I WILL MARK BRAINLIEST !A line has a slope of 3 and includes the points (7,1) and (4,q). What is the value of q?​

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Answer:

B

..................

wide 20 feet

long 40 feet

perimeter = 2w + 2l

answer: Perimeter is 120 feet

Answer:the X factor is 7

Step-by-step explanation:

Answer:

n = 14

Step-by-step explanation:

When you are multiplying exponents with the same base, you add them.

11 + 3 = 14.

Therefore, n = 14

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

Step-by-step explanation:

4/4

8/6

4/6

Answer:

18 ft.

Step-by-step explanation:

Step-by-step explanation:

We'll find the distance using the all-famous "Distance Formula." You'll probably come across it quite a bit, so it's best to have it written down somewhere.

The Distance Formula: \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

Our points are (8, -3) and (4, -7), so we'll plug in those numbers accordingly.

For reference:

x2 = 4

x1 = 8

y2 = -7

y1 = -3

The calculation:

(substitute)

\(\sqrt{(4-8)^2+((-7)-(-3))^2 }\)

(simplify)

\(\sqrt{(-4)^2+(-4)^2 }\)

(square things)

\(\sqrt{16+16 }\)

(add)

\(\sqrt{32}\)

Answer:

\(\sqrt{32}\)

Answer:

\(\boxed {\boxed {\sf C. \sqrt{32}}}\)

Step-by-step explanation:

The distance between 2 points can be determined with the following formula.

\(d= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2\)

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. We want to find the distance between the points (8, -3) and (4, -7). If we match the value with its corresponding variable, then we see:

Substitute the values into the formula.

\(d= \sqrt{(4-8)^2+(-7--3)^2\)

Solve inside the parentheses.

\(d= \sqrt {(-4)^2+(-4)^2\)

Solve the exponents.

\(d= \sqrt {16+16\)

Add.

\(d= \sqrt {32}\)

This radical can be simplified, but since it is an answer choice, we can leave it as is.

The distance between the points (8, -3) and (4, -7) is √32 and choice C is correct.

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

Learn more about Research Tool at:

https://brainly.com/question/28982692

#SPJ1

Answer:

26 miles per gallon

Step-by-step explanation:

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

Answer:

0.2587 = 25.87% probability you will roll a purple on your next toss of the die.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, which is the case in this question, the number of outcomes is taken from previous experiments.

In this question:

44 + 37 + 41 + 21 = 143 tosses.

37 purple.

What is the probability you will roll a purple on your next toss of the die?

\(p = \frac{37}{143} = 0.2587\)

0.2587 = 25.87% probability you will roll a purple on your next toss of the die.

The most appropriate choice for distributive property will be given by -

36515 is the required answer

What is distributive property?

Distributive property is the property  of integers which connects both addition and multiplication

Let a, b, c be three integers. Distributive property states that

\(a \times (b + c) = a\times b +a\times c\)

Here,

\(5 \times 7303\\5 \times (7000 + 303)\\5 \times 7000 + 5 \times 303\\35000 + 1515\\ 36515\)

To learn more about distributive property, refer to the link-

https://brainly.com/question/2807928

#SPJ13

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

-0.993

Step-by-step explanation:

ADD 3 and DIVIDE by -2 to get the natural log expression by itself on the left.

Then convert to an exponential equation. Ln means that the base is e (e is a special number,but in fact, just a number)

e^(-5) -1 can be calculated on a calculator. There is usually an e^x button, then enter -5 exponent. Lastly subtract one.

x = -0.993

See image

Answer:

the fourth one

Step-by-step explanation:

Answer: y= x/2 - 5

Step-by-step explanation: the first is not linear the second is not linear the third is not linear the forth one IS linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  

0

or  

1

for each of its variables.

Answer:

66 student tickets and 84 adult tickets

Step-by-step explanation:

Write a system of equations. When writing the equation, group together amounts that have the same labels. You can only use the amounts in one equation and not both. I am going to use x to represent student tickets and y to represent adult tickets.

