Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.

2x+5y=16
-5x-2y=2

Answers

Answer 1

Answer:

[tex]\huge\boxed{(2,4)}[/tex]

Step-by-step explanation:

2x + 5y = 16 ------------------(1)

-5x -2y = 2   ------------------(2)

Multiplying (1) by 5

5(2x+5y) = 16*5

10x+25y = 80 ----------------(3)

Multiplying (2) by 2

2(-5x-2y) = 2*2

-10x - 4y = 4 -----------------(4)

Adding Eq. (3) and (4)

10x + 25y -10x -4y = 80 + 4

25y - 4y = 84

21y = 84

Dividing both sides by 21

y = 4

[tex]\rule[225]{225}{2}[/tex]

Now, Putting y = 4 in Eq. (1)

2x + 5(4) = 16

2x + 20 = 16

2x = 20 - 16

2x = 4

Dividing both sides by 2

x = 2

[tex]\rule[225]{225}{2}[/tex]

Ordered Pair = (x,y) = (a,b) = (2,4)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807
Answer 2

Answer: you’re 100% correct

Step-by-step explanation:I got this question right on my quiz


Related Questions

PLEASE HELP, WILL MARK BRAINLIEST! Solve for y when x = 2. y = 4x +2

Answers

y = 4(2) + 2

= 8 + 2 = 10

Answer : y = 10

Answer:

10

Step-by-step explanation:

Given

y = 4x + 2 ← substitute x = 2 into the equation

y = 4(2) + 2 = 8 + 2 = 10

How do u solve b=f^2 A+ 2H A awnser for A

Answers

Answer:

Step-by-step explanation:

The easiest way to do this is to use the distributive property.

Put the brackets around the terms on the right.

b = (f^2 * A +  2HA)

A is a common factor on the right.

b = A * (f^2 + 2H)

Now divide by f^2 + 2H

b/(f^2 + 2H) = A

Find the image of (-6,1) after a translation of 3 units left.

Answers

Answer:  (-9, 1)

You subtract 3 from the x coordinate. The y coordinate stays the same.

The rule is [tex](x,y) \to (x-3, y)[/tex]

If 2 pounds of halibut cost $16 what is the unit rate for 1 pound

Answers

Answer:

so it should cost dollar of 8

how do you write this in number form six million, one hundred thirty-nine thousand, four hundred sixty-eight

Answers

Answer:

6,139,468

Step-by-step explanation:

do the ones tens thpusand place value. write out all the numbers in order then for every 3 numbers put a comma

5 less than a number is equivalent to 1 more than three times the number

Answers

Answer:

x - 5 = 3x + 1

-6 = 2x

x = -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

help please!!!!!!!!!!!!!!!

Answers

Answer:

the answer is B

domain real number

range y<= 3

Answer:

The answer is B

Step-by-step explanation:

The domain is -infinity < × < infinity as you can see both sides of the arrows on the x axis expand infinitely.

The range is y is equal and less than 3 as the highest point on the y axis is 3, and faces downwardly.

exprees 24,36 as sum of two odd prime number​

Answers

Answer:

see explanation

Step-by-step explanation:

The set of the first few prime numbers are

2,  3,  7,  11,  13,  17,  19,  23 ...............

Considering the odd primes, then

24 = 7 + 17

36 = 13 + 23

x is a positive integer.
35 + x is a positive integer.
Work out the four possible values of x.

Answers

Answer:

it is 35

Step-by-step explanation:

anything can be the value of x

What is -23/6 - -7/3?

Answers

Answer:

- 1 1/2

Step-by-step explanation:

- 23/6 + 7/3

LCD = 6

- 23/6 + 14/6

(- 23 + 14)/6

- 9/6

- 3/2

- 1 1/2

Answer:

What is  -23/6 - 7/3?

✔ –37/6

Step-by-step explanation:

I got this right on edge 2021

Hope this helps!

:D

Help please it would help me

Answers

Answer:

-4 - (-9) = 5

4- (-3) = 7

-4 - (-9)= 5
4 - (-3) = 7

Lin runs for 25 seconds at 8.2 meters per second. what is her finish point

Answers

Answer:

205m

Step-by-step explanation:    25 x 8.2mps is 205m

25 seconds at 8.2 meters per second

8.2 m/s  x  25 s = 205 m

3. What word phrase can you use to represent the following algebraic expression: 7x + 4?
A number x times the sum of seven and four
b. The sum of seven times a number x and four
С. Seven times the sum of a number x and four
d. Four times the sum of a number x and seven

Answers

answer:
B

explanation:
7x + 4 means you are adding 7 times x and four

What is the measure of angle A?

Answers

Answer:

B

Step-by-step explanation:

Same side interior angles

180-110=70

Oh nvm lol someone else got it

If point P(4, 7) is on line l, what is the equation of line l in point-slope form?

