What is the distance between P(−4, 3) and Q(6, 1)? Round to the nearest tenth.

The system of equations involving y = 2x + 1 and y = 3x has the solution written as an ordered pair (1 , 3).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

y = 2x + 1     (equation 1)

y = 3x     (equation 2)

Since both equations are in the form of y in terms of x and some constant, substitute the second equation to the first equation.

y = 2x + 1     (equation 1)

3x = 2x + 1

Combining the all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

3x - 2x = 1

x = 1

Substituting the value of x in the second equation,

y = 3x     (equation 2)

y = 3(1)

y = 3

Writing it as an ordered pair, we got (1 , 3) as the solution of the system of equations involving y = 2x + 1 and y = 3x.

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Answer:

$36

Step-by-step explanation:

$6.00+$24.00+$6.00

Answer:64

Step-by-step explanation:33+116=149

180-149=31

31+33=64

Answer:

go ask ur maths teacher duh it will be more easy

The cost of ten pack of stylus pen is $(50/3).

This problem can be solved by unitary method and can be understood by the following process.

In this method we have to determine the cost of a unit of product and then the total amount by multiplying the unit cost by the desired quantity what we want.

Here, it is given that three packs of stylus pen costs $5.

Cost of one pack of stylus pen = $ 5/3

Therefore cost of 10 packs of stylus pen = $(5/3)*10

                                                                    = $(50/3)

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Answer:

The water required to pump all the water to a platform 2 feet above the top of the pool is  is 6061310.32 foot-pound.

Step-by-step explanation:

Answer:6x+21

Step-by-step explanation:

hope this helps

if 10 customers show up between 9:00 am and 10:00 am and 25 customers show up between 10:00 am and 11:00 am, then there is a variability in customer Arrivals.

The term "variability" (also known as "spread" or "dispersion") describes how dispersed a set of data is. You may use statistics to compare your data to other sets of data by using the term "variability" to indicate how much the data sets differ from one another.

In a data collection, there are four major approaches to describe variability:

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The simplified forms of the given expressions are

From the question, we are to evaluate the given radical expressions

The given radical expressions are

[tex]\sqrt{40+9}[/tex]

and

[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

Evaluating [tex]\sqrt{40+9}[/tex]

[tex]\sqrt{40+9}[/tex]

= [tex]\sqrt{49}[/tex]

= 7

Evaluating [tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

= [tex]\frac{\sqrt[3]{128} }{2}[/tex]

= [tex]\frac{\sqrt[3]{64 \times 2} }{2}[/tex]

= [tex]\frac{\sqrt[3]{64 } \times \sqrt[3]{2} }{2}[/tex]

= [tex]\frac{4\times \sqrt[3]{2} }{2}[/tex]

= [tex]\frac{4 }{2} \times \sqrt[3]{2}[/tex]

= [tex]2\times \sqrt[3]{2}[/tex]

= [tex]2\sqrt[3]{2}[/tex]

Hence, the simplified forms of the given expressions are

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Answer:

.

Step-by-step explanation:

Answer: Our required equation would be

Step-by-step explanation:

Since we have given that

y=30, when x = 6.

As there is direct proportion between x and y.

so, it becomes,

So, the equation connecting y and x would be

When we put the value of k, we get that

Hence, our required equation would be y=5x

The GCF of [tex]12w^{2} - 4w^{3}[/tex] is [tex]4w^{2}[/tex].

The Greatest Common Factor (GCF) of two or more numbers is defined as the factors which is common and highest .

For Example The GCF of 6 and 8

express 6=2*3

             8=2*2*2.    since 2 is common in both the GCF is 2.

In the given question

we need to factor out gcf from [tex]12w^{2} - 4w^{3}[/tex]

first express both terms in prime factors

[tex]12w^{2} =3*4*w*w[/tex]

and

[tex]4w^{3} =4*w*w*w[/tex]

the equation becomes

[tex](3*4*w*w-4*w*w*w)[/tex]

we can see that [tex]4*w*w[/tex] is common in both the terms .

So we can write [tex]4w^{2} (3-w)[/tex]

Therefore [tex]4w^{2}[/tex] is the gcf by factoring of [tex]12w^{2} - 4w^{3}[/tex].

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An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable. If f(x)=7/3x -9 then f(-3) is -88/9.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given function is

f(x)=7/3x -9

where x=-3.

