Mathematics College

In order to solve the system of equations
{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?

Answers

Answer 1

Answer:

Multiply the second equation by 3 and then add result to the first equation

Step-by-step explanation:

Given the equations :

x-3y=2

{2x+y=11

To solve by elimination :

Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.

By Multiplying the second equation by 3 and then add result to the first equation

Second equation becomes :

6x + 3y = 33

Adding the result to the first equation :

x - 3y = 2

6x + 3y = 33

___________

7x = 35

_________

Here, the y variable has been eliminated

Related Questions

HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE

Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid

Answers

A:line and a prism.
B:line and rectangle

Noah stood 55 2/3 inches tall on his tenth birthday. If he stood 58 1/2 inches on his 11th birthday, how much taller has Noah grown in the past year?

Answers

Answer:

2 5/6 inches

Step-by-step explanation:

58 1/2 to 58 3/6

55 2/3 to 55 3/6

add 6/6 to 3/6 and change 58 to 57

subtract

=2 5/6

The growth of Noah in the past year is 2 5/6 inches.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Noah stood 55 2/3 inches tall on his tenth birthday and he stood

58 1/2 inches on his 11th birthday.

Therefore, The growth of Noah is the difference between the heights on his tenth birthday and eleventh birthday which is,

= (58 1/2 - 55 2/3) inches.

= (117/2 - 167/3).

= (117×3 - 167×2)/6 inches.

= (351 - 334)/6 inches.

= 17/6 inches.

= 2 5/6 inches.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Please help 15 points

Answers

Answer:

12 %

Step-by-step explanation:

3/25 = 0.12

0.12 x 100 = 12

Answer:

12%

Step-by-step explanation:

3/25=0.12

0.12 turnes into 12%

find
the value of :
sin 0° + cos 0° + tan 45°

Answers

Answer:

this is easy

Step-by-step explanation:

sin 0 is 0

cos 0 is 1

tan 45 is 1

so ...

0+1+1 is 2

There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?

Answers

Answer:

0.8 liters

Step-by-step explanation:

1l=1000 mlml=1000 ml-200ml=800ml=0.8L

Answer:

shouldn't it be 800 mL

Step-by-step explanation:

cause there are 1000mL in 1 liter

If 3/10 = 30/100, then 4/10 = ___/100

Answers

Answer:

40/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 3/10 = 30/100, then 4/10 = 40/100

Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?

Answers

Answer:

y = -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a ; b ; and c. For that we have three conditions therefore

Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $ or y = 432 and

432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c

Second condition selling at 13 $ each T-shirt she sells 34 , then

13*34 = 442

442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c

And the third condition

11*38 = 418

418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c

We have a three equation system

432 = 144*a + 12*b + c (1)

442 = 169*a + 13*b + c (2)

418 = 121*a + 11*b + c (3)

We need to solve it for a, b and c

Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)

24 = 48*a + 2*b

Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )

24 = 48*a + 20 - 50*a

24 - 20 = -2*a

4 = - 2*a

a = - 2 and b = 10 - 25*( -2) b = 60

Finally c is: 432 = 144*a + 12*b + c

432 = 144* ( -2) + 12*60 + c

432 = - 288 + 720 + c

432 = 432 + c

c = 0

The quadratic function is:

y = -2*x² + 60*x

Add parentheses to make this equation true 7 + 8 - 2 x 3 = 25

Answers

7+(8-2)•3 I hope this helps!

For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero. We also assume that where it matters the base of any power is positive.
_____For all real numbers a, b, and c a^b a^c = a^be
_____For all real numbers a, b, and c a^b a^c = a^b+c
_____For all real numbers a and b a^-b= a/a^b
_____For all real numbers a and b a^-b = -a^b
_____For all real numbers a and b a^b = ab

Answers

Answer:

Step-by-step explanation:

Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?

Answers

Answer:Edward

Step-by-step explanation:

s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old

Answers

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer:

Sam is 24 and his mom is 48

Step-by-step explanation:

the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?

Answers

The shortest side is 16. Tip: add up all the sides to equal the perimeter.

Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.

Answers

Answer:

216

Step-by-step explanation:

LCD = 30

200(3/30) = 600/30

^ do this process for each number

Answer: 216

Step-by-step explanation:

The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14

Answers

answer:

14 is two times greater than 7.

so,

10 is two times greater than 2x - 19

10 = 2(2x - 19)

10 = 4x - 38

48 = 4x

x = 12

-- please mark the brainliest and click the thanks button if correct :)

find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

What is the coordinate where x=-1 ?

What is the coordinate where x=2?

What is the rate of change between those two points?

Answers

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.

3 over x plus 6 over y

Answers

Answer:

[tex]\frac{3}{x}+\frac{6}{y}[/tex]

The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.

Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?

Answers

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

Solve the equation 2x +45 = 9. Explain the steps
and properties you used.

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2x+45=9 Equation/Question

Step 2

2x+45=9 Simplify

Step 3

2x+45=9 Subtract 45 from sides

2x=-36

Step 4

2x=-36 Divide sides by 2

-18

Answer

x=-18

Hope this helps

Answer:

Step-by-step explanation:

I can help

Step 1

2x +45 = 9 Simplify

Step 2

2x +45 = 9 you gotta subtract 45 from each sides

2x=-36

Step 3

2x=-36 Divide the sides by 2

Answer

x=-18

hope this helps

A triangle has an area of 29.7cm^2 and a base of 13.5cm. Use the formula A=1/2 bh to find the height.

Answers

Answer:

4.3362962963

Step-by-step explanation:

A=1/2bh

29.7cm^2=1/2 13.5h

You're gonna multiply each side by 2 to cancel out the fraction equaling,

58.54= 13.5h

You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.

1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29

Answers

Answer:

Step-by-step explanation:

4(z+ 4) + 5 z = 2

4(2+4)+5

4(6)+5

24+5

=29

Answer:

theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions

Step-by-step explanation:

solve similar triangles (advanced) solve for x

Answers

Step-by-step explanation:

this is the answer of given question

I try to find it but I could PLEASE help I’ll say the answer when I’m done

Answers

Answer: false

Step-by-step explanation:

Find the value of x.
65°
(x + 12)
X-53
X = 65
x-77
x = 103

Answers

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much

Answers

Answer:

Jacob has more. $8,500,000 more.

Step-by-step explanation:

4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000

for the figure below, give the following

Answers

Answer:

(a) <1 & <6 (b) <5 & <6 (c) 7 & <3

Step-by-step explanation:

Vertical angles are angle that make an X

Linear pair angles are next to each other

Supplementary angles are angles that form a straight line

Answer:

a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5

b) 5 and 6

c) 1 and 5

Step-by-step explanation:

Solve for k:
8 36
K 1.8

Answers

Step-by-step explanation:

I there a picture for the problem ?

I need help with this geometry question

Answers

KL=27
JK=16
MK=46
NL=15

Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Drag and drop an answer choice into each empty box below.
0 5 10
+
Drag and drop items from the box above to accurately complete the
statement below.
Identify the value of aj and complete the recursive rule for Mr. Gary's
sequence.
ai =
an = an-1

Answers

Answer:

this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5

Step-by-step explanation:

Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5

Answer:

Step-by-step explanation:

the answers is 75,000,000

Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has Laura saved

Answers

Answer:

Step-by-step explanation:

3/4*36=27

therefore the answer is

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In order to solve the system of equations {x-3y=2 {2x+y=11 Using the elimination method, which of the following steps could be used?

Answers

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In order to solve the system of equations
{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?