11
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
yavariable, and what is the solution for this system?
x + 3y - 42
2x-y-14
OA. Multiply the second equation by-3. The solution is x = 12. y - 9.
ов.
Multiply the second equation by-2. The solution is x-12. y = 10.
OC.
Multiply the second equation by 2. The solution is x - 15, y = 9.
OD
Multiply the second equation by 3. The solution is x - 12. = 10.
Reset
Next

11Select The Correct Answer.The Elimination Method Is Ideal For Solving This System Of Equations. By

Answers

Answer 1

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10

Step-by-step explanation:

Given:

x + 3y = 42 (first equation)

2x - y = 14 (second equation)

To solve by elimination, starting with elimination of the y-variable, multiply the second equation by 3 to get a third equation.

2x - y = 14 (2nd eqn.) × 3

6x - 3y = 42 (3rd equation)

Add the 3rd equation and the 1st equation together.

x + 3y = 42 (first equation)

6x - 3y = 42 (3rd equation)

7x = 84

7x/7 = 84/7

x = 12

To find y, substitute x = 12 in the first equation

x + 3y = 42 (first equation)

12 + 3y = 42

12 + 3y - 12 = 42 - 12

3y = 30

3y/3 = 30/3

y = 10

Solution is x = 12, y = 10


Related Questions

help me please!! it's for math

Answers

Answer:

a. In one minute it will fall 200 feet.

b. In two minutes it will fall 400 feet.

c. In three minutes it will fall 600 feet.

Step-by-step explanation:

a. The information given states that each minute it falls 200 feet. That means that for one minute it has fallen 200 feet.

b. 200 + 200 because another minute has passed.

c. 400 + 200

what is the range of 20,15,10,5

Answers

Answer:

15

Step-by-step explanation:

Since range is the difference between the highest valued character and the smallest

20-5=15

14.) Solve for x if mZHWO
= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y

Answers

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

Find the measure of LABC. (Hint: Solve for x first.)

Answers

(4x+6)+(2x)=180 because they make up a line
6x+6=180
6x=174
x=29
4(29)+6=122

Copy PQ to the line with an endpoint at R.

This task will be complete when you have

drawn an arc intersecting the line to create

a segment with length PQ.

Answers

Answer: Hello your question lacks some details attached below is the complete question

answer:

Place a compass at point Q , measure arc PQ Draw an arc with the compass that is equal to PQ , Place the compass at point R ,   cut through the line to the left of R with the arc in compass, Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Step-by-step explanation:

The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;

Place a compass at point Q ,  measure arc PQ

Draw an arc with the compass that is equal to PQ ,  Place the compass at point R ,   cut through the line to the left of R with the arc in compass,

Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Answer:

Set the compass width to the length PQ by putting one end on P and the other and on Q

Without changing the width, move the compass so one end is on R and the other end is on the line containing R

Draw an arc across the line using R as the center

Mark the point where the arc crosses the line as point S

RS is the copied segment.

Step-by-step explanation:


Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050

Answers

The answer is going to be option c. It’s going to be 72 it’s simple

Find the length of the missing side.
40 m
24 m
The length of the missing side is
m.

Answers

Answer:

40 m and 34 m

Step-by-step explanation:

vas muy bien seguro asi q hazlo tu JAJJA

Your side length is 32, using the Pythagorean theorem. We are given hypotenuse and length a. Now we are finding b, to do this substitute your known value 40^2 is 1600-24^2=1024. Now we have b^2=1024 square root both sides. Square root of 1024 is 32. Therefore b is 32. Hope this helps

1. Write as a mathematical equation.
The sum of a number and 5 times the number is 42.
(n + 5). n = 42
n + 5n = 42
(n + 5). n
n + 5n

Answers

Answer:

2nd option:  n + 5n = 42

Step-by-step explanation:

ANSWER: n + 5n = 42

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Please help me solve my problem!!!

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

**PLEASE HELP THIS IS FOR A FINAL**

Please show work as well

Answers

The answer could be 3/2 or 1/4 and I don’t know if this is right

What’s the Missing Side?
PLEASEE HELPP

Answers

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!

