When should you use multiplication to solve a system of linear
equations by elimination

Answers

Answer 1
To use the elimination method you need the same variable in each equation to have the same coefficient. If neither variable has the same coefficient in each equation, you need to multiply one or both of the equations by a constant to get the same coefficient.

Related Questions

1.) Find and compare the population density for Arizona and New York. Round your answers to the nearest whole number.
State Population Land Area (square miles)
Arizona 6,828,065 113,594
New York 19,795,791 47,126
You need to explain your steps in detail.

Answers

Answer:

just round them at the end

Step-by-step explanation:

Arizona: 7,278,717

New York 8.419 milion

A company created a new container in the shape of a triangular prism that will hold sunflower seeds. A three-dimensional image of the container is shown below, as well as a two-dimensional image of the base.

Part A:
The container will be made from cardboard. How many square inches of cardboard are needed to make one container? Assume there are no overlapping areas.

Part B:
How many cubic inches of sunflower seeds will fit into the container?

Answers

Part A because it’s says a Triangular prism

Kyle checked his solution to a problem by using the multiplicative inverse of 7 . What value did he use to check his solution

Answers

Answer:

The multiplicative inverse of 7 is 1/7

Step-by-step explanation:

Here, we want to get the multiplicative inverse of a number

Mathematically, the multiplicative inverse of a number is a number which when multiplied by the number gives 1

The product of 7 and its multiplicative inverse thus gives 1

So, what we have to do here is to divide 1/7

This here above, is the value of the multiplicative inverse of 7

A.Supplementary
B.None
C.Complementary
D.Vertical

Answers

Answer:

A. the answer is supplementary

Insert 3 rational numbers between 1 /4 and 1/3 using mean method​

Answers

Answer:

13/48, 7/24, and 15/48

Step-by-step explanation:

When we have two numbers A and B  (such that A < B), the mean between these numbers is:

mean = (A + B)/2

And we will always have that:

A < mean < B

In this case, we have the numbers 1/4 and 1/3

The mean between these numbers is:

M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24

we know that 7/24 is an integer that is between the numbers  1/4 and 1/3

Now we can take the mean between 1/4 and 7/24

M = (1/4 + 7/24)/2

   = (6/24 + 7/24)/2 = (13/24)/2 = 13/48

And we have:

1/4 < 13/48 < 7/24

Now we can find the mean between  7/24 and 1/3:

M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48

then:

7/24 < 15/48 < 1/3

Then we can write:

1/4 < 13/48 < 7/24 < 15/48 < 1/3

Then the 3 rational numbers between 1/4 and 1/3 are:

13/48, 7/24, and 15/48

A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5

Answers

Given:

The equation of a line is

[tex]y=-4x+10[/tex]

A perpendicular line on the given line passes through the point (4,-6).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=-4x+10[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-4[/tex]

So, the slope of the given line is -4.

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m\times m_1=-1[/tex]

[tex](-4)\times m_1=-1[/tex]

[tex]m_1=\dfrac{-1}{-4}[/tex]

[tex]m_1=\dfrac{1}{4}[/tex]

The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is

[tex]y-y_1=m_1(x-x_1)[/tex]

[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+6=\dfrac{1}{4}x-1[/tex]

[tex]y=\dfrac{1}{4}x-1-6[/tex]

[tex]y=\dfrac{1}{4}x-7[/tex]

Therefore, the correct option is B.

Estimate the perimeter of the figure to the nearest whole number. perimeter: about __ units​

Answers

Answer:

16

Step-by-step explanation:

3+3+3+3+4=16

Find the difference between the the actua
and the estimated values of 55-21​

Answers

Answer: 34

Step-by-step explanation:

A dilation with scale factor 2 maps triangle RST to triangle R'S'T'. The perimeter of triangle RST is 60 ,what is the perimeter of triangle R'S'T'?

Answers

Given:

A dilation with scale factor 2 maps triangle RST to triangle R'S'T'.

The perimeter of triangle RST is 60 units.

To find:

The perimeter of triangle R'S'T'.

Solution:

We know that the dilated figure is similar to the given figure.

The scale factor is 2. It means the side length of the dilated figure is twice then the original figure. So, the ratio of side of original figure to side of dilated figure is 1:2.

Let the  perimeter of triangle R'S'T' be x.

The ratio of perimeters of similar figure is equal to the ratio of the corresponding sides of similar figures.

[tex]\dfrac{\text{Perimeter of }RST}{\text{Perimeter of }R'S'T'}=\dfrac{1}{2}[/tex]

[tex]\dfrac{60}{x}=\dfrac{1}{2}[/tex]

[tex]60\times 2=1\times x[/tex]

[tex]120=x[/tex]

Therefore, the perimeter of triangle R'S'T' is 120.

write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2

Answers

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

[tex]y = 2x + 2[/tex]

Find the value of each trigonometric ratio

Answers

Answer:

value of sin A is 40/41

answer is A

Step-by-step explanation:

Simple answer: A
Have an nice day ✨

Which CANNOT be the third side of a triangle with side lengths 4ft, and 6ft?