Subtract x=-3 in the above function.

f(-3)=7/3(-3) - 9

f(-3)=7/-9 - 9

f(-3)=-7/9-9

f(-3)=(-7-81)/9

f(-3)=-88/9

Therefore f(-3) is -88/9.

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The ratio of boys to girls in Simplest form is [tex]\frac{7}{8}[/tex] or 7:8  .

Ratio is defined as the term that is used to compare two or more numbers.

It is denoted by a:b  and ":" is read as "is  to" .

For Example , In a mixture of 10liter there 9 liter of milk and 1 liter of water ,

So the ratio of milk to water in the mixture will be 9:1 or [tex]\frac{9}{1}[/tex].

In the given question

Total members = 30

Number of Boys =14

Number of Girls = 30-14=16

The ratio of boys to girls =[tex]\frac{14}{16} =\frac{7}{8}[/tex]  or 7:8 .

Therefore , the ratio of boys to girls in simplest form is 7:8.

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The number of the 1(3/4) inch blocks will be 34 out of the 5 feet of stock.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of the stock. The number of the blocks will be calculated as below:-

Number = 5 foot / ( 1(3/4)

Number = 60 / ( 7/4)

Number = 34.2

Therefore, the number of the 1(3/4) inch blocks will be 34.

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Answer: y = 7x

Step-by-step explanation:

11x + y = 18x

-11x        -11x

       y =   7x

The resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)

The triangle is a shape that has three sides and angles. Given the coordinate points of the triangle given as:

A(-2, 3)

B (-2, 5)

C (-4, 5)

If the coordinate points is translated by the vector (2, -7), hence the resulting coordinate points will be:

A' = (2+2, 3-7) = (4, -4)

B' = (-2+2, 5-7) = (0, -2)

C' = (-4-2, 5-7) = (-6,-2)

Hence the resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)

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If the students that stated they would be going to Camp Redwood, 20 percentage did not go to camp and the students that stated they would be going to Camp Kern, 15 percentage  did not go to camp, then 51 more students went to camp kern than camp redwood

The total number of students in Camp redwood =170

Number of students who didn't  attend the camp redwood = 170×(20/100)

=34 students

Number of students who went to camp redwood =170-34

=136  students

Total number of students in Kern camp = 220

Number of students who didn't  attend the camp Kern=220×(15/100)

=33 students

Number of students who went to camp kern =220-33

=187 students

How many more students went camp Kern than Camp Redwood= 187-136

=51

Hence, 51 more students went to camp kern than camp redwood

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Answer: 0.08333333333

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

n=number

8*n=120

n=120/8

n=15

The expression when Bryar gathered 10 eggs from the chickens is 10 - x = 0.

Let the eggs that are broken be represented by x.

Therefore, from the information, Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken.

Therefore, the expression will be:

10 - x = 0

This illustrates that there are zero left.

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The percent of population in the situation is 20 %.

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’.  In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

We have to find the percentage of population 90 out of a population of 450 people represents.

We know that, the formula for percentage will be:-

(Given people/ Total people)*100

Here,

Given people = 90

Total people = 450

Hence, the percentage will be :-

= (90/450)*100 = (1/5)*100 = 20 % .

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Answer:

200 children and 300 adults

Step-by-step explanation:

No. of children = c

No. of adults = a

EQUATION 1:    a + c = 500

EQUATION 2 :  23c + 47a = 18700

a = 500 - c

23c + 47(500 - c) = 18700

23c + 23500 - 47c = 18700

-24c = 18700 - 23500

-24c = -4800

-4800/-24 = c

c = 200

a = 500 - 200

a = 300

Answer: $67.28

Step-by-step explanation:

Correlation or co variation  a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) .

What is general deterrence?

In contrast to "specific" deterrence, which refers to the effects of legal punishment on those who actually receive them, "general" deterrence refers to the consequences of legal punishment on the broader population (possible offenders).

How do you explain correlation?

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The complete question is -

--------------- a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) ?

For any given point, the transformation that occurs is

Transformations are mathematical operations that are performed on a function or object to change is shape or orientation or value.

The types of transformations that can be performed on an object or function include

Given the transformation rule (x,y) --> (x - 4, y + 8), we see that both the x and y coordinated are shifted or translated.

So, for any given point, the transformation that occurs is

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