards are not all red is roughly 0.8824, or 88.24%,

.

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In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.

An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.

Popcorn Sales     Popcorn Cost ($)      Number Sold Over w Weeks

Buttered                   11                                        8w+9

Caramel                    11                                        6w−1

After 12 weeks of total buttered popcorn, he will make the sale

= $11 * (8*12 + 9)

= 11 * (96 + 9)

= $1,155

After 12 weeks of total caramel popcorn, he will make the sale

= $11 * (6*12 - 1)

= $11* (71)

=$781

In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374

Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.

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Answer:

65

Step-by-step explanation:

We are given f(x) = 9

Substitute 9 for x in f(x) = 8x - 7

f(x) = 8 (9) - 7

f(x) = 72 - 7

f(x) = 65

Answer: 47

Step-by-step explanation:

4.72 / .1= 47

47

C) The whole hundredths of 2347 is 234700 hundredths.  Zero-tenths are in 2,347. The whole tenth of 2347 is 2470tenth.

D) The tenth in 234. 7 are 7. The whole tenth of 234. 7 is 2347.

What is the tenth?

The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal.

Given number is 2347.

To find the whole hundredth, multiply the number by 100.

The whole hundredth in 2347 is 2347 × 100 = 234700.

The given number can be written as 2347.0.

Thus tenth of 2347 is 0.

To find the whole tenth, multiply the number by 10.

The whole tenth in 2347 is 2347 × 10 = 23470.

Thousand     Hundred       Ten      decimal point     Tenth

     2                      3              4                   .                    7

The tenth of in 234. 7 is 7.

The whole tenth in 234. 7 is 234.7 × 10 = 2347.

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The order of the quantities in an inequality matters. Therefore, it is true.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

When resolving an inequality, you can do one of the following: Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount. You must flip the inequality symbol if you multiply or divide each side by a negative number.

Therefore, the order matters.

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Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

The answer is 90 times to expect picking an apple or banana.

If the fruit is chosen 300 times, then it would be a 1:3 ratio of apple or banana to the other fruits. This means that 100 times out of the 300 times, you would expect to pick an apple or banana.

Predicting the outcome using the experiment results because 300 times is a sizable number.

8+4 is either an apple or a banana in 40 times.

Therefore, the solution would be x in 300 times.

[tex]x = \frac{300}{40}[/tex] x12

x = 90

Therefore, the probability of picking an apple or banana is 90 times.

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A reflex angle is an angle which measures more than 180 degrees and less than 360 degrees.

There are different types of angles in geometry, such as obtuse, acute and right angles, which all are under 180 degrees.

Assume, z is an acute or obtuse angle, and r is the reflex angle, then:

z + r = 360

r = 360 - z

Therefore, we can find the related reflex angle(r), if we know the value of the acute or obtuse angle(z).

A reflex angle equals the summation of 180 degrees and any of the primary angles (acute, right and obtuse angles). Therefore,

Reflex angle = 180° + Acute angle

Reflex angle = 180° + Right angle

Reflex angle = 180° + Obtuse angle

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Equivalent fractions are those that, despite their visual differences, reflect the same value. we consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.

Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

If the denominators differ, similar fractions with a common denominator must be used. This requires figuring out the LCM of the two denominators. To be used as a denominator in fractions with various denominators, rename the fractions with a similar denominator.

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Answer:

C. 50%

Step-by-step explanation:

Since 40 is half of 80, and 50% means half, and 42 out of 80 is close to half, then 42 out of 80 is close to 50%.

Answer: C. 50%

Answer:

b25

Step-by-step explanation:

beacuse that is a rain and reasonable he percentage