Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is​

Answers

Answer 1

Answer:

x = -18, y = 14

Step-by-step explanation:

4x + 6y = 12

x + 2y = 10

Divide both sides of the first equation by 2. Write the second equation below it.

2x + 3y = 6

x + 2y = 10

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.

      2x + 3y = 6

(+)  -2x - 4y = -20

-------------------------

             -y = -14

y = 14

Substitute 14 for y in the second equation and solve for x.

x + 2y = 10

x + 2(14) = 10

x + 28 = 10

x = -18

Solution: x = -18, y = 14


Related Questions

Write an expressions that is equivalent to 6c-2/2 +2c+11 in simplest form

Answers

Answer:

8c + 10

Step-by-step explanation:

Divide 2/2:

6c - 1 + 2c + 11

Then Collect Like Terms:

6c + 2c = 8c

-1 + 11 = 10

Final: 8c + 10

I need help with this

Answers

Answer:

B

Step-by-step explanation:

it takes 70 inches of ribbon around a box. the bow takes 32 inches of ribbon the width of the box is 14 inches. what is the height of the box

Answers

5 inches, please brainliest!




Jessica, I assume the question is asking how long the box is?

In this case, the ribbon needed to tie the bow is not needed, so you are going to subtract that from the total (70-32=38). That means the box perimeter (in two dimensions).

w=14
l=?

Perimeter=2w+2l
38=2(14)+2l
38-28=2l
10=2l
5=l

The box is 5 inches long.

You can verify this by 2w+2l+bow=total. 2(14)+2(5)+32=70... 28+10+32=70... 70=70


Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition of transformations?

Answers

Answer:

C) 180 degree rotation

Step-by-step explanation:

I hope this helps you :)

Jasmine drives every morning to her office that is 12 miles from her home.
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation.


part b question isJasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office?

Answers

Answer:

looma

Step-by-step explanation:

Levi bought 14 chicken wings for $22.40 how much would it cost for 12 wings

Answers

Answer:

x =19.20

Step-by-step explanation:

We can use ratios to solve

14 wings      12 wings

------------- = ---------------

22.40          x

Using cross products

14x = 22.40 * 12

14x =268.8

Divide each side by 14

14x/14 = 268.8/14

x =19.20

Which number line can be used to find the distance between (4, –1) and (8, –1)

Answers

Answer:

The distance between the two points is 4

Step-by-step explanation:

(8, -1) - (4, -1) is 4, so I’d say the answer is four.

Answer:

4

Step-by-step explanation:

PLEASE HELP .. At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?

Answers

I’m thinking 16, but I don’t want to give you the wrong answer..

I need help with #8. I need to use the quadratic formula. I have a calculator that is programmed for the quadratic formula so all I need are the a, b, and c values. for this problem, I am required to show any equations used to solve for the variable. hope you can help me, thanks!!​

Answers

Answer:

  x = 14

Step-by-step explanation:

Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.

The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:

  138 = (376 -23x) +(x^2 -8x)

Subtracting 138 and collecting terms we have ...

  x^2 -31x +238 = 0

For your calculator, a=1, b=-31, c=238.

__

Additional comment

You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.

For x=14, the marked angles are A = 84°, C = 54°.

The measures of ∠x and ∠y are equal. X is 3(m+2) and Y is 5m-58. Which is the value of m? A m=8 B m=26 C m=30 D m=32

Answers

Answer with step-by-step explanation:

M = 32

Step 1: Simplify both sides of the equation.

3(m+2)=5m−58

(3)(m)+(3)(2)=5m+−58(Distribute)

3m+6=5m+−58

3m+6=5m−58

Step 2: Subtract 5m from both sides.

3m+6−5m=5m−58−5m

−2m+6=−58

Step 3: Subtract 6 from both sides.

−2m+6−6=−58−6

−2m=−64

Step 4: Divide both sides by -2.

−2m/−2=−64/−2

m=32

Hope this helped! (brainliest please)

Let
f(x) = {3x - 7}/{x + 1] Find the range of f.

Give your answer as an interval.

Answers

Answer: Range = (-∞, 3) U (3, ∞)

Step-by-step explanation:

The range is the set of all y-values in a function. The easiest and most straightforward way to find the range is to graph the function and find asymptotes, or locations on the graph where the function lacks y-values.

You can plug in a few points to the equation, as shown in this table below.

After you have your points, you can draw your function following the points, as shown in the next image. Notice the line at y = 3, where the function does not cross. Although it will get infinitely close to the line, the function will never meet or cross this point at any x-value. This is what is known as a "horizontal asymptote", and is not included in the range of the function.

We can represent this asymptote in a range, which is a representation of all possible y-values in the function. The possible y-values for this function start at negative infinity and end at infinity, but do not exist at y = 3, so we represent this through this mathematical expression:

Range = (-∞, 3) U (3, ∞)

Please help , Ill give you brainliest​

Answers

Answer:

I think the answer is A from what I remember.

Step-by-step explanation:

the polynomial should be put in order based on the number in its power. it could not be added or subtracted if the power is not the same.

A 2-quart carton of orange juice costs $7.28. What is the price per cup?
What is the the price per cup

Answers

Answer:

.95 per cup

Step-by-step explanation:

There are 4 cups per quart.

