Solve the given system by substitution.

Solve The Given System By Substitution.

Answers

Answer 1

Answer:

(2, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

r = 4s

r = 1/2s + 7

Step 2: Solve for s

Substitution

Substitute in r:                                4s = 1/2s + 7Subtract 1/2s on both sides:          7/2s = 7Divide 7/2 on both sides:              s = 2

Step 3: Solve for r

Define equation:                    r = 4sSubstitute in s:                       r = 4(2)Multiply:                                  r = 8
Answer 2

Answer:

s = 2

r = 8

Step-by-step explanation:

subsitution is were you plug in a systerm into the other problem

since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)

so now you have 4s = 1/2s+7

now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7

now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2

s = 2

now we have s we take that and plug it into r = 4s

subsitute S as 2  --> r = 4(2)

r = 8


Related Questions

What’s the correct answer?

Answers

Answer:

B

Step-by-step explanation:

Kai calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how many minutes does Kai spend in school?

Answers

Answer:

500 minutes or

8 hours and 20 minutes

Step-by-step explanation:

Solve the inequality. Graph the solution.

-11>m+4 or 2m≥-16

Answers

Answer: Exact Form:

m

=

31

12

Decimal Form:

m

=

2.58

¯

3

Mixed Number Form:

m

=

2

7

12

Step-by-step explanation:

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

D

Step-by-step explanation:

At least = Less than sign

At most = Greater than sign

Both include the -6 and 9. (Closed dots)

what is an equation of the line that passes through the points (-2,1) and (-8,4)​

Answers

Answer:

y = -1/2 x

Step-by-step explanation:

slope = Δy / Δx

= 4 - 1 / -8 - (-2)

= 3 / -6

m = - 1/2

y = mx + b

1 = (-1/2)(-2) + b

1 = 1 + b

b = 0

eqn of the line : y = -1/2 x

Factor each Polynomial​

Answers

Answer:

2(+2)(+3)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ \sf 2x (x+3)(x+2)}[/tex]

Step-by-step explanation:

[tex]\sf =2x^3+10x^2+12x\\\\Take \ 2x \ common\\\\=2x(x^2+5x+6)\\\\By \ mid-term \ break \ formula\\\\=2x(x^2+3x+2x+6)\\\\=2x[x(x+3)+2(x+3)]\\\\Take \ (x+3) \ common\\\\= 2x (x+3)(x+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

50 p o i n t s H U R R Y

Answers

Answer:

1 1/6

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

have a good one

Sorry if I'm wrong

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

∠P

Step-by-step explanation:

∠P is between NP and PE

If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________

Answers

Answer:

x = ∞ infinite solutions or 0

HI = infinite solutions

ID = infinite solutions.

Step-by-step explanation:

Oh okay I got this now!

ID + HI = DH

ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)

ID - 4 = 2x + 10 (add 4 on both sides)

ID = 2x + 14

So now ID + HI = DH

2x + 14 + 2x - 4 = 4x + 10 (simplify)

4x + 10 = 4x + 10 (subtract 10 on both sides)

4x = 4x (minus 4x on both sides)

0 = 0

I would plug in 0 as x.

Hope this helps!

A farmer has 300 feet of fence available to

enclose a 4500 square foot region in the

shape of adjoining squares, with sides of

length x and y. The big square has sides of

length x and the small square has sides of

length y. Find x and y.

UUUULTTUUL

x= ? feet

y = ? feet

Answers

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

A pair of shoes is on sale for 90% off. If the original price is $37.00, what is the sale price?

Answers

Answer:

3.70 The difference is 33.30

Step-by-step explanation:

Water is filling a ditch at a rate of 2 gallons per minute. Complete the table of equivalent ratios for the first 5 minutes of the ditch filling up. ​

Answers

Answer:

2    4     6      8       10

1     2    3      4       5

Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply  2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.

How do I write a slope intercept form from a graph​

Answers

Answer:

Depending on your question

Step-by-step explanation:

For example if its (4,-2) you go 4 up because it's positive and 2 down because its negative. After, you connect those two coordinates and get your FINAL answer after.