5ft
8ft
10ft
2ft

Answers

Answer:

2ft

Step-by-step explanation:

2ft is small than the other options.

write 20.5×10^-5 in standard form. please help​

Answers

Answer:

the answer is 2.05×10^-4

Please help me i dont understand this

Answers

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

what is 2+2=? adding letters for extra characters​

Answers

Answer:

4

Step-by-step explanation:

Siân is saving for a car which costs 11 800 AUD. Find how many years it will take for the value of the investment to reach this value. Round to the nearest year.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.

Assume that:

[tex]r = 5\%[/tex] --- interest rate

[tex]PV =9000[/tex] --- Present value or invested amount

To calculate time (in years), we make use of the following formula of future value

[tex]FV = PV(1 + r)^n[/tex]

Where

[tex]FV = 11800[/tex]

So:

[tex]11800 = 9000( 1 + 5\%)^n[/tex]

Divide both sides by 9000

[tex]1.31 = ( 1 + 5\%)^n[/tex]

Take logarithm of both sides

[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]

Apply law of logarithm

[tex]Log(1.31) = nLog(1 + 5\%)[/tex]

Make n the subject

[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]

Express 5% as decimal

[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]

[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]

[tex]n = \frac{0.1173}{0.0212}[/tex]

[tex]n \approx 6[/tex]

The time to reach the future value is approximately 6 years.

Use the above explanation to answer your question

Write the slope-intercept form of the equation of each line
1) x—6y=—13
2) 4x— 5y= 15
3) 3X— y=2
4)13x- 7y= 56
5) x-4y=-16
6) 9x-y=1
7) x+2y=-8
8) 10x + 3y =6
9) 7x - 8y=8
10) y= -5

Answers

Answer:

1.) y= [tex]\frac{1}{6} x[/tex] + [tex]\frac{13}{6}[/tex]

2.) y = [tex]\frac{4}{5} x[/tex] - 3

3.) y = 3x - 2

4.) y = [tex]\frac{13}{7} x[/tex] - 8

5.) y = [tex]\frac{1}{4} x[/tex] + 4

6.) y = 9x - 1

7.) y = -[tex]\frac{1}{2} x[/tex] - 4

8.) y = -[tex]\frac{10}{3} x[/tex] + 2

9.) y = [tex]\frac{7}{8}x[/tex] - 1

10.) y = -5

Please i need help ASAP

What is the range? ​

Answers

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

27 is 72% of what number?

Answers

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5

Can anyone help me with this math problem please I will give brainly!! No links doe!

Answers

Answer:

d) 3 1/2 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length

5 × 7/10 = 35/10 and we can simplify it as 3 1/2 in^2

(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft

A.less than 6 but more than 20

B.more than 20 but less than 6

C.more than 6 but less than 20

Answers

Answer:

A.less than 6 but more than 20

BRAINLIEST TO CORRECT

Answers

Answer:

4519.5

Step-by-step explanation:

so sorry if that's not correct.

The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new cylinder can ?

Answers

Answer: [tex]282.85\ cm^2[/tex]

Step-by-step explanation:

Given

Radius of cylinder [tex]r=5\ cm[/tex]

The height of the cylinder is [tex]h=9\ cm[/tex]

The surface area of a cylinder is [tex]2\pi rh[/tex]

If only the outer is considered then, the area required is

[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]

Simplify fully 50y3/ 8xy2​

Answers

Answer:

[tex]\frac{25y}{4x}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke

the diameter of the circle is 8 ft
what is the approximate area of the circle, in square feet? use 3.14 for π

Answers

Answer:

50.24

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Area of a Circle:

A = πr²

Work:

A = πr²

A = 3.14(4²)

A = 3.14(16)

A = 50.24

The approximate area of the circle is 50.24 square feet.

Given is a circle with diameter of 8 ft we need to find the approximate area of the circle.

To find the approximate area of a circle, you can use the formula:

Area = π × (radius)²

Given that the diameter of the circle is 8 ft, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 8 ft / 2 = 4 ft

Now we can calculate the approximate area:

Area ≈ 3.14 × (4 ft)²

= 3.14 × 16 ft²

≈ 50.24 ft²

Therefore, the approximate area of the circle is 50.24 square feet.

Learn more about Area of circles click;

https://brainly.com/question/28642423

#SPJ4

Does anyone wanna play iMessage games

Answers

yessss

lets

play

rn!!!!!!

Which of these r-values represents the weakest correlation?

Answers

Answer:

-0.25

Step-by-step explanation:


The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?

Answers

Answer:

pretty sure its 18

Step-by-step explanation:

please help me!!!!!!!!!!

Answers

Answer: 10 × 8 × 14 = 1120 it think 1120 is the answer cause the solution is length × width × height

Hope this helps :)

And plz mark me brainiest!

Answer:

V(x)=x^2+9x^2-16x-144

Step-by-step explanation:

Here the height of the figure is 14 yd.  The base appears to be an isosceles triangle.  The volume is the height times the base area:

V = (14 yd)(1/2)(16 yd)(10 yd), or

V(x)=x^2+9x^2-16x-144

determine the sequence

Answers

1) neither
2) geometric sequence
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