Two numbers have a difference of 13. The sum of twice one number and 3 times the other number is 1. Write a system of equations and solve the system to find the two numbers. You need not show 7 steps for this problem. Just show the system, solve the system, and write the two numbers.

Answers

Answer 1

Answer:

first number = 8

second number = -5

Step-by-step explanation:

Let

x = first number

y = second number

Two numbers have a difference of 13.

x - y = 13

The sum of twice one number and 3 times the other number is 1

2x + 3y = 1

x - y = 13 (1)

2x + 3y = 1. (2)

From (1)

x = 13 + y

Substitute into (2)

2x + 3y = 1.

2(13 + y) + 3y = 1

26 + 2y + 3y = 1

26 + 5y = 1

5y = 1 - 26

5y = -25

y = -25/5

y = -5

Substitute y = -5 into (1)

x - y = 13

x - (-5) = 13

x + 5 = 13

x = 13 - 5

x = 8

Answer 2

The obtained number is 12. And the system of equations is 2c + 4p = 40

How to solve system of equations ?

Although each chicken has two legs and each pig has four legs, the total number of animal legs is:

2c + 4p = 40

Once we simplify the above equation, we get

c + 2p = 20

We also know that there are 16 animal heads in total, which can be expressed as:

c + p = 16

We can solve for "c" that use these two equations.

Once we multiply the second equation by 2, we get:

2c + 2p = 32

Once we subtract this equation from that, we get:

2p = 8

Once we solve for "p," we get:

p = 4

Substituting this "p" value into the second equation yields:

c + 4 = 16

Once we solve for "c," we get:

c = 12

As an outcome, your parents hold 12 chickens.

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Related Questions

PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2

Answers

Answer:

f(g(x)) = (5x)^2 = 25x^2

Step-by-step explanation:

If f(x) = x^2 and g(x) = 5x, then

f(g(x)) = (5x)^2 = 25x^2

se lanza una pelota verticalmente hacia arriba con una velocidad de 5m/s ¿cuál es el tiempo que dura la pelota en el aire?​

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I don’t speak the language you speaking

Is it a function? Explain

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Answer:

Yes.

Step-by-step explanation:

For a graph to be a function, it must have precisely one y-value for every x-value.

In this case, this graph is a function because it meets the requirements of having one y-value for every x-value.

Let me know if this helps!

Identify the following as perfect squares, difference of squares, or trinomials.

Answers

It is a trinomial because it has three terms and it is not a perfect square nor a difference of squares.

if the price continues to rise at a constant rate each year, what will be the price of a concert ticket in 2020?

Answers

Answer:

77.00

Step-by-step explanation:

the price is going by 1.50 a year so it would be 77.00 in 2020

(x – 7x4 + 6) + (8x4 – 6 – 5x)

Answers

Answer:

The answer is x^4 - 4x

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

If d = 5, then
d3 equals

Answers

15, because 5 times 3 is 15. Have a good rest of your day/night!!

Answer:

15

Step-by-step explanation:

Multiply 5 by 3, 15

d=5

d3= 5(3)

5(3)=15

How do you get to the point (-3.4)? *
O Right 3 Up 4
Left 3. Up 4
Down 3. Right 4
O Up 3 Right 4

Answers

Answer:

3 down, 4 up

Step-by-step explanation:

-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.

Always start with you X coordinate. Here is a tip to help you (X, Y)

Perform the following operation and express the answer in scientific notation. 6.900x1010 = 4.000x108 [?]x10 Coefficient (green) Exponent (yellow) Enter​

Answers

9514 1404 393

Answer:

  1.725×10²

Step-by-step explanation:

Your calculator or a spreadsheet can format the result of this division in scientific notation for you.

For the powers of 10, the applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

__

  [tex]6.900\times10^{10}\div4.000\times10^8=\dfrac{6.9}{4}\times10^{10-8}\\\\=\boxed{1.725\times10^2}[/tex]

please can someone actually help me with this! ( fake answers will be reported)

Answers

IF I remember correctly:
A circle is 360 degrees.
360-280=80
Y=80
110 80
—- • ——
7 x

Cross multiply
110x=560
X=approximately 5.1
Plz don’t report I’m not sure if I did it right.
Only use this as a last choice or if u have several try

how to solve this one​

Answers

A dotted line is not included in the solution so there is no equal sign.

The blue area is to the right of the dotted line so the solution is >

The line crosses the x axis at -2

The answer is : x-y > -2

Find the GCF of 14x and 18xy​

Answers

Answer:

2x

Step-by-step explanation:

first find the GCF of 14 and 18

2

and then find the GCF of x and x

x

= 2x

hope it's helpful ❤❤❤❤

THANK YOU.

#

The greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.

What is LCM?

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The GCF of 14x and 18xy​

As we know, GCF is the greatest common factor.

The greatest common factor of 14 and 18 or

GCF(14, 18) = 2

And the greatest common factor of GCF of x and xy

= x

the greatest common factor of 14x and 18xy is:

= 2x

Thus, the greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.

Learn more about the LCM here:

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Show work Plss oooooooo

Answers

Answer:

22.5 mins

Step-by-step explanation:

To find what that video's length must be, subtract the previous videos' lengths from the requirement, 5 hours. (x is the video length of her fourth video)

7/8 + 1 1/4 + 2 1/2 + x = 5

To make adding these fractions easier, find a common denominator.

7/8 + 1 2/8 + 2 4/8 + x = 5

4 5/8 + x = 5

x = 3/8, or 22.5 minutes.

