Consider the following system of equations.

3x + 5y = 18
6x − 5y = 20

Decide which procedures eliminate the x variable and which eliminate the y variable. Drag and drop each procedure that will eliminate one of the variables into the appropriate category.

Subtract the second equation from the first equation.
Add the first and second equations. Multiply the first equation by −2; then add the two equations.
Divide the second equation by −2; then add the two equations. Subtract the first equation from the second equation.
Multiply the first equation by 2 then add the two equations.
Eliminate x Eliminate y

Answers

Answer 1

Answer:

Option B

On adding the first and second equations y can be eliminated

Step-by-step explanation:

The two equations are as follows

3x + 5y = 18 -- Eq (1)

6x − 5y = 20 -- Eq (2)

Adding equation 1 and 2, we get -

3x + 6x + 5y -5y = 18

9x = 18

x = 2

y = (18-3*2)/5

y = 12/5 = 2.4


Related Questions

What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.​

Answers

Answer:

27

Step-by-step explanation:

Answer:   4

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)

Answers

Answer: flog6e

Step-by-step explanation:
The power property of logarithm rule is :

Logamn = nlogaM

Applying the logarithm of power rule in the given expression we have:

Log6eF= flog6e

The second option that is flog6e is the right option among all the given options.

Write the domain of
Y= x+1/
(x+2)(x+10)

Answers

(-∞,-10)∪(-10,-2)∪(-2,∞)

Or

[tex]\left\{x|x\ne-2,-10\right\}[/tex]

Both are correct.

Triangle theoroms, what is the value of x ?

Answers

Answer:

50.6

Step-by-step explanation:

MA=46.2-14=32.2

We have similar triangles.

That is, triangle MNP is similar to MAB.

This means, we have the following proportion to solve:

32.2/46.2=x/72.6

Multiply both sides by 72.6

32.2/46.2*72.6=x

50.6=x

what is the area of the white box

Answers

Answer:

         12 m²

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

What is the slope of the line through (–5,2) and (6,7) in the standard (x,y) coordinate plane?

9
9

5
5

-5
-5

5
11
5 over 11


5
11

Answers

Step-by-step explanation:

[tex]slope = \frac{\triangle \: y}{\triangle \: x} \\ = \frac{(7 - 2)}{(6 - ( - 5))} \\ = \frac{5}{11} \\ slope = (5 ,11)[/tex]

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

The numbers are blurry on the graph

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

What is 721295.198715 rounded to the nearest tenth

Answers

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

Which job here requires the least amount of training and education

A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant

Answers

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

WILL MAKE BRAINLIST only if you solve this

Answers

Answer:

18/18 is fractions

16/16 is fractions

Step-by-step explanation:

18/18x16/16=1

Theres your answer.

find the area and the circumference of the circle round your answers to the nearest hundredth​

Answers

Answer:

Circumference= 50.27

Area= 201.06

Are the following figures similar?

Answers

Answer:

no

Step-by-step explanation:

45/36=1.25

1.25x18=22.5

not 25

no common factor

so not similar

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p

Answers

Answer:

a

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

Answers

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

also

6300

8400

= B= 14056

Answer:

5

Step-by-step explanation:

Calculate the slope , rate of change m using the slope formula

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

with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)

m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5

Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest

Answers

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!

choose the bast description for the real number 34/3

Answers

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication

Consider this equation.
cos(θ) = 4sqrt41/41


If θ is an angle in quadrant IV, what is the value of sin(θ) ?

Answers

Answer:

A.  -5√41/41

Step-by-step explanation:

Let the horizontal leg = 4√41 and the hypotenuse = 41 as

cosine = adjacent leg / hypotenuse.

Then the vertical leg is:

√(41² - 16*41) = √25*41 = 5√41

Since the vertical leg is below the x-axis, its value is -5√41

Then we have:

sin (θ) = -5√41/41

Correct choice is A

Answer:

Step-by-step explanation: i just take the test

helppppppppp id.k this

Answers

Answer:

-432 ,-2 ,2 ,72

Step-by-step explanation:

The Answer Is 2,592

This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.

In the right triangle shown, m

Answers

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.

I need help if you answer correct I will give brainiest

Answers

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Someone help NO LINKS/WEBSITES PLZ and I will mark brainiest if it’s right :)

Answers

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

The length of a rectangle plus its width is 18 cm. The area is 80 sq cm. what are the length and width of the rectangle?

Answers

Answer:

80 units squared

Step-by-step explanation:

If two sides of a rectangle add up to 18cm and the area is 80 units squared then the length is 10cm, and the width is 8cm. If you add 10 and 8 together you get 18, and if you multiply those you get 80 units squared.

answer this MATH question thank you :)

Answers

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).

Answers

Answer:

Step-by-step explanation:

Putting value of n = 12

f(12) = 128 + 15(12 - 1)

= 128 + 180 - 15

= 293

PLEASEEEEEE HEELLLPPP MEEEE!!!!

Answers

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

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