Solving a System of Linear Equations Using the Graphing
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Solve the system of linear equations by graphing.
2r+3y = 169
5r=y+74
What is the solution to the system of linear equations? Round to the nearest tenth as needed.

Answers

Answer 1

9514 1404 393

Answer:

  (r, y) = (23, 41)

Step-by-step explanation:

See the attachment for the solution.

Solving A System Of Linear Equations Using The GraphingCalculatorSolve The System Of Linear Equations
Answer 2

Answer:

The solution is (22.8, 40.1)

Step-by-step explanation:

Transform the equations to 'y = '

2r + 3y = 169

3y =  -2r + 169

y = -2/3 r + 169/3

5r = y + 74

y = 5r - 74.

Now you can use the calculator to draw the graphs or use the equation facility if it has one.

Where the graphs intersect is the solution.


Related Questions

For a party, you order 4 XXL pizzas & 2 boxes of breadsticks from Rock Star Pizza for $86. You return and order 6 XXL pizzas & 4 boxes of breadsticks for $132.50. How much does each item cost?

Answers

Answer:

XXL = $19.75

Box of Breadstick = $3.5

Step-by-step explanation:

Given that:

Let :

cost per XXL pizza = x

Cost per box of bread stick = y

4x + 2y = 86 - - - (1)

6x + 4y = 132.50 - - - (2)

From (1): Divide (1) by (2)

2x + y = 43 - - - (3)

y = 43 - 2x

Substitute y = 43 - 2x into (2)

6x + 4(43 - 2x) = 132.50

6x + 172 - 8x = 132.50

-2x + 172 = 132.50

-2x = 132.50 - 172

-2x = - 39.50

x = $19.75

y = 43 - 2x

y = 43 - 2(19.75)

y = $3.5

You need to mix 3 pints of water and 13 pints of vinegar to make a cleaner. Which
choice is the smallest-sized bottle that will hold this mixture?

Answers

Answer:

2 gallon bottle is the smallest because it would be 16 pints of cleaner and that is equal to 2 gallons.

Write a ratio that can be expressed in lowest terms as 4:3

Answers

Answer:

12:9

/3 =

4:3

Step-by-step explanation:

How much does 3.75 kg of chocolate if 0.7 kg cost $4.20

Answers

3.75/0.7=5.3571
5.3571x4.20= 22.49

Answer:

$22.5

Step-by-step explanation:

4.20/7 is 6, so all you need to do next is 3.75*6, which is 22.5

I dont need the work i just the need the answer fast

Answers

Answer:

60

Step-by-step explanation:

you have to add 30 plus 30

Which expression is equivalent to -3+p?

Answers

Answer:

p - 3

Step-by-step explanation:

[tex] - 3 + p = p - 3[/tex]

Need help on this, please

Answers

Answer:

A

Step-by-step explanation:

7(x+4)<= 2(x-5)+3(x+9)

7x+28<= 2x-10+3x+27

7x+28<= 5x+17

-5x         -5x

2x+28<= 17

-28         -28

2x<= -11

/2      /2

x<= -5.5

write the expression in radical form.

Answers

i think it would be B
Answer: C

Explanation:

I added a photo please check it

Two circles are drawn in a rectangle of 6 by 4, such that the larger circle touches
three sides of the rectangle, whereas the smaller one only touches 2. Determine
the radius of the smaller circle.
I’ve already got the answer of 8-4sqt3, but would like the method :)

Answers

The radius of the smaller circle is 8 - 4√3 .

Radius of a circle is defined as any line joining the center and the circumference of the circle.

In the given figure we have to construct a few lines to solve the problem.

The complete diagram is attached below.

PQ is drawn joining the two centers of the circles.

PB⊥AD is drawn.

RQ⊥PB is drawn.

Now from the circle Q , QC = r (given) ∴ CD = r (same as radius)

Diameter of circle P is 4 , ∴ radius = 4 ÷ 2 = 2

Therefore AB = 2 ( radius)

Now AB + BC + CD = 6

or, 2 + BC + r = 6

or, BC = 4 - r

Therefore RQ = 4 - r

PQ = 2 + r (sum of both radius)

PR = PB - RB = 2 - r ( PB = QC )

Now in ΔPQR:

PR² + RQ² = PQ² (By Pythagoras theorem as ∠PRQ = 90°)

Substituting the values we get:

( 2 - r )² + ( 4 - r )² = ( 2 + r )²

or, 4 - 4r + r² + 16 - 8r +  r² = 4 + 4r + r²

or,  r² -16r +16 = 0

or,  r² - 2 × r × 8 + 8² = 8² - 16

or, (r - 8)² = 48

or, r - 8 = ± √48

or, r = 8 ± √48

or, r = 8 - 4√3

Now the value of r cannot be more than 8 hence the radius is

8 - 4√3 .

