−6x + 3y = 18 4x − 3y = 6 is this infinite solution

Answers

Answer 1

Answer:

no

Step-by-step explanation:

Given the 2 equations

- 6x + 3y = 18 → (1)

4x - 3y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term , that is

- 2x = 24 ( divide both sides by - 2 )

x = - 12

Substitute x = - 12 into either of the 2 equations and solve for y

Substituting into (2)

4(- 12) - 3y = 6

- 48 - 3y = 6 ( add 48 to both sides )

- 3y = 54 ( divide both sides by - 3 )

y = - 18

There is 1 solution (- 12, - 18 )


Related Questions

PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound with a Tanzanian coffee blend that normally sells for $13.80 per pound to create 60 pounds of a coffee that can sell for $12.46 per pound. How many pounds of each kind of coffee should they mix? Answer: They must mix ________ pounds of the Gualtemala Antigua Blend ________pounds of the Tanzanian Blend. (Round your answers to the nearest whole number of pounds.)

Answers

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23  (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

Describe the graph of y > mx, where m > 0. Plz wright it in your own words I do not want a "Sample Response" if it is I will not thank you and I will report you

Answers

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?

Answers

Answer:

6

Step-by-step explanation:

Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:

$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$

The last digit to appear in the units position of a number in the Fibonacci sequence is $6.

The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].

The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.

Learn more here:

https://brainly.com/question/13247630?referrer=searchResults

Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y

Answers

Answer:

3x+33y= -420

x+140= -11y

Step-by-step explanation:

x= -11y-140

y +7x=23

7x=23-y

x=23/7 - y/7

y+11x=140

11x=140-y

x=140/11 - y/11

2x-22y=-140

2x=-140+22y

x=-140/2+22y/2

x=-70+11y

3x+33y=-420

3x=-420-33y

x=-420/3 - 33y/3

=-140-11y

x=-140-11y

x+140=-11y

x=-11y-140

Answer:

The bottom 2

3x + 33y = –420

x + 140 = –11y

Step-by-step explanation:

Edge 2020

liz buys 17 identical tickets for £208.25 estimate the cost of one ticket

Answers

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]

£12.25 should be the correct answer.

£12.25 just divide 208.25 by 17

Hey u! I need help simplify this expression

Answers

6x^2
y^3
Hope this helped, correct me if I am wrong
8x :) Dont thank me, just trying to help! xx

Help a chick out only if u know what u doing

Answers

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Divide £506 in the ratio 2:4:5

Answers

Answer:

£92 , £184 and £230

Step-by-step explanation:

Total = £506

Ratio = 2:4:5

Total Parts: 2+4+5 = 11

Part 1:

=> [tex]\frac{2}{11}* 506[/tex]

=> 2 * 46

=> £92

Part 2:

=> [tex]\frac{4}{11}* 506[/tex]

=> 4 * 46

=> £184

Part 3:

=> [tex]\frac{5}{11}* 506[/tex]

=> 5 * 46

=> £230

Answer:

Step-by-step explanation:

£506

2+4+5=11

506/11=46

2x46=£92

4x46=£184

5x46=£230

92+184+230=£506

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Answers

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

-5n + 13

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .

Answers

Answer:  Area = 26π + 20 cm²

Step-by-step explanation:

There are 2 large semicircles = 1 large circle

There are 2 small semicircles = 1 small circle

There is 1 rectangle.

Find the Area of each shape above and then find their sum.

1) Large Circle: A = πr²,    d = 10 --> r = 10/2 = 5

                     A = π(5)²

                        = 25π

2) Small Circle: A = πr² ,    d = 2  --> r = 2/2 = 1

                     A = π(1)²

                        = π

3) Rectangle: A = length × width,     L = 10  w = 2

                      A = 10 × 2

                         = 20

Total = Large + Small + Rectangle

         = 25π   +    π      +  20

         = 26π + 20

I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

Answers

A line because it continues on forever.