Answers

Answer: (y - 7) = M*(x - 4)

Step-by-step explanation:

Point-slope form is written as:

y - y1 = M*(x - x1)

where M is the slope, and the point is (x1, y1)

In this case we only know the point, so we can write this as:

(y - 7) = M*(x - 4)

Where the value of the slope is not known, then we have infinite possible lines defined in that equation


1-Em um sítio há 12 árvores. Cada árvore possui 12 galhos e em cada galho tem 12 maçãs. Quantas maçãs existem no sítio?
2-Um grupo de biólogos está estudando o desenvolvimento de uma determinada colônia de bactérias e descobriu que sob condições ideais, o número de bactérias pode ser encontrado através da expressão
N(t) = 2000.20,5t, sendo t em horas.
Considerando essas condições, quanto tempo após o início da observação, o número de bactérias será igual a 8192000?
3-O sindicato de trabalhadores de uma empresa sugere que o piso salarial da classe seja de R$ 1 800,00, propondo um aumento percentual fixo por cada ano dedicado ao trabalho. A expressão que corresponde à proposta salarial (s), em função do tempo de serviço (t), em anos, é s(t) = 1 800. (1,03) t.
De acordo com a proposta do sindicato, o salário de um profissional dessa empresa com 2 anos de tempo de serviço será, em reais?
4- Represente em forma de logaritmo.
a) 8³= 512
b) 25²= 625
c) 24³= 13824
5- Escreva o log8 6 usando logaritmo na base 2.

6-Atribuindo para log 2 o valor 0,3, então os valores de log 0,2 e log 20 são, respectivamente?

Answers

1-Em um sítio há 12 árvores. Cada árvore possui 12 galhos e em cada galho tem 12 maçãs. Quantas maçãs existem no sítio?

2-Um grupo de biólogos está estudando o desenvolvimento de uma determinada colônia de bactérias e descobriu que sob condições ideais, o número de bactérias pode ser encontrado através da expressão

N(t) = 2000.20,5t, sendo t em horas.

Considerando essas condições, quanto tempo após o início da observação, o número de bactérias será igual a 8192000?

3-O sindicato de trabalhadores de uma empresa sugere que o piso salarial da classe seja de R$ 1 800,00, propondo um aumento percentual fixo por cada ano dedicado ao trabalho. A expressão que corresponde à proposta salarial (s), em função do tempo de serviço (t), em anos, é s(t) = 1 800. (1,03) t.

De acordo com a proposta do sindicato, o salário de um profissional dessa empresa com 2 anos de tempo de serviço será, em reais?

4- Represente em forma de logaritmo.

a) 8³= 512

b) 25²= 625

c) 24³= 13824

5- Escreva o log8 6 usando logaritmo na base 2.

6-Atribuindo para log 2 o valor 0,3, então os valores de log 0,2 e log 20 são, respectivamente?

Answer:



Step-by-step explanation:



1-Em um sítio há 12 árvores. Cada árvore possui 12 galhos e em cada galho tem 12 maçãs. Quantas maçãs existem no sítio?

2-Um grupo de biólogos está estudando o desenvolvimento de uma determinada colônia de bactérias e descobriu que sob condições ideais, o número de bactérias pode ser encontrado através da expressão

N(t) = 2000.20,5t, sendo t em horas.

Considerando essas condições, quanto tempo após o início da observação, o número de bactérias será igual a 8192000?

3-O sindicato de trabalhadores de uma empresa sugere que o piso salarial da classe seja de R$ 1 800,00, propondo um aumento percentual fixo por cada ano dedicado ao trabalho. A expressão que corresponde à proposta salarial (s), em função do tempo de serviço (t), em anos, é s(t) = 1 800. (1,03) t.

De acordo com a proposta do sindicato, o salário de um profissional dessa empresa com 2 anos de tempo de serviço será, em reais?

4- Represente em forma de logaritmo.

a) 8³= 512

b) 25²= 625

c) 24³= 13824

5- Escreva o log8 6 usando logaritmo na base 2.

6-Atribuindo para log 2 o valor 0,3, então os valores de log 0,2 e log 20 são, respectivamente?

Answer:



Step-by-step explanation:



1-Em um sítio há 12 árvores. Cada árvore possui 12 galhos e em cada galho tem 12 maçãs. Quantas maçãs existem no sítio?

2-Um grupo de biólogos está estudando o desenvolvimento de uma determinada colônia de bactérias e descobriu que sob condições ideais, o número de bactérias pode ser encontrado através da expressão

N(t) = 2000.20,5t, sendo t em horas.

Considerando essas condições, quanto tempo após o início da observação, o número de bactérias será igual a 8192000?

3-O sindicato de trabalhadores de uma empresa sugere que o piso salarial da classe seja de R$ 1 800,00, propondo um aumento percentual fixo por cada ano dedicado ao trabalho. A expressão que corresponde à proposta salarial (s), em função do tempo de serviço (t), em anos, é s(t) = 1 800. (1,03) t.

De acordo com a proposta do sindicato, o salário de um profissional dessa empresa com 2 anos de tempo de serviço será, em reais?

4- Represente em forma de logaritmo.

a) 8³= 512

b) 25²= 625

c) 24³= 13824

5- Escreva o log8 6 usando logaritmo na base 2.

6-Atribuindo para log 2 o