To learn more about radius visit:

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A contestant on a game show has 40 points. She answers a question correctly to win 20 points. Then she answers a question incorrectly and loses 35 points. What is the contestant's final score?

Answers

Answer:

25

Step-by-step explanation:

40+20=60

and 60-35=25

Answer:

25 points

Step-by-step explanation:

starts with 40

earns 20, so now she has 60

so she then loses 35

so now she has 25 points

40+20-35=?

40+20=60

60-35=25

Check: 25+35=60

Hope this helped!

A motorcycle engine is 600 cubic centimeters (600 cc). If 1 cm3 equals 1 mL of volume, how many liters are in the motorcycle engine? (Note: 1,000 mL = 1 L.)

Answers

Answer: motorcycle engine capacity = 0.6 L

Step-by-step explanation:

i did the assignment on edge...it is correct.

Have a great day ya'll!!

Answer:

0.6L

Step-by-step explanation:

did it on edge 2020 chemistry assignment

write 400.000+60.000+5.000+200+30+4 as a base-ten number​

Answers

4060520304;

I don't know if I am write or wrong

6/-24 in standard form​

Answers

Answer:

I don't know nothing its here

Step-by-step explanation:

please mark me as brainliest thank you

What is 293.61 in expanded form?

Answers

Answer:

293.61 =

 200  

   90  

       3  

  0.6

  0.01

Step-by-step explanation:

help please i need to know if it’s infinite many, no or what the solution is| 10x + y = 14
2x - y = -2

Answers

Answer:

x=1 and y=4

Step-by-step explanation:

10x+y=14

2x-y=-2

12x=12; x=1

put x in the problems and y is 4

Which statement does NOT correctly describe the order of operations (PEMDAS)?

Complete multiplication and division from left to right.

Complete parenthesis and exponents from left to right.

Addition and subtraction are always the last two operations to use in order of operations.

Complete addition and subtraction from left to right.
PLZ HELP FAST ILL GIVE BRAINLIEST

Answers

Complete parenthesis and exponents from left to right is NOT PEMDAS.
B is the Answer
“complete parenthesis and exponents from left to right”

A teacher wants to split 9 crayons between 5 students equally. How many will each student get?

Answers

Answer:

1 crayon each, because you can not have 1.8 crayons

Step-by-step explanation:

Out of the total 9 crayons, each student will get 1 crayon.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is a teacher who wants to split 9 crayons between 5 students equally.

A total of 5 students will have → 9 crayons

Then 1 student will have → 9/5 1.8 crayons.

Since crayons cannot be in fractions and the distribution should be equal among all students, therefore, each student will get 1 crayon and the remaining 4 cannot be divided equally among them.

Therefore, out of the total 9 crayons, each student will get 1 crayon.

To solve more questions on Unitary method, visit the link below-

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Which are perfect cubes? Check all that apply.
O 64
O x16
O 8x3
O 27x4
O 81x6
O 125x9

Answers

Answer:

64

8x3

125x9

Step-by-step explanation:

The answer for it on edge would be: A, C, and F

In a barrel of peaches, 15 are ripe and ready to eat out of the total barrel. The barrel contains 75% of ripe peaches. How many total peaches are in the barrel?

Answers

Answer:

20

Step-by-step explanation:

75% percent of 20 is 15

fiona interviewed her 30 classmates on whether or not they have sibling and if they have to assigned chores at home she displayed results in the table shown which statement is true

Answers

Answer:

its 23

Step-by-step explanation:

i took the test

Answer:

B) Half of her classmates have a sibling, and half do not.

Step-by-step explanation:

"Add totals for classmates who have chores and those who do not have chores for each group..

7 + 8 = 15

9 + 6 = 15"

When asked to dilate a shape By a scale factor of 1/3 will the shape become larger or smaller?

Answers

Answer:

No it gets smaller if a shape is dilated by the scale of 1/3.

Step-by-step explanation:

That's correct!

Hopes it helps;)

Corporate AAA bond interest rates for 12 consecutive months are 9.5%, 9.3%, 9.4%, 9.6%, 9.8%, 9.7%, 9.8%, 10.5%, 9.9%, 9.7%, 9.6% and 9.6%. What is the three-month weighted moving average forecast (with weights 0.2, 0.4 and 0.4 - from oldest to most recent respectively) for the next month, rounded to two decimal places?

