Find the solution for a system of equations by elimination
3x – 6y = 12
5x - 2y = 10

Answers

Answer 1

Answer:

y=2, x=1

Step-by-step explanation:

3x-6y=12(x2)

5x-2y=10(x6)

Eliminate y

6x-12y=12

30x-12y=60

-24x =-48

divide both sides by -24

-24x/-24=-48/-24

y=2

to get our x

3x-6(2)=12

3x-12=12

3x=12+12

3x=24(divide both sides by 3)

x=1


Related Questions

Help with question 2

Answers

Answer:

x = 97

Step-by-step explanation:

Question 2:

Recall that, the sum of all 4 angles in a quadrilateral = 360°.

This means that all the interior angles of the quadrilateral given above would sum up to 360°.

To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.

Thus:

(x + 10) + x + 59 + x = 360°

Add like terms

3x + 69 = 360

3x + 69 - 69 = 360 - 69

3x = 291

3x/3 = 291/3

x = 97

Evaluate:

12x+10 for x=−12

Answers

Answer:

-144?

Step-by-step explanation:

im not sure if that'll be the answer

Answer:

-134

Step-by-step explanation:

If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.​

Answers

Answer:

x+y=5

Step-by-step explanation:

Isolate y in the first equation:

3x+ 2y = 10

2y = 10 - 3x

y= (10 - 3x)/2

substitute this value of y into the second equation:

2x + 3 ((10 - 3x)/2) = 15

now solve for x:

2x + 3/2 (10 - 3x) =15

2x + 15 - 9/2x = 15

-5/2 x = 15 - 15

-5/2 x / (-5/2) = 0/(-5/2)

x=0

now use this value to solve for y:

y = (10 - 3(0))/2

y = 10/2

y = 5

now x+y

0+5=5

at a deli counter, someone bought 1.6 pounds of ham for 14.50. How much will it cost per one pound

Answers

Answer:

approx. 9.06 for one pound

Step-by-step explanation:

12
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7-32 - x = 12
The solution is I =
Reset
Next

Answers

take 7-32 which equals -25 so you have
-25-x=12 then you add 25 to 12 then you get
-x=37 divide each side by one so then you have
x= -37

WILL GIVE BRAINLIEST

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

The two sides are the exact same therefore x can be anything

Answer:

infinitely many solutions

Step-by-step explanation:

6(x + 4) - 8 = 6x - 16

6x + 24 - 8 = 6x - 16

6x - 16 = 6x - 16

6x = 6x

x = x

RHS = LHS

Therefore, x can be any real number.

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. They will have the runners wear the shoes when they run for two months. After two months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The company decides to use a matched pairs design and devises two options.

Option A: The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest two, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, then the first runner will receive the new model of shoes and the second runner will receive the original model. If the coin lands on tails, the first runner will receive the original model of shoes and the second runner will receive the new model. After 2 months of use, the difference in wear for the pairs of runners will be determined.

Option B: The 50 subjects will each receive both models of shoes. At the beginning, the runner will flip a coin, and if it lands on heads, they will wear the new model on their right foot and the original model on their left foot. Then after one month, they will change and use the new model on their left foot and the original model on their right foot. After the second month, the wear for each model will be determined and compared for the 50 runners.

Which option should the shoe company use to compare the two models?

A: The runners are paired based on their running ability. This will provide an accurate comparison for the difference in wear between the original model and the new model.
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Both A and B: Both provide an accurate comparison for the difference in wear between the original model and the new model. The runners are paired in option A based on running ability, and each runner uses both models in option B.
Neither A nor B: Neither provides an accurate comparison to determine the difference in wear for the two models. This experiment should be a randomized block design.

Answers

Answer:

B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.

Step-by-step explanation:

Since the shoe company wants to test the wear of the shoes after two months, it means that option B will be the most accurate.

This because everybody has peculiarities in the bodies and also running patterns. These could have an effect on either of their legs. Thus, having to wear a new one on one leg and the original one on another leg for a month and then replacing with the second leg of both for the other month would be the best way to know the true effect of wear on the shoes because they have both been subject to same conditions within exactly the same timeframe.

Answer:

B

Step-by-step explanation:

got it right

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi

Answers

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.

A. 0.028
B. 0.054
C. 0.035
D. 0.043

Answers

The standard error of the sampling distribution is given as follows:

B. 0.054.

How to obtain the standard error of the sampling distribution?

By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The parameter values for this problem are given as follows:

p = 0.2, n = 55.

Hence the standard error is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]

s = 0.054.

Meaning that the correct option is given by option B.

More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303

#SPJ1

I’m between what two integers is the square root of 77

Answers

Answer:1,7

Step-by-step explanation:

Answer:i think it's 88 86

Step-by-step explanation:

A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of getting three or more heads in a row or three or more tails in a row is 0.9791.2
What is the probability of getting three or more heads in a row and three or more tails in a row?​

Answers

Answer:

The  value is  [tex]P( H \ n \ T ) = 0.6049[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  [tex]P(H) = 0.7870[/tex]

   The probability of getting three or more heads in a row or three or more tails in a row is    [tex]P(H \ u \ T ) = 0.9791[/tex]

Generally given that it is a fair coin , then   [tex]P(H) = P(T) = 0.7870[/tex]

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        [tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]

=>   [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]

=>   [tex]P( H \ n \ T ) = 0.6049[/tex]

 

Complete this division sentence.
9988 + 23 =
R

Answers

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

First row

Fill in the given x-value and solve for y:

  3(-4) +2y = -6

  -12 +2y = -6

  -6 +y = -3 . . . . . divide by 2

  y = 3 . . . . . . . . . add 6

__

Second row

Fill in the given y-value and solve for x:

  3x +2(0) = -6

  x = -2 . . . . . . . . . divide by 3

What is the value

-3/2(24 - 5 1/3 )

A. -44

B. 32 1/6

C. -41 1/3

D. -28

Answers

Its D) -28 hope this helped!!