Answers

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!

Here are the first five terms of an arithmetic sequence.

26 19 12 5 -2

Find an expression, in terms of n, for the nth term of this sequence.

(I know part of it is -7n but I'm not sure what the rest would be)

Answers

33-7n is the required expression.

Have a nice day!!

Answer:

the answer is -7n+ 33

Step-by-step explanation:

i usually just add the constant difference to the first term to create the last value . it sometimes doesnt work but does most times

PLEASEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

1.04

$45,552

Step-by-step explanation:

new price = 1.04 * original price

new price = 1.04 * 43,800

newprice: $45,552

In a survey of 2,700 people who owned a certain type of​ car, 95 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

To solve this you would do 1350/2700 which is 50%

Hope this answer helps you :)

Have a great day

Mark brainliest

12 less than a number is equal to the product of 7 and that number. Convert into an
equation and find the number?
Please explain it step by step

Answers

Answer:

x -12 = 7x

x = -2

Step-by-step explanation:

Let the number be x

12 less than the number is:

x -12

equals the product of 7 and that number (7 * x)

x -12 = 7x

7x - x = -12

6x = -12

x = -12/6

x = -2

Solve this plz for god sake ​

Answers

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

find the value of x and y, (x+y, 2x-y)= (13, 2)

Answers

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age

Answers

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

land value is increased by 12 % in each year in 2016 , the value is $60000.


i )what us the land value after 4 years

ii) Calculate the increase of the land value during these 4 years.

Answers

Answer:

I=use PTR/100

ii =p+i

Step-by-step explanation:

hope you like it

Simplfiy the expression
12/c^-8d^2?

Answers

the second one is the answer most likely, use the app photo math
The answer A:12c^8/d^2

If x÷36= -234 what is the value of x​

Answers

Answer:

x =-8424

Step-by-step explanation:

x÷36= -234

Multiply each side by 36

x÷36  *36 = -234 *26

x =-8424

Answer:

x = -8424

Step-by-step explanation:

[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]

simplify (5+1)2 - (12+32) /3

Answers

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

Find the difference. Show your solutions as two steps: First rewrite the subtraction as addition; then carry out the addition to find the answer. 8 − 5 = 8 + 8+5 Incorrect: Your answer is incorrect. = 45 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]8 - 5 = 3[/tex]

Step-by-step explanation:

Given

[tex]8 - 5 =[/tex]

Required

Solve

Step 1: Write as addition

Simply change the positions of -5 and (+)8

[tex]8 - 5 = -5 + 8[/tex]

Step 2: Add

[tex]8 - 5 = 3[/tex]

The graphs below have the same shape. f(x) = x.
What is the equation of the graph of g(x)?

A. g(x)=x^2-2
B. g(x)=(x-2)^2
C. g(x)=(x+2)^2
D. g(x)=x^2+2

Answers

Answer: D

Step-by-step explanation:

I think it’s D I’m not sure

Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0

Answers

Answer:

x1= -13,x2=3

Step-by-step explanation:

we have

(x+5)^2 -64=0

<=>x^ 2 + 10x+ 25-64=0

<=>x^ 2+10x-39=0

<=>( x-3).(x+13)=0

Answer:

-13, 3

Step-by-step explanation:

khan

Can you guys help me find the answer

Answers

6+2=8
:))))))))))))))

Answer:

Step-by-step explanation:

Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.

It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.

The total is 2 hexagons + 6 rectangles = 8 faces.

Which of the statements below is/are true for the following function? f (x) = x^3 – 7x^2 + 36
Select all that apply.
A f(-14) = 5
В. f(x) = (x – 5) (x^2 – 2x – 10) +4
C. The remainder when f(x) is divided by (x - 5) is - 14.
D. f(5) = -14
E The remainder when f(x) is divided by (x + 14) is 5

Answers

Answer:

C

Step-by-step explanation:

the value of x is 5 sub 5 into the formula your ans will be -14

Brainliest goes to whoever answers correctly also if you want more points then answer my others

Answers

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

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