Answers

Answer:

the three-month weighted moving average forecast is 9.62%

Step-by-step explanation:

The computation of the three-month weighted moving average forecast is shown below:

= Weight × rate of interest + Weight × rate of interest + Weight × rate of interest

= (0.2 × 9.7) + (0.4 × 9.6) + (0.4 × 9.6)

= 9.62%

Hence, the three-month weighted moving average forecast is 9.62%

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Mai runs 3 laps around the track in 4 minutes. How many laps per minute is
that?

Answers

Answer: 1.3 (Estimated)

Work: To find that out, I divided 4 minutes by 3 laps, and that's 1.333... In which I rounded that to 1.3.

The number of laps covered in 1 minute will be 1.3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mai runs 3 laps around the track in 4 minutes. The number of laps will be calculated as,

N = 4 / 3

N = 1.3 Lap

Therefore, the number of laps covered in 1 minute will be 1.3.

To know more about an expression follow

https://brainly.com/question/13848183

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Find f(6) if f(x) = x^2 ÷ 3 + x

Answers

Answer:

18

Step-by-step explanation:

6^2 / 3 + 6

36 / 3 + 6

12 + 6 = 18

Answer: 18

Step-by-step explanation:

(6)^2 / 3 + 6

36 / 3 + 6

18

which system of equations has the same soultion as the system below? 2x+2y=-4 4x+y=13

Answers

Answer:

The solution is ;  x = 5  and y= -7

Step-by-step explanation:

The two inequality equations are given as;

2x + 2y = -4 ------------{i}

4x  +  y = 13 ------------{ii}

Making the x terms equal by multiply equation {i} by 4 and {ii} by 2 to get

{2x + 2y = -4 } 4

{4x  +  y = 13 } 2

8x + 8y = -16

8x  + 2y =  26

        6y = -42

         y= -42/6

        y= - 7

Use y= -7 in the equation  4x + y = 13

4 x - 7 = 13

4x = 13 + 7

4x = 20

x= 20/4

x= 5

The solution is ;  x = 5  and y= -7

The wheels on A bike have a radius of 8.5 inches. If the wheels make 15 complete rotations, how far does the bike travel?

Answers

Hello!

[tex]\large\boxed{\text{D = 255pi in or 800.7 in}}[/tex]

Solve for the distance by solving for the circumference of the wheels:

C = 2rπ

C = 2(8.5)(π)

C = 17π

The wheels make 15 rotations, so multiply the circumference by 15:

17π × 15 = 255π or ≈ 800.7 inches



Calculate the AREA of the figure below. You may use the Area and Perimeter etool (Links to an external site.) or scratch paper to 

Answers

Answer:

64

Step-by-step explanation:

There are multiple squares and rectangles in this figure that needs to be broken apart. What your end goal is is to add up the area of each rectangle and square you dissected from this figure.

No further words, lets let my mouse-writing do the talking.

Answer:

Step-by-step explanation:

Area A: 6*2 = 12

Area B: 4*3 = 12

Area C: 10*4=40

Total                64

The top rectangle is A

The Middle rectangle is B

The Bottom rectangle is C

Sorry this just does not copy the way I wanted it to.

Given the vertex of a parabola is (-6, 8) and its focus is (-6, 10), find the equation.

Answers

Answer:

Step-by-step explanation:

If you plot the vertex and the focus, you'll see that the focus is 2 units above the vertex. That tells us 2 things: first, that the parabola opens upwards and, second, that the value of p in our equation is 2 (since p is the number of units between the vertex and the focus). The equation is:

[tex](x-h)^2=4p(y-k)[/tex] where h and k are the coordinates of the vertex and p is the number of units between the vertex and the focus. The vertex is given as (-6, 8), so h is -6 and k is 8. p is 2, so filling in we get:

[tex](x+6)^2=4(2)(y-8)[/tex] which simplifies down to

[tex](x+6)^2=8(y-8)[/tex]

Not sure in what form you need it, so I'll leave it like that and you may have to do some algebraic manipulation to get it into the form your teacher wants it in.

tom gets $12 off a box of chocolates original price is $48 what is the % discount

Answers

Answer:

original price is 48 dollars which is 100% cost. we know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Step-by-step explanation:

HURRRY PLEASE ANSWER I ONLY HAVE 5 MINN which expressions are equivalent to - 72 + (-6.5) + 2.5z + 4y - 1.5
select all that apply.
A. 4y - 8 - 4.52
B. - 8 + 4y + 4.52
C. - 4.5z + 4y - 8
D. - 8 + 4y + (-4.52)
E. 4y + (-4.5z) - 6.5

Answers

Answer:

fghwjklpkjqkhb cghdbhn bwn x wxhw hwbmx

Step-by-step explanation:

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