\(x + y = 150\\3x + 7y = 786\)

I am going to use elimination to solve. To do this, I am going to eliminate the x variable first. I am going to multiply the first equation by -3.  I am doing this so the x's have the exact same number, but one of them is negative and one is positive, so when they are added they will equal zero.

\(-3(x+y = 150)\\-3x-3y=-450\)

Your two new equations.

\(-3x-3y=-450\\3x+7y=786\)

Now add and solve for y.

\(4y = 336\\4y/4=336/4\\y = 84\)

Now solve for x. I am going to use the first equation and substitute 84 for y.

\(x+y=150\\x+84=150\\x+84-84=150-84\\x=66\)

Answer:

Step-by-step explanation:

Let x represent the number of higher-value (adult) tickets. Then 150-x is the number of student tickets. The total income from sales was ...

  7x +3(150-x) = 786

  4x = 336 . . . . . . . . . simplify, subtract 450

  x = 84 . . . . . . . . divide by 4; number of adult tickets sold

  150-x = 66 . . . . number of student tickets sold

66 students and 84 adults bought tickets.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

8.6 or 9

Step-by-step explanation:

2 3 4 6 7 8 9 9 9 10 13 15 18

\(2 + 3 + 4 + 6 + 7 + 8 + 9 + 9 + 9 + 10 + 13 + 15 + 18 = 113 \\ 113 \div 13 = 8.6\)

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively

The amplitude is half the full height of the periodic function. That is:

Amplitude = (maximum - minimum)/2

Check the image attached, the maximum and minimum are labeled max and min respectively

Amplitude = (-1 - (-7))/2  = 6/2 = 3 units

The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph

Midline = (maximum + minimum)/2

Midline = (-1 + (-7))/2 = -8/2 = -4 units

The period is the distance between two peaks or (maximums) on the graph.

Period = 1-(-4) = 5 units

Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively

Learn more about period function on:

https://brainly.com/question/23427826

#SPJ1

Answer:

y=1/2x+11

Step-by-step explanation:

use the slope of one half and the point and put them into point slope form.

y-y1 = m(x-x1) or y-16 = 1/2(x-10), distribute 1/2

y-16=1/2x - 5, add 16 to both sides

y = 1/2x + 11

The expected number of pairs of people who are standing next to each other in line and in the same group is ( 2n ) ! / 2^n * n! .

Given :

stand by me [14 points] what is the expected number of pairs of people who are standing next to each other in line and in the same group .

we know that ,

Number of pairs is determined by using the concept combinations of binomial distribution .

= ( 2n ) ! / 2^n * n !

here we represent * has . for multiplication to reduce the complexity .

= ( 2n ) ! / 2^n . n!

Learn more about the number here:

https://brainly.com/question/17429689

#SPJ4

Answer:

x/2 = 1/2x

Step-by-step explanation:

# of paintbrushes/ 2 piles = 1/2 # of paintbrushes

Answer:

x/2

Step-by-step explanation:

Since Lucy is taking the paintbrushes, x, and splitting them into 2 equally sized groups we can assume that this IS 1/2 the size of the original group.

We can show this claim by simply doing this equation: x/2, since she is splitting them into 2 groups that are equally sized, we are just dividing x by two.

Considering the figure the value of angle b is

According to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.

hence angle a = angle y

Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

angle b = angle a + 90

= 34 + 90

= 124 degrees

Learn more about angles at

https://brainly.com/question/25770607

#SPJ1

Answer:

$585/month

Step-by-step explanation:

To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.

Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:

$20/hour x 40 hours/week = $800/week

To find his monthly income, we multiply his weekly income by the number of weeks in a month:

$800/week x 4 weeks/month = $3,200/month

To find his monthly expenses, we add up the amounts for his household and automobile expenses:

$1,410/month (household) + $405/month (automobile) = $1,815/month

Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:

$3,200/month x 0.25 = $800/month (taxes)

Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:

$3,200/month - $1,815/month - $800/month = $585/month

Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.

Im diying:(

dont be mean man

Answer:

0.9830 = 98.30%

Step-by-step explanation: