What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the next question. You have 3 unknowns and only 2 equations so you can have the variable "a" in your solution

Answers

Answer 1

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

Answer 2

Answer:

{([tex]\frac{6}{a}[/tex],12)}

Step-by-step explanation:

[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]

[tex]5ax = 30[/tex]

[tex]x = \frac{6}{a}[/tex]

[tex]a(\frac{6}{a}) + y = 18[/tex]

6 + y =18→y=12

[tex]4a(\frac{6}{a}) - 12 = 12[/tex]

6 - 12 = 12 → 12 = 12 true  x=[tex]\frac{6}{a}[/tex]  y=12


Related Questions

Find the volume of the prism

Answers

Answer:

do you have an image for that?

Step-by-step explanation:

Type the correct answer in each box. Use numerals.
Solve the given system of equations.
2y = -x + 9
3x - 6y = - 15
The solution to the system is ( __ , __ )

Answers

2y=-x+9
6y=3(-x+9)

3x-3(-x+9)=-15
3x-(-3x+27)=-15
3x+3x-27=-15
6x=-15+27
6x=12
x=2

2y=-2+9
2y=7
y=7/2

Answer is (2 ; 7/2)

change the fraction 2/5 to a percent

A. 25%
B. 40%
C. 7%
D. none none of these choices are correct​

Answers

2/5 make denominator 100
2/5 = 40/100 = 40%

Answer: B

Step-by-step explanation:

Which one is bigger 1 3/5 or 1.9

Answers

Answer:

1.9

Step-by-step explanation:

1 3/5 is the same as 1.6. So, which ones bigger? 1.9.

1.9 because 1 3/5 becomes 1.6 and 1.9 is bigger than 1.6

What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%

Answers

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

What is the Equation of this Trend line

K=_ J+_

Answers

Answer:so the standard form is y = mx + b

m is the slope (rise/run)

b is the y-intercept or where the slope intercepts the y-axis

so you end up with

k = (4/-2)j + 24

simplify this to

k = -2j + 24

Step-by-step explanation:

In which quadrant does the given point lie?

(-1,5)

Answers

it is in quadrant number 2

how many miles are in 50 meters​

Answers

Answer:

0.0310686

Step-by-step explanation:

ANSWER 0.0310686

Step-by-step explanation:

Eh- :P

Please help!!!!!!!!!!​

Answers

Convert into percent
406/100 = 406%

Answer:

406%

Step-by-step explanation:

cuz google says so

which is a characteristic of any function created by the product of two linear factors?

A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts

Answers

Answer:

the answer is d

Step-by-step explanation:

The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

Read more;

https://brainly.com/question/11869216

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?

Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4

Answers

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

what is the remainder of 58,511 divided by 21, the quotient is 2,786 R

Answers

Answer:

the remainder is 5. 2,786 R 5

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

------------------------

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

I need help and thanks in advance

Answers

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.

help! open the attachment below!

Answers

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

which is bigger? 2 or -3 please help!!

Answers

2 is bigger because -3 is below 0

find two number closest to 5000 that are divisible by 36,21,and 12​

Answers

1,008 hope this helps

If someone could help me out here it would be greatly appreciated.

Answers

Answer:

k=45

Step-by-step explanation:

the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.

what is the sqaure root of (x-3/7) divided by 12x+7 divided by 76.3x?

Answers

Answer:

[tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Step by step:

[tex]\sqrt{x-\frac{3}{7}[/tex] = [tex]\sqrt{\frac{49x-21}{7} }[/tex]

[tex]\sqrt{\frac{49x-21}{7} }[/tex] ÷ 12x+7=[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex]

[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex] ÷ 76.3x = [tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Hope this helps!

Find the cardinal number of the given set.


A = {{3, 5, 7, ... 25}}

Answers

Answer:

12

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?

Answers

40

1000/25=40

You’re welcome

The number of books that can be fit on a shelf is 1 meter long and will be 40.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm

Answers

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]



Travis made a business trip of

195.5 miles. He averaged

53 mph for the first part of the trip and

58 mph for the second part. If the trip took

3.5 hours, how long did he travel at each rate?

Answers

Answer:

At 53 mph, he traveled for 1.5 hours

At 58 mph, he traveled for 2 hours

Step-by-step explanation:

Mathematically;

distance = speed * time

let the time for the first part of the trip be x hours and the second part be y hours

Total hours is 3.5

So therefore;

x + y = 3.5 ••••••••(i)

Now let’s work with the rate

53 mph for x hours = 53 * x = 53x miles

58 mph for y hours = 58 * y = 58y miles

Adding both;

53x + 58y = 195.5 miles ••••••••(ii)

We have two equations to solve simultaneously

From i, x = 3.5 - y

insert into ii

53(3.5-y) + 58y = 195.5

185.5 - 53y + 58y = 195.5

5y = 195.5-185.5

5y = 10

y = 10/5

y = 2 hours

x = 3.5 - y

x = 3.5 - 2

x = 1.5 hours

Write a equation
3. slope = 5, goes through the point (2,7)

Answers

Answer:

y=5x-3

Step-by-step explanation:

Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b

Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept

7=5(2)+b

Then you just solve for b

7=10+b

-10

-3=b

So the final equation is y=5x-3

The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

The standard equation of the line using the point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters

m =  5

(x0, y0) = (2, 7)

Substitute the given expressions into the formula as shown:

y - 7 = 5(x-2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

Learn more here: https://brainly.com/question/17003809

Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last

Answers

Answer:

The treats will last 12 days.

7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.


Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.


Rewrite the range of each company’s wireless access devices in feet using scientific notation.








You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.

Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.


really need this

Answers

Answer: what is the question asking?

Step-by-step explanation:

[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answers

new length = 30x110% = 33cm
new width = 20x105% = 21cm

original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108

increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%

PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST

Answers

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?

Answers

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water

Answers

Answer:

no

Step-by-step explanation:

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