The roots of the equation 2x^2 -12x+12 =-3

Answers

Answer

Step-by-step explanation  find the roots of the equation by solving for x

23.82600 round off to two decimal place​

Answers

Answer:

23.83......the 6 is greater than 5 so the 2 turns 3

Step-by step

solve the following equation 5a-4>2a+8

Answers

Answer:

4

Step-by-step explanation:

Simplifying

5a + -4 = 2a + 8

Reorder the terms:

-4 + 5a = 2a + 8

Reorder the terms:

-4 + 5a = 8 + 2a

Solving

-4 + 5a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

-4 + 5a + -2a = 8 + 2a + -2a

Combine like terms: 5a + -2a = 3a

-4 + 3a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

-4 + 3a = 8 + 0

-4 + 3a = 8

Add '4' to each side of the equation.

-4 + 4 + 3a = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 3a = 8 + 4

3a = 8 + 4

Combine like terms: 8 + 4 = 12

3a = 12

Divide each side by '3'.

a = 4

Simplifying

a = 4

find the scale factor of a drawing if the scale is 1 inch = 1/8 inch

Answers

Answer:

I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches

Step-by-step explanation:

The scale factor of the drawing if the scale is 1 inch = 1/8 inch is

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given that,

Scale of a drawing is,

1 inch = 1/8 inch

That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.

So, drawing is reduces by 1/8

So scale factor = 1/8

Hence the scale factor of the drawing is 1/8.

Learn more about Scale Drawings here :

https://brainly.com/question/17388747

#SPJ3

What is b when sy = 128.4, sx = 327.8, and r = 0.92?

b = 2.349
b = 0.360
b = 0.007
b = 0.392
b = 2.553

Answers

Answer:

0.360

Step-by-Step Explanation:

The equation to find B is as follows:

B = R * (sy/sx)

All of those values are given to you in-question. It’s a matter of plugging in the material and following PEMDAS. For this, the equation becomes; 0.92 x (128.4/327.8), which pans out to be 0.360.

Hope this helped.  

Which system of equations has no solutions?

Answers

Answer:

The answer is simple it would be the 3rd one(2nd row to the left)

Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money deduct from his salary? What was the salary for Bob after the income tax?

Answers

Answer:

i. $97.4ii. $1412.6

Step-by-step explanation:

step one:

given data

Bob's  monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

.
If the mass of an object on Earth is 18kg what would the mass of the same object be on the Moon?
A. 18kg
B. 6kg
C. 108kg
D. 3kg

Answers

Answer: 18kg

Step-by-step explanation:

Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.

In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.

i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!

Answers

It should be 620
because the fee is $50, if you subtract that from one hour of work you get 95 that is how much it is per hour. You multiply 95 by 6 to get how much it would cost for the hours of work and then add the $50 back on for the initial fee

find slope and y-intercept formed the graph if the linear equation
y=1/4x-8​

Answers

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

Answer: slope: 1/4

y-intercept: (0,-8)

Hope this helps and good luck :)

Step-by-step explanation:

list all the factors of 8 from least to greatest for my brother

Answers

Answer:

1,2,4,8

Step-by-step explanation:

8/1=8

8/2=4

8/4=2

2 and 4

Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8

2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!​

Answers

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

 

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What population does your function project at the end of 37 years?

Answers

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

First, we will establish the future value (FV) formula:

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

Now, for 37 years:

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12

Answers

Answer:

|x - 42.80| = 12

Step-by-step explanation:

The absolute value |x - a| = b means either x - a = b or x - a = -b

Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.

Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:

x = 42.80 + 12; or x = 42.80 - 12

Hence:

x - 42.80 = 12; or x - 42.80 = -12

|x - 42.80| = 12

Tyler is making hiking snacks. He has 3 bags and puts 1 1/4
pounds of trail mix in each bag.3 • 1 1/4 =

Answers

Answer:

3 3/4 i think

Step-by-step explanation:

If h(x) = 2x2 − 10, find h(3)

Answers

Answer:

8

Step-by-step explanation:

Plug in 3 for x and simplify

2(3)^2 - 10

18-10

=8

Answer: 8

Step-by-step explanation:

h(3) = 2x^2 - 10

h(3) = 2(3)^2 - 10

h(3) = 2(9) - 10

h(3) = 18 - 10

h(3) = 8

What is true regarding two adjacent arcs created by two intersecting diameters? They always have equal measures. The difference of their measures is 90°. The sum of their measures is 180°. Their measures cannot be equal.

Answers

Answer:

The sum of their measures is 180°

Step-by-step explanation:

In the case when the similar circles are intersected to each other having two diameters so the following conditions would be considered as true

1. The arcs that are opposite would be equal

2. The sum of adjacent arcs would be 180 degrees

3 And, the sum of all arcs would be 360 degrees

So according to the given situation, the third option is correct

And, the rest of the options are incorrect

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