Simplify: -8y-(x-4x) + 3y

Answers

Answer:

-5y+3x

Step-by-step explanation:

-8y-(x-4x) + 3y

= -5y-(x-4x)

= -5y+3x

Answer: -5y+3x

Step-by-step explanation:

Work out m and c for the line: y = x + 4

Answers

Answer:

Step-by-step explanation:

What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

please help, it is maths, brainliest will be given

Answers

Answer:

V = 1330.5 cm³

Step-by-step explanation:

Diameter = 11 cm

Radius = 5.5 cm

Height = 14 cm

Now, The volume:

Volume of Cylinder = [tex]\pi r^2h[/tex]

V = [tex](3.14)(5.5)^2(14)[/tex]

V = [tex](3.14)(30.25)(14)[/tex]

V = 1330.5 cm³

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is equal to πr²h.

Where r is the radius and h is the height.

The diameter is 11 cm, so the radius will be 5.5 cm.

π(5.5)²(14)

π(30.25)(14)

423.5π = 1330.464489

Rounded to 1 decimal place will be 1330.5 cm³.

which rule would best describes this pattern 8,4,10,6,12,8,14

Answers

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

The following table shows the salary of 7 people in an office last year. Name Income Andy £9500 Bevan £25000 Cheryl £11250 Deva £72000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

Step-by-step explanation:

a. Andy = £9500

Bevan = £25000

Cheryl = £11250

Deva = £72000

Elliott = £12750

Frankie = £29500

Grace = £11000

Total Income = £171,000

To get the mean Income, we divide the total income gotten by 6 which is the number of people. This will be:

= £171,000/7

= £24428.57

b. If Deva's income is excluded, there'll be 6 people left.

Andy = £9500

Bevan = £25000

Cheryl = £11250

Elliott = £12750

Frankie = £29500

Grace = £11000

Total income = £99000

Mean income = £99,000/6

= £16,500

Jerry uses an exercise program to help him eventually do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week. Show your work. a) In which week does Jerry expect to reach his goal? b) What is the total number of push-ups he will have done when he reaches his goal?

Answers

Answer:

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

[tex]t_{n}=a+(n-1)d[/tex]

Compute the value of n as follows:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

Compute the sum as follows:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

    [tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.

What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27

Answers

Answer:

15

Step-by-step explanation:

3a+9=54

-9        -9

3a=45

:3     :3

a=15

Answer
15
Step by step explanation
3a + 9 = 54
3a = 54-9
a = 45/3
a = 15
Hope it helped
Put your comments below

30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?

Answers

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104

Answers

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

What is the hire purchase of a stove purchased through 24 monthly
payments of J$2,000 and a deposit of J $950?*

Answers

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

Hi. Can somebody help me with this problem

Answers

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)

Answers

Answer:

(f+g) (x)=4x^2+3x/2-7

Step-by-step explanation:

f(x)= x/2-3 and g(x)=4x^2+x-4

(f+g) (x)=?

(f+g) (x)=f(x)+g(x)

(f+g) (x)=x/2-3+4x^2+x-4

combining like terms

(f+g) (x)=4x^2+x/2+x-3-4

(f+g) (x)=4x^2+3x/2-7

hope it helps. Brainliest please

Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14

Answers

Answer:

[tex]7/12[/tex]

Step-by-step explanation:

[tex]3/8=0.375[/tex]

[tex]5/10=0.5[/tex]

[tex]7/12 \approx 0.58333333333[/tex]

[tex]6/14 \approx 0.42857142857[/tex]

Therefore, 7/12 is the closest to 1 than 0.

What is the question?

Answers

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23,4)

Step-by-step explanation:

x-5y=3

 +5y=+5y

    x=3+5y

-- Plug that into X for the other Equation

2(3+5y)-5y=26

Solve for y

2(3+5y)-5y=26

Distribute the 2

6+10y-5y=26

Simplify

6+5y=26

-6     =-6

5y=20

(divide by 5)

y=4

plug 4 in the either equation and solve for x

x-5(4)=3

x-20=3

+20=*20

X=23

Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.

Answers

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

(10.05 LC)

If sin(x) =½
what is cos(x) and tan(x)? Explain your steps in complete sentences. (10 points)

Answers

Answer:

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

[tex]c^2 = a^2+b^2[/tex]

[tex]a^2 = c^2-b^2[/tex]

base ² = 4-1

base² = 3

Taking square root on both sides

Base = [tex]\sqrt{3}[/tex]

Now

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Answers

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

Please please help guys

Answers

Answer:

234.85

Step-by-step explanation:

This was easy!!!

(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!

Answer: C. $234.85

Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month)  = $234.85 (how much the gardener made)

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