I need help with this question.

Answers

Answer:

False.

Step-by-step explanation:

Any straight line may have infinite number of points (solutions) lying on it.

Therefor, straight line 'l' can't have exactly two solutions.

Line 'l' will have infinitely many solutions.

Exactly one or two solutions are possible only when two lines or functions intersect each other.

Therefore, answer is false.

What is the function written in vertex form?

f(x) = 4(x + 6)2 + 10
f(x) = 4(x + 6)2 – 26
f(x) = 4(x + 6)2 – 134
f(x) = 4(x + 6)2 + 154

Answers

4(x+6)2+10=8x+58
4(x+6)2-26=8x+22
4(x+6)2-134=8x-86
4(x+6)2+154=8x+202
~ I hope this helped!

Answer:

(C) f(x) = 4(x + 6)2 – 134

Step-by-step explanation:

edge 2022

May you please answer this question i tried to answer but failed miserably

Answers

Answer:

I think it is postive

Please help thank you..

Solve the following equation:
3x^2= -12

Picture above of the options.^

Answers

Answer:

Step-by-step explanation:

option d

What postulate/theorem can be used to prove the following triangles congruent?

Answers

Answer:

ASA

Step-by-step explanation:

since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem

A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly across two brands of chocolate chip cookies. A random sample of 10 Chewy Delight cookies reveals a mean of 6.4 chocolate chips per cookie and a standard deviation of 1.1 chocolate chips per cookie. A random sample of 11 Chips Destroy cookies reveals a mean of 5.6 chocolate chips per cookie and a standard deviation of 1.7 chocolate chips per cookie. Assuming unequal population variances, what is the calculated value for the associated test statistic?

Answers

Answer: the value for the associated test statistic is 1.2653

Step-by-step explanation:

Given that;

sample size one n₁ = 10

mean one x"₁ = 6.4

standard deviation one S₁ = 1.1

sample size two n₁ = 11

mean two x"₂ = 5.6

standard deviation one S₁ = 1.7

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Pooled Variance

sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))

we substitute

= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))

= √( { [(9) × 1.21 + (10) × 2.89]  / (19) } × (0.1909))

= √({[ 39.79 ]  / 19} × (0.1909))  

= √( 2.0942 × 0.1909)

= √( 0.39978 )

= 0.63228

Now Test Statistics will be;

t = ( x"₁ - x"₂) / sp

we substitute

t = ( 6.4 - 5.6) / 0.63228

t = 0.8 / 0.63228

t = 1.2653

Therefore the value for the associated test statistic is 1.2653

Which shows the equation below written in the form ax^2+bx+c=0 ? x^2+8x+10=3

Answers

Answer:

[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]

Step-by-step explanation:

We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.

We are given the equation:

[tex]x^2+8x+10=3[/tex]

We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.

It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.

[tex]x^2+8x+10-3=3-3[/tex]

[tex]x^2+8x+(10-3)=0[/tex]

[tex]x^2+8x+7=0[/tex]

The equation in standard form is x²+8x+7=0

124 – 70 = n – 35 I need the answer i please this is very importend

Answers

Answer:

N=89

59 = n - 35

54+35 = n

89=n

n=89

What is needed to prove the triangles are congruent?

Answers

Answer:

l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name

Answer:

To prove triangles are congruent (equal) you must show that corresponding sides have the same measure as well as corresponding angles having the same number of degrees.

Step-by-step explanation:

Answer: You need to show that the measure of angle G is equal to the measure of angle T.

which is the galaxy is the closest to our galaxy at the moment ​

Answers

Andromeda galaxy is your answer

PLEAS HELP ME!!!!!!!!!!!!!!!!Use a unit rate to find the unknown value.
52/13, 12/?

Answers

Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

(x - 12) - 5 = 3x - 2

x = ?

Answers

Answer:

not equal

Step-by-step explanation:

Answer:

x= -7.5

Step-by-step explanation:

x-12-5=3x-2

x-17=3x-2

-2x=15

x=-7.5

If you double the radius of a circle, then you will quadruple the circumference of the circle

Answers

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

Write as quotient of powers.

Answers

Answer:

I said C on my test but I'm pretty sure its right

Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs

Answers

Answer:

The 90% confidence interval is   [tex] 87.95   <  \mu < 92.05  [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 28[/tex]

    The  sample mean is  [tex]\= x = 90[/tex]

    The standard deviation is  [tex]s= 60[/tex]

Generally given that the sample size is not large enough i.e  n <  28 then we will make use of the t distribution table  

Generally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]    

=>      [tex]df = 28 - 1[/tex]  

=>      [tex]df = 2 7[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the student t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 27  } =  2.052[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex]90  - 2.052  <  \mu < 90  + 2.052  [/tex]

=> [tex] 87.95   <  \mu < 92.05  [/tex]

divide partial quotient 308 divide by 4

Answers

Answer:

77 is the answer your welcome

77. Might be wrong so yeah
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