Answer:

[tex]\frac{3}{8} \text{ hours.}[/tex]

Step-by-step explanation:

Her first three videos totalled up to

[tex]\frac{7}{8} + 1\frac{1}{4} + 2\frac{1}{2}\\=\frac{7}{8} + \frac{5}{4} + \frac{5}{2}\\=\frac{7}{8} + \frac{5}{4} \cdot \frac{2}{2} + \frac{5}{2} \cdot \frac{4}{4}\\=\frac{7}{8} + \frac{10}{8} + \frac{20}{8}\\=\frac{7+10+20}{8}\\=\frac{37}{8}[/tex]hours. To meet the [tex]5 = \frac{40}{8}[/tex] hour goal the shortest fouth video she can make is [tex]\frac{40}{8} - \frac{37}{8} = \frac{3}{8}[/tex] hours, because if the fourth video was any shorter, she'd end up with less than [tex]\frac{37}{8} + \frac{3}{8} = \frac{40}{8} = 5[/tex] hours in total (this is called a proof by contradiction). We are now done.

PLSSS HELP IT'S THE LAST QUESTIONN 11. A ladder is leaning against the side of a house. If the ladder's base is 10 feet from the base of the house and the top of the ladder is 7.5 feet above the ground, how long is the ladder?​

Answers

Answer:

17.5 is the correct answer

Answer:

12.5 ft

Step-by-step explanation:

7.5 squared and 10 squared

you add both of the squared numbers and then do the sqaure root of that number

A Kindergarten teacher observes that 65% of her students arrive in her class knowing the
alphabet letters. If she takes a random sample of 17 students, what is the probability that
10 will know their alphabet?

Answers

Answer:it is most lickley.

Step-by-step explanation:

There is a 58 percent out of those 17 people

Please help me! I need an answer before 3:30!

Answers

Answer:

2

Step-by-step explanation:

Answer:

LCM: 1

Step-by-step explanation:

1/2 and 1/4

so we want to find a multiple.

double both we get:

1 and 1/2

but then what if we just double 1/2?

1 and 1 :OOOOO

LCM IS 1

but it's 6:18 P:M for me?


Which of the following ordered pairs
make this equation true?
y = 3x - 2
A. (7,3)
B. (2,4)
C. (13,5)
D. (-1,5)

Answers

Answer:

B

Step-by-step explanation:

What does it mean to "rick roll?"

Answers

Rickrolling is when you troll someone on the internet by linking to the music video for Rick Astley’s 1987 hit song “Never Gonna Give You Up.” It is, by far, the most popular example of bait-and-switch linking.

Answer: trolling people by surprising everyone with never gonna give u up or something

Step-by-step explanation:

I REALLY NEED HELP!!

Find the area of the composite figure

Answers

Answer:

I honestly don't know how to solve anything like this but my best guess is 135

Step-by-step explanation:

I used the area of a circle formula to find the area of the two semi-circles, and then added it to the area of the rectangle. (Once again, I really do not know xD)

please help me. i don't remember how to do this stuff so please explain it.

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Answer:

which class are you read in?

actually don't know ans

Step-by-step explanation:

hope it's helpful to you

gud nyt

sweet dreams

Answer:

ncnggvbbjhgujgkgcffjd7jh

The square of the difference between a number and 10.​

Answers

Answer:

an integer

Step-by-step explanation:

it is the correct answer

Interger hope this helps you

I need help with this ASAP

Answers

Answer:

id.k sorry

Step-by-step explanation:

I wish I could help but there are more math apps that could help

1 4/8 + 2 2/8 = plzzzzzzzzzzzzzzzzzzzzzz

Answers

Decimal form: 3.75
hope thst helps

Answer:

15/4

hope it's helpful ❤❤❤❤

THANK YOU.

#

Order the following from LEAST to GREATEST: -0.9, -4/5, -1/4, -1/2, -7/10

Answers

-0.9, -4/5, -7/10, -1/2, -1/4

Answer:

The answer is -0.9, -4/5, -7/10, -1/2, -1/4.

Step-by-step explanation:

-4/5 = -0.80

-7/10 = -0.7

-1/2 = -0.5

-1/4 = -0.25

What is 5x - 3y when x equals negative 2 and Y equals 6

Answers

Answer:

-28

Step-by-step explanation:

We have the equation [tex]5x-3y[/tex] and are given that [tex]x=-2, y=6[/tex].  To solve this equation, we simply replace the variables with their real value.  In action, this would be [tex]5(-2)-3(6)=-10-18=-28[/tex].

A bicycle shop normally sells for 569.99. it is now on sale for 30% off. As an employee. Johnny is able to save an extra 15% off the sale price. How much, to the nearest dollar, would Johnny need to pay for the bicycle?

Answers

Answer:

$339.14

Step-by-step explanation: 569.99 * 30%=171.

569.99-171.=398.99

398.99*15% = 59.85

398.99-59.85=339.14

Which one is it ? (You cannot click it ) (22 points)!

Answers

Answer:

the answer is 0.01 your welcome

9) Andres needs to save $97.50 for the seventh grade field trip. He has 15 weeks to save the money. If he saves the same amount of money each week, how much money must Andres save​

Answers

Answer:

6.5

Step-by-step explanation:

97.50 divided by 15=6.5

1.8+ (-6)

How would I solve this? I need help

Answers

Answer:

-4.2

Step-by-step explanation:

1.8+ (-6)

Answer: -4.2


Explain: 1.8-6

Helllllllllp. Please

Answers

Answer:

Orange area

area=x^2+x-12

Step-by-step explanation:

width=x+3

length=x-4

area=width x length

area=(x+3)(x-4)

area=x^2-4x+3x-12 = x^2+x-12

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