5m - 2n=4
m - 4n = -1
20 3x + 5y = 11
2x - y=3​

Answers

Answer 1

Answer:

Step-by-step explanation:

5m - 2n = 4

 m - 4n = -1     add 4n to both sides   m - 4n + 4n = 4n - 1  

 m = 4n - 1      now substitute for m into the first equation

5(4n -1) - 2n = 4

20n - 5 - 2n = 4           combine the n coeffients  and add 5 to both sides

18n - 5  = 4 + 5

18n  = 9      solve for n      by dividing 18 by both sides

 18 n/18   =  9 /18

      n   =    1/2      now find for m using  m = 4n - 1    m = 4(1/2) - 1   m = 2 -1  = 1

      m  =   1          (1, 1/2)  solves the two equations

3x + 5y = 11      equation 1    

2x - y = 3​          multiply both sides by 5 so when you add the two equation

                         the y term is eliminated  (becomes zero)

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

10x - 5y = 15    equation 2      add equation 1 and equation 2

3x + 5y = 11     add the like terms

10x - 5y = 15    add the like terms

(3x + 10x) + (5y - 5y) = (11 + 15)

   13x        +     0       =    26               the y tern is gone   now solve for x      

   13x = 26

    13x/13  = 26/13

     x = 2                        now find y    using  2x - y = 3

   2x - y = 3         add y and subtract 3 from both sides

   2x - y + (y - 3)  =  3 + (y - 3)

   2x - 3 = y         we already know x = 2

   2(2) - 3 = y

     4 - 3 = y

        1  = y           answer (2,1)   solves the two equaitons


Related Questions

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

Help me out please an thank you

Answers

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

stuck on this hope someone can help me

Answers

Answer:

all are correct except the third one. the formula for that one should be v = a³ since it's a cube

Step-by-step explanation:

Subject:Mathematics ​

Answers

The Range Is The Difference (-) Between The Highest And Lowest Numbers.

85 - 79 = 6

The Range Should Be 6

Divide 45 pens between devika bhoomika in the ratio 4:5​

Answers

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

What is the formula for the volume of a sphere?
V=(1/3)*(π)*(r*r)*(h)
V=π*r*r*h
V=b*l*h
V=(4/3)*(π)*(r*r*r)

Answers

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Question 1 A square has a perimeter given by the expression 20x + 24y Write an expression for the length of one side of the square. ​

Answers

Answer:

5x+6y

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDAStips and formulas:parimeter of a square:4alet's solve:factor out 4 from the expression:4(5x+6y)therefore the length of one side of the square is 5x+6y

Answer:

[tex] \boxed{ \tt{s = 5x + 6y}}[/tex]

Step-by-step explanation:

[tex]let \: the \: perimeter \: be \to p \\ let \: the \: side \: be \to s \\ since \to \: p = 4s \\ then \to \: 4s = 20x + 24y \\ hence \to \: 4s = 4(5x + 6y) \\ therefore \to \: s = 5x + 6y[/tex]

Muffins come in 3 sizes, 4 flavors, and with or without nut toppings. How many combinations are in the sample space?

Answers

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

Alexa wants to purchase some new supplies for making jewelry

Answers

Answer:

B A A

Step-by-step explanation:

Whats 1+1 and 2+2 and 3+7 I’m in the first grade

Answers

Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!

Answers

give me 1 sec i will send it over

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

What is volume?

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

How to calculate volume?

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

-8x+2<114
Make sure to type “x” and the the inequality symbol “<,>,<_,_>”

Answers

Your answer is -14
Hope this helped

3
The grid shown below is in the shape of a rectangle.
What is the area, in square units, of the shaded part of the rectangle?
А.
14
B
24
С
28
D
48

Answers

Answer:

hello

Step-by-step explanation:

but dear where is the picture?

Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?

Answers

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

what is 5 times a number minus 3 is 12 ?​

Answers

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and school

Answers

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )

Answers

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

help? part a:

Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.

Talent show ticket prices

Student Price $3

Adult Price $5

What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.

Answers

Answer:

$330

Step-by-step explanation:

$3 times 60 students = $180

$5 times 30 adults = $150

$180 + $150 = $330

Answer:

Step-by-step explanation:

you would find your answer by multiplying the amount of students/adults by how much each ticket costs

60 x $3 = $180

30 x $5 = $150

$180 + $150 = $330

Rachel needs to drive a total of 205.2 miles. So far, she has driven 56 miles. How many more miles must Rachel drive?
miles
X 5 ?

Answers

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?

Answers

I pretty sure this one is b
A) 40/480 reduced to 1/12

B) (1/12) x 100 = 8.33%

C) 100% - 8.33% = 91.67%

i need help with this asap! i will give brainliest :) (image included)

Answers

7 x 3 = 21 so it is 21 ft cm your welcome

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

Express 0.0175 in scientific notation.

Answers

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

9 ( x + 4 ) = 63
Solving 2 step equations

Answers

Answer:

The answers is x=3

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

May i please have a brainless Thank you.

What is the quotient? X+5√3x^2+4x+5 A.) 3x^2-11+60/x+5 B.) 3x-11+60/x+5 C.) 3x^2-11-50/x+5 D.) 3x-11-50/x+5 Please hurry this is timed!

Answers

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

The ratio of green bags to white bags in the store is equal to 2 to 5.There are 30 white bags in the store how many green bags are there?

Answers

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

(4c+3d) - (6c-6d) - (3c-5d)
Simplify please <3

Answers

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!

Answers

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

pls i need help is dis qs :(

Answers

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

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