Please help asap!!!!
Below is a system of equations. Which method would you use to solve this? Why? Solve the problem, explaining each step.
x = y – 3
2x + y = 12

Answers

Answer 1

Answer:

(using substitution to solve the problem)

x=y-3

2x+y=12

2(y-3)+y=12

2y-6+y=12

3y=18

y=6

y=6

x=6-3

= (3, 6)

Step-by-step explanation:

using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.

i hope this helps :)


Related Questions

find the mean median and mode. 63, 40, 51, 70, 36, 21, 51, 28, 19

Answers

MODE: 51
MEAN: 42.1
MEDIAN: 40
RANGE: 70-19 = 51
(The range just in case you need it)

The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data is given below.

63, 40, 51, 70, 36, 21, 51, 28, 19

Arrange the data in ascending order, then we have

19, 21, 28, 36, 40, 51, 51, 63, 70

Then the mean of the data is given as,

Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9

Mean = 379 / 9

Mean = 42.11

The median of the data is the middle term of the data which is 40.

The mode is 51 because the number frequency of 51 is the highest.

More about the statistics link is given below.

https://brainly.com/question/10951564

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The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years

Answers

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

Sora was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41

How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.

Answers

Answer:

The outlier made the mean lower than all the other values.

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 =  114

Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9

the mean with the outlier is lower than any of the numbers

Answer:

C

Step-by-step explanation:

What is the probability that you will randomly land on a BLUE section?
Write your answer in a simplified fraction, using a "/" to separate the numerator and denominator.

Answers

Answer:

2/8. or simplified= 1/4

Step-by-step explanation:

u get brainlyist if quick
Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2

Answers

Answer:

A. 1

Step-by-step explanation:

just plug it in here

3y = 1 + 2

3y = 3

y = 1

A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos

Answers

Responder:

A) 1 ano

Explicação passo a passo:

Tempo máximo de tela = 3 horas / dia

Número de anos entre 11 e 18 anos = 8 anos

Vamos calcular o número de tempo de tela em um ano:

Número de dias em um ano = 365

Horas de uso em um ano:

3 horas / dia * 365 dias = 1.095 horas

Horas de uso em 8 anos:

1.095 horas * 8 = 8.760 horas

Convertendo o número de horas em anos:

Número de horas em um ano:

24 horas * 365 dias = 8760 horas por ano

Anos de tempo na tela:

Número de horas em 8 anos / número de horas em um ano

8760/8760 = 1 ano

Can someone summarize this for me please?

Answers

Answer:

0 is 16 1 is 13 2 is 17 that's it final answer

x -y = 3


solve for y


Answers

Answer:

y=x−3

Step-by-step explanation:

x−y=3

Step 1: Add -x to both sides.

x−y+−x=3+−x

−y=−x+3

Step 2: Divide both sides by -1.

−y/−1=−x+3/1

y=x−3

NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.

Answers

Answer:

Mean=

36/5=7.2

Median=8

Step-by-step explanation:

mean=add all the numbers/divide by how many

13+12+8+2+1=36

5 numbers altogether hence,

36/5=7.2

median=arrange all numbers and middle term is the median(for odd numbers only)

13,12,8,2,1

Hence,8 is the middle term

Hope this helped xx

When the sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14. Determine whether each step is a correct step for writing and solving this equation by selecting Yes or No. A Write the equation 3n + 4 + 6 = 2n – 14. Yes No B Write the equation 3(n + 4) + 6 = 2(n – 14). Yes No C Combine like terms. Yes No D Subtract 2n from each side. Yes No E Add 10 to each side. Yes No F Subtract 10 from each side. Yes No

Answers

Answer:

A. Yes

B. No

C. Yes

D. Yes

E. No

F. Yes

Step-by-step explanation:

A Write the equation 3n + 4 + 6 = 2n – 14. Yes

B Write the equation 3(n + 4) + 6 = 2(n – 14). No

C Combine like terms. Yes

D Subtract 2n from each side. Yes

E Add 10 to each side. No

F Subtract 10 from each side. Yes

Solution:

sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14

Let the number = n

{(3 * n) + 4} + 6 = (2 * n) - 14

3n + 4 + 6 = 2n - 14

3n + 10 = 2n - 14

3n + 10 - 2n = 2n - 14 - 2n

n + 10 = -14

Subtract 10 from each side

n + 10 - 10 = -14 - 10

n = -24

Answer: A. Yes B. No C.Yes D. Yes E. No F. Yes

Step-by-step explanation:

What is the measure of the smallest angle in the
diagram?
15°
299
32°
45°

Answers

Answer:

15

Step-by-step explanation:

it all comes down to 7x-1

then set that equal to 106 so it looks like 7x - 1 =106

106 - 1 = 105

105/7 = x

x = 15

good luck on your test

Answer:

Step-by-step explanation:

pls pls pls pls help me i will give brainlist pls pls pls pls pls pls



When creating a coordinate plane, which direction does the y-axis lay?

Group of answer choices


diagnol


none of the above


vetical


horizontal




Which sentence is true about quadrilaterals?

Group of answer choices


All squares are rectangles.


All rectangles are rhombi.


All rectangles are squares.


All rhombi are squares.



What kind of triangle has exactly 2 congruent sides?

Group of answer choices


right


isosceles


scalene


equilateral



What is the name of the quadrilateral that has 1 and only 1 set of parallel sides?

Group of answer choices


trapezoid


square


rectangle


rhombus



Which of the following describes a triangle?

Group of answer choices


only 1 pair of parallel sides


no pairs of parallel sides


3 parallel sides


2 parallel sides

Answers

Answer:

#1 ) Vertical

#2) All rhombi are squares

#3) Isosceles

#4) Trapezoid

#5) No pairs of parallel sides

Hope this helps! Mark me brainliest if I'm right :)

When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n

Answers

B. 12n - (6n+3) = 21
D. 4(n+6) - 3n = 28

Find tan(a) in the triangle.
Choose 1 answer:
A. 7/25
B. 24/25
C. 7/24
D. 24/7

Answers

Tan(a)= Toa

Toa =opposite/adjacent

Toa=7/25

final answer is 7/25

Answer: 24/7

this is the answer enjoy

Will the product of two numbers with opposite signs have a negative or positive answer?​

Answers

Answer:

The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.

Step-by-step explanation:

The price of an item has been reduced by 35%. The original price was $17.

Find the price now

Answers

17 - (35/100x17)
Then just solve the equation
Hope it does help

Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle?

Answers

Answer:

The answer is 25

Step-by-step explanation:

Answer:

The third piece of wood that for denesh need to create to form a right triangle is: 25 feet.

Step-by-step explanation:

We are given two shorter legs of a wood of lengths as: 7 feet and 24 feet. We know that in a right angled triangle with two shorter sides as a and b the longer length or the hypotenuse of the triangle of length c is given by Pythagorean Theorem as: We have: a=7 and b=24 Hence,

what is the y intercept of . y = ½x -5

Answers

Answer: (0, 10) or 10

Step-by-step explanation:

plug 0 into y

(0) = 1/2x - 5

1/2x - 5 = 0

      + 5 + 5

1/2x = 5

* 2    * 2

x = 10

help help help help ill like five y’all brian list or something just pls help

Answers

Hi can someone help me for correcting my text

Answer: 0.086x

Step-by-step explanation:

Since the trend line starts at the origin, there is no y-intercept. To calculate the slope, divide the change in y over change in x. Since one of our points is the origin, we can just divide the y value by the x value, or 1.38 by 16, to get 0.08625. Rounded to the nearest thousandth, we get a slope of 0.086.

Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point

Answers

Answer:

I cant remember this

Step-by-step explanation:

i cant remember

Answer:

Hello! answer: 45, 20, 15, 11, 36, 8, and 5

Step-by-step explanation:

Data set I created: 45, 20, 15, 11, 36, 8, and 5

It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps

asap! please help i’ll give brainliest

Answers

well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.

Hope that helped pls give brainlist

Solve the equation: 7(x + 8) = 49​

Answers

Answer:

-1

Step-by-step explanation:

1.)Reorder the terms:

7(8 + x) = 49

(8 * 7 + x * 7) = 49

(56 + 7x) = 49

2.)Solving

56 + 7x = 49

3.)Solving for variable 'x'.

4.)Move all terms containing x to the left, all other terms to the right.

5.)Add '-56' to each side of the equation.

56 + -56 + 7x = 49 + -56

6.)Combine like terms: 56 + -56 = 0

0 + 7x = 49 + -56

7x = 49 + -56

7.)Combine like terms: 49 + -56 = -7

7x = -7

8.)Divide each side by '7'.

x = -1

9.)Simplifying

x = -1

Hope this helps

plz like and brainy

A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturers records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?


a: 40


b: 120


C: 192


D: 200

Answers

Answer:

D: 200

Step-by-step explanation:

Given that

The DVD player shipped 960 players last month

There is a record that out of every 24 players, the 5 would be the repaired

So we need to find the number of DVD players were repaired in this 960 players

So

= 960 × 5 ÷ 24

= 200 players

Hence, the option is d.

A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44

Answers

The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.

Answer:

Kindly check explanation

Step-by-step explanation:

The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.

In the scenario above, the median = 29

The upper quartile = 38

14523 round to nearest 10



Answers

Answer:

14520

Step-by-step explanation:

14520................

This scatter plot shows the relationship between the average weight and average heart rate for 11 different animals. The line of best fit is shown on the graph. Select True or False for each statement based on the graph.

Answers

Answer:

See below

Step-by-step explanation:

1) I would lean more toward false because most of the points aren't in a straight line

2) That is most likely true because the line of best fits appears to be hitting that point

3) That is false because point D is located on the line of best fit which means it isn't an outlier

Find the area of a circle with a circumference of 31.4 units

Answers

Answer:

Step-by-step explanation:

hope it helps you

Are the vectors u1→=<2,3>and u2→=<-3,-2>parallel? Show your work and explain.

Answers

Answer:

Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.

Step-by-step explanation:

The requried given vectors are not parallel. As their dot product is not zero.

What is a vector?

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.

Let k be the scalar multiple such that:

u₁ = k u₂

Substituting the given values of u₁ and u₂, we get:

<2, 3> = k <-3, -2>

Multiplying both sides by -1, we get:

<-2, -3> = k <3, 2>

Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.

We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:

u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12

Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.

Learn more about vectors here,
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What expression is equivalent to -2 (5x - 4) + 13x

Answers

What expression is equivalent to -2 (5x - 4) + 13x

=3x+8

Round to nearest tenth pls

Answers

Answer:

28.9

Step-by-step explanation:

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