PLEASE HELP!!!! What is the least common denominator that can be used to solve this equation? 1/x + 2/x-3 = 5
A. x-3
B.x
C.5x (x-5)
D.x(x-3)

Answer:

\(\huge\boxed{\text{6 by 10 inches}}\)

Step-by-step explanation:

In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.

We can now solve this systems of equations by using substitution.

Let's change the equation \(ab=60\) into the form \(a= mb+c\).

We can divide both sides by b.

\(a = \frac{60}{b}\)

We can now plug \(\frac{60}{b}\) in as a into \(2a+2b=32\).

\(2(\frac{60}{b}) + 2b = 32\)

Let's simplify this equation:

Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.

Hope this helped!

To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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Answer:x - 4

Step-by-step explanation:6x + 6 - 5x - 10 = x-4

Answer

1) In similar figures, the lengths of the corresponding sides are proportional.

This statement is always true.

2) When creating a similar figure. multiply the angle measure by the scale factor.

This statement is never true.

The angle measure of similar figures are usually just the same for corresponding edges.

Hope this Helps!!!

Answer:

238

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

The number of students should be invited to a party to make sure that ap least two of them have the same initials are equals to the 677 (students).

The solution of this problem is obtained by using the pigeonhole principle, which states if there are N boxes and N+1 pigeons, at least two pigeons must be in the same box. We have to determine the number of students invited in party to make make sure that at least two of them have the same initials. Now, first we figure out what N is to solve the problem. Here, box for this problem is labelled by first and last initials. If we are using the A-Z alphabet, then there are 26×26 = 676 possible sets of initials.

As soon as there are N+ 1 or 677 people, at least two must have the same first and last initials. Hence, required value is 677.

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Answer: $50.88, assuming they don’t pay tax, including Paris

Step-by-step explanation: 6.36 x 8 = 50.8k

Answer: $.50.88

Because each of her clasmates are gonna pay $6.36 each.

Answer:

check by cross multiplication

3*20 = 4*14

60 ≠ 56

no does not form a proportion

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

convert to 8/3÷10/9

that gives 8/3÷9/10

then we calculate 4 x 3/5

which = 12/5

Answer:

12/5 or  2 2/5

Step-by-step explanation:

Firstly, change the mixed form into an improper fraction.

8/3 ÷ 10/9

To find the answer, you have to multiply by the reciprocal of 10/9.

8/3 x 9/10

12/5

For given experiment, the probability of getting a multiple of 3 and 4 is 1/7

In this question we have been given an expreiment of rolling  two number cubes and multiply the numbers.

We need to find the probability of getting a multiple of 3 and 4

If two number cubes are rolled and multiply the numbers, the maximum output of multiplication would be 36

So, the sample space:

n(S) = 21

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

And the multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36

The number of outcomes for getting a multiple of 3 and 4 are:

12, 24, 36

n(A) = 3

so, the required probability would be,

p(A) = n(A)/n(S)

p(A) = 3/21

p(A) = 1/7

Therefore, the probability of getting a multiple of 3 and 4 = 1/7

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Answer:

25 miles per gallon

Step-by-step explanation:

hope that's what you were looking for

swipe the picture to the left ←

\( \mathfrak{WatanabeHaruto}\)

Answer:

14.7 because 10.5÷5=2.1

2.1×7=14.7

The quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.

Data in math is a collection of facts and figures that can be in any form numerical or non-numerical. Numerical data is the one you can calculate, and it is always collected in number form, such as scores of students in class, wages of workers in an organization or height of players on a football team, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Therefore, the quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.

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Answer:

C=107°

Step-by-step explanation:

3x-4+6x-7+x+1=180

10x-10=180

10x=190

x=19

C=6x-7

C=6(19)-7

C=114-7

C=107

There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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Therefore, in response to the given query, we can state that The two expressions expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The two phrases are interchangeable, yes.

To better understand why, let's use the distributive principle of multiplication over addition to expand the second expression as follows:

4(X+3) = 4X + 4(3) = 4X + 12

The two expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

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Answer:

B. 32

Step-by-step explanation:

5+3=8

8×4=32

// have a great day //

The answer to the question is C

Answer:

A: (-2.12, 0.5)

D: (2, 5.12)

E: (3.5, -4.12)

I'm going to assume that the three digit numbers have a decimal :))

Answer:

Continuous

Step-by-step explanation:

If its flowing over daily its continuous.

The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

I’m going to assume that your values are in the form of:

(r,θ,z)=(4,6π,2π/3)

where

(r,θ)are the polar coordinates of the point’s projection in the xy-plane

z is the usual z-coordinate in the Cartesian coordinate system

Now solving for Cartesian coordinates:

x=rcosθ=4cos(6π)=4(0.86)=3.44

y=rsinθ=4sin(6π)=2

Now for spherical transformation, note that:

(ρ,θ,ϕ)

ρ is the distance between P and the origin

θ is the same angle used to describe the location in cylindrical coordinates

ϕ is the angle formed by the positive z-axis and line segment from the origin and point in space, note that0≤ϕ≤π

OK, now that we have that out of the way, let’s compute:

ρ=r2+z2 = 5

θ=θ=6π

ϕ=arccos(zr2+z2−−−−−−√)=arccos(35)≈0.927rad

The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

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Answer:

y= 5x-7

Step-by-step explanation:

it wouldn't be the negative slopes because the line is ascending so we can cross out/eliminate B and D.

1. plug in the points into desmos

2. the slop goes up 5 and over 1, so we can know our answer is C

Answer: Its A

Step-by-step explanation:

The mathematical relation that connects the old mean (x_old) and the new mean (x_new) is x_new = x_old. This means that the old mean and the new mean are equal.

Let's denote the old mean as x_old and the new mean as x_new.

The total sum of scores is equal to the number of students (17) multiplied by the mean score. Therefore, we can write:

x_old * 17 = (sum of the old scores)

After adjusting the highest and lowest scores, the new sum of scores would be:

(x_old + 7 + x_old - 4 + sum of the other 15 scores)

The new sum of scores can be simplified as:

2x_old + 3 + (sum of the other 15 scores)

Since the number of students and the other 15 scores remain the same, the new sum of scores can also be written as:

x_new * 17

Therefore, we have:

x_new * 17 = 2x_old + 3 + (sum of the other 15 scores)

Since the sum of the other 15 scores remains the same, we can rewrite it as:

x_new * 17 = 2x_old + 3 + (sum of the other 15 scores) = x_old * 17

Simplifying the equation:

x_new * 17 = x_old * 17

Dividing both sides by 17:

x_new = x_old

Therefore, the mathematical relation that connects the old mean (x_old) and the new mean (x_new) is x_new = x_old. This means that the old mean and the new mean are equal.

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Answer:

9 recipientes

Step-by-step explanation:

Para empezar, tenemos que encontrar a cuánto equivalen 3/4 partes de 6 litros.

Para poder hacer esto, multiplicamos:

\((6)(\frac{3}{4})= \frac{18}{4} =\frac{9}{2}=4\frac{1}{2}\)

Por lo tanto, el garrafón tiene 4.5 litros de agua.

Ahora, vamos a dividir esta agua en recipientes de 0.5 litros, por lo tanto, vamos a hacer una división:

4.5 ÷ 0.5 = 9

Por lo tanto, se van a poder llenar 9 recipientes.

Answer:

a= 22.5

b= 37.5

Step-by-step explanation:

In △BCD:

Applying Pythagoras' Theorem,

a² +30²= b²

a² +900= b² -----(1)

In △ABC:

Applying Pythagoras' Theorem,

b² +50²= (40 +a)² -----(2)

Substitute (1) into (2):

a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)

a² +900 +2500= 1600 +80a +a²

a² +3400= a² +80a +1600 (simplify)

a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)

-80a +1800= 0

80a= 1800 (+80 on both sides)

a= 1800 ÷80

a= 22.5

Subst. a= 22.5 into (1):

22.5² +900= b²

b²= 506.25 +900

b²= 1406.25

b= √1406.25 (square root both sides)

b= 37.5 (reject negative value since b is a length)

☆(a +b)²= a² +2ab +b²