But this is 2 quarts so we are using 8.

divide 7.28/8  is .9475

Solve the equation for x. 7- x= 12

Answers

12 is the correct answer
x= 5 because you do the opposite of add 7 to both sides which is subtract 7 and take away the 7 because it’s zero and 12-7 which is 5 so x=5

Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Answers

Answer:

             10, 12 and 14

Step-by-step explanation:

x  - an integer

2x    - an even integer (the first and the smaller of the three)

Consecutive integers increase always by 2

2x+2    - next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4    - the last consecutive even integer (the largest)

2•(2x+2)     -  twice the middle number

2x+2•(2x+2)  - the sum of the smallest number and twice the middle one

2x+4+20     -  20 more than the largest number

2x+2•(2x+2) = 2x+4+20

2x + 4x + 4 = 2x + 24

         -2x         -2x

       4x + 4  = 24

         ÷2          ÷2

       2x + 2 = 12            ← the middle number

           -2        -2

        2x = 10                  ← the smallest number

2x+4 = 10 + 4 = 14

Check:  10+2•12=34;   14+20=34

help me please with geometry . I really need help or I won't graduate ​

Answers

PERIMETER IS ADDING ALL SIDES, AREA IS MULTIPLYING TWO SIDES

1. 2 1/9

2. 42.25

3. 4

4. 87

Answer:

perimeter is adding up all the outside line measures, so for the squares with only one side value, just multiply that by four

the other ones, for the measure given for one side, the opposite side is the same measure, so just add that up.  

so number one would be 9 and 1/3 (nine and one third)

Step-by-step explanation:

1. Point M is on PQ, PM has a length of 7 units, and point N is the midpoint of MQ. If the length of NQ
is 4 units, how long is PQ?
PA
A 3 units
B. 11 units
C. 15 units
D. 18 units

Answers

Answer:

C. 15 units

Step-by-step explanation:

PM = 7 units

p..............M..........N............Q

   7 unit                     4 unit

NQ = 4 units

Given that

N is midpoint of MQ

it means N divides MQ into two equal parts

thus

MN = NQ = 4 units

now

we have to find length of PQ

p..............M..........N............Q

   7 unit     4 units     4 unit

PQ = PM + MN + NQ

PQ = 7 units + 4 units + 4 units = 15 units

thus, correct answer is option c 15 units

Answer:

15 units

Step-by-step explanation:

14% of 81 is what number?

Answers

11.34







That’s the answer

Answer:

11.34

Step-by-step explanation:

14% of 81 = [tex]\frac{14}{100}[/tex] × [tex]\frac{81}{1}[/tex]  [tex]\frac{14}{100}[/tex] × [tex]\frac{81}{1} = \frac{1134}{100}[/tex]  1134/100 = 11.34

I hope this helps!

A dozen donuts cost $24. How much does one donut cost?

Answers

24 divided by 12 equals 2

Answer:

Each donut will cost $2.

Step-by-step explanation:

A dozen of donuts = 12 donuts

$24 ÷ 12 = $2

HELP ME PLEADE I NEEDDDD HELPP

Answers

Step-by-step explanation:

I hope this helps, happy learning!!

True or False? In reference to different sampling methods, systematic sampling includes the steps: list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected.

Answers

Answer:

True

Step-by-step explanation:

In the simple random sampling every individual in the population has an equal chance to be selected in the sample. Systematic sampling is a probability sampling in which selection of elements is made from order frame. These samples are selected based on intervals of the population.

A kitten weighs 3.2 pounds. A baby tiger weighs 26 times as much as the kitten. How much does the baby tiger weigh?

Answers

Answer:

83.2 pounds

Step-by-step explanation:

3.2 times 26 is 83.2 so that would be how much the baby tiger weighs

A spinner with 10 equally sized slices has 2 red slices , and 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or yellow slice?

Answers

Given parameters:

Number of equally sized slices = 10

Red slices  = 2

Yellow slices  = 4

Blue slices  = 4

Unknown:

Probability that the dial stops on a red or yellow color  =?

Solution:

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome }{Total outcome}[/tex]  

   This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.

Pr(red  or yellow) = Pr(red) + Pr(Yellow)

                             = [tex]\frac{2}{10}[/tex]  + [tex]\frac{4}{10}[/tex]

                              = [tex]\frac{6}{10}[/tex]

                              = [tex]\frac{3}{5}[/tex]

The probability of red or yellow is [tex]\frac{3}{5}[/tex]

Cindy's mom only allows her to play video games for3/4 of an hour. One day, she played a video game for 1/3 of an hour in the morning. How long can she play video games that afternoon?

Answers

Answer:

5/12 of an hour(25 min)

Step-by-step explanation:

3/4-1/3= 9/12-4/12=5/12

5/12*60min=25 min

From his comments in Act 1, it can be inferred that Parris’s concern for his daughter is primarily based on his:

A. Anxiety about his reputation
B. Fear for the fate of her soul
C. Great love for his only child
D. Terror of the devil

Answers

Can you provide Parris’ comments?

What two integers is square root 50between

Answers

√50 lies between 7 and 8.

10y=10y
what is the property of equality

Answers

Answer: Reflexive property of equality

This property says that any expression is equal to itself.

The reflexive property of congruence is a similar property, but it deals with congruences.

Answer:

The property will equal itself

Step-by-step explanation:

Who can help me find the slope? It’s due soon

Answers

Answer: 1.5 or 1 1/2
Explanation: to find the slope you do rise, in this case 6, over run, 4. You divide 6 by 4 and then that’s the slope

-->A missile is fired straight into the air from a military
installation. The missile's height (in feet) is given by the formula
h(x) = -16x2 + 400x + 100.
42 m
***remember to put the units ***
ghts head.
1. How high is the missile after 4.5 seconds?
54 m
2. At what time will the missile reach its maximum height?
x 2
3. What is the maximum height the missile will reach?
gbadgerlxm ih
Reason - WE...
Remixes)
4. When will the missile be 2500 feet above the ground?
3h
5. When will the missile reach its target (on the ground)?
ve in october
playlists
1
6 h
Next >

Answers

Answer:

answer is 8 hours landing

Is the relationship proportional ​

Answers

Yes it is
Explanation: none
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