Rewrite the equation below so that it does not have fractions.
2/3x+4=2/5
do not use decimals in your answer.

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

To learn more about the scattered plot visit:

https://brainly.com/question/2655543.

#SPJ4

Answer:

0.84

4.48

5.32

Step-by-step explanation:

We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.

An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.

[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]

[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]

Therefore the solution of the equation is x=1 and x=10.

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ1

1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. The slope is: B. 0.

The formula for finding the slope of a line is:

Slope (m) = change in y/change in x

1. To find the two points that has a slope of 2/3, calculate the slope of each of them:

Slope for A = (0 - 0)/(3 - 2) = 0

Slope for B = (-4 - 2)/(3 - 1) = -3

Slope for C = (3 - 0)/(2 - 0) = 3/2

Slope for D = (4 - 2)/(0 -(-3)) = 2/3

Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)

Slope (m) = 0/-9

Slope (m) = 0

The slope is: B. 0.

Learn more about the slope on:

https://brainly.com/question/13861479

#SPJ1

The unit rate is 30 miles per gallon

The number of miles travelled is 360 miles

The number of gallons is 12 gallons

Therefore the unit rate can be calculated as follows

Unit rate= 360/12

= 30

Hence the unit rate is 30 miles per gallon

Read more here

https://brainly.com/question/2309498?referrer=searchResults

#SPJ1

The value of algebraic expression for given is (x + 1)(x - 1)

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A group of phrases containing letters and numbers that are joined using addition (+), subtraction (-), multiplication (*), and division (**) are known as algebraic expressions.

Let the number be x

Expression for given statement will be -

(x + 1)(x - 1)

To learn more about algebraic expressions from given link

https://brainly.com/question/24875240

#SPJ9

The equation of the line is y = -7.5x - 2.5

The given parameters are

y-intercept = -5/2

x-intercept = -1/3

A linear equation is represented s

y = mx + c

Where

c = y-intercept = -5/2

So, we have:

y = mx - 5/2

The equation x-intercept = -1/3 means that

y = 0 and x = -1/3

So, we have

0 = -1/3m - 5/2

This gives

1/3m = -5/2

Evaluate

m = -15/2

Substitute m = -15/2 in y = mx - 5/2

y = -15/2x - 5/2

Rewrite as

y = -7.5x - 2.5

Hence, the equation of the line is y = -7.5x - 2.5

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

Answer:

Top to bottom

1

30

9

45

Step-by-step explanation:

Answer:

He will pay $1,050 interest

Step-by-step explanation:

5% interest is paid every year for 3 years

5% * 3(years) = 15%

7000 * 15% = $1,050

$1,050

Given [tex]-6x-20[/tex]

Proof that it is equal to the [tex]-2x + 4(1 - 3x)[/tex] or not

[tex]-2x + 4(1 - 3x)[/tex]

Distribute

[tex]-2x+ 4-12x[/tex]

[tex]4-14x[/tex]

Not equal to the [tex]-6x-20[/tex] [tex]\neq[/tex] [tex]4-14x[/tex]

So, it is false

What is Distribute in math?

To "distribute" anything is to divide it up or to give someone a piece of it.

What does the mathematical distributive property mean then?

The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an expression of the type A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.

This characteristic also holds for subtraction.

A(B-C) = AB-AC

This demonstrates that the other two operands share operand A.

Learn more about Distribute https://brainly.com/question/28060657

#SPJ9

The width and length of the field are 160ft and 200ft respectively

When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly

Let the width of the football field be 'x' ft.

then according to given data,

length= 200 ft more than width= (x+200)ft

According to given,

Perimeter of the given field =2L+2W=1040

where L is length and W is the width

Now putting the values of length and width earlier derived, we get:

2(x)+2(x+200) =1040

2x+2x+400=1040

4x+400=1040

4x=1040-400

4x=640

x=160ft

Now, the width of the field= x=160ft

length of the field= x+200=160+200=360ft

Hence the length and the width of the field are 160ft and 360ft

For more information on perimeter of rectangle, refer:

https://brainly.com/question/22148953?referrer=searchResults

#SPJ9

Answer:

x = 64

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.

Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.

Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.

4 people can go to the amusement park.

Let the number of people that can go to amusement park be x.

The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.  

Forming equation as per the given information in question -

11.25 + 35.75 × x = 154.25

Solving the equation as per the operators -

Shifting 11.25 to Right Hand Side of the equation

35.75x = 154.25 - 11.25

Performing subtraction on Right Hand Side of the equation

35.75x =  143

Shifting 35.75 to Right Hand Side of the equation

x = 143 ÷ 35.75

Performing division on Right Hand Side of the equation

x = 4

Therefore, 4 people can go to the amusement park.

Learn more about forming and solving equation -

https://brainly.com/question/24560327

#SPJ4

Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:12

Answer:

2/3

Step-by-step explanation:

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

Read more about angles at

brainly.com/question/7620723

#SPJ1

Answer:

So bassiccalyy the answer is 3344/3 because it is not equivalent to 4

The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

[tex]d = \frac{a^{3} }{cb^{2} }[/tex]

[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]

[tex]d = \frac{3.7}{80}[/tex]

[tex]d = 0.0462[/tex]

Hence, The value of the quantity d is 0.0462 m^2/s.

Learn more about the quantities visit:

https://brainly.com/question/809966

#SPJ4

Answer: 5.2

Step-by-step explanation:

If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.

Hope this helps!

Answer:

4, 7

Step-by-step explanation:

x = y + 3

y² + 12 = 4x

using the first equation in the second

y² + 12 = 4(y + 3) = 4y + 12

y² = 4y

y = 4

x = y + 3 = 4 + 3 = 7

Answer:

118

Step-by-step explanation:

The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.

The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:

A-13 = 15x OR 15x + 13 = A

Where 'x' represents a whole number showing that the number is divisible by 15.

The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).

A is one of these numbers + 13, let's see which ones are closest:

105+13 = 118, 120+13 = 133, 135+13 = 148

118 is very close to 120, so let's check it with the other numbers:

118/4 = 29 r 2

118/6 = 19 r 4

The exact number of fruits is 118.

Hope this helped!

Answer:

118

Step-by-step explanation:

We are told that there are about 120 fruits.

Fruits divided equally among 4 students

Multiples of 4:  4, 8, 12, ... 112, 116, 120, 124, ...

Therefore, 116, 120 and 124 are closest to 120.

Add the given remainder of 2 to these numbers:

Fruits divided equally among 6 students

Multiples of 6:  6, 12, 18, ... 108, 114, 120, 126 ...

Therefore, 114, 120 and 126 are closest to 120.

Add the given remainder of 4 to these numbers:

Fruits divided equally among 15 students

Multiples of 15:  15, 30, 45, ... 105, 120, 135, ...

Therefore, 105, 120 and 135 are closest to 120.

Add the given remainder of 13 to these numbers:

Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.

Check

Divide 118 by each group of students:

As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.

Answer:

Perimeter=16cm

Area=16cm

Step-by-step explanation:

we know that all 4 sides of square are equal. So,

Length of 4 sides of square= 16cm

Length of 1 side of square= 16/4cm=4cm

Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:

Perimeter= 4 times the length of square

or,Perimeter= 4*4

Therefore,Perimeter=16 cm

Now,

Area=square of length of side

or,Area=4^2

Therefore, Area=16 cm

All values of y in the simplest form are 3 and -3

The equation is given as

21 = |7y|

The above equation is an absolute value equation

When the above equation is expanded, we have the following equations

So, we have

-21 = 7y and 21 = 7y

Divide both sides of the equations by 7

So, we have

-3 = y and 3 = y

Rewrite as

So, we have

y = -3 and y = 3

Hence, all values of y in the simplest form are 3 and -3

Read more about absolute value equation at

https://brainly.com/question/17795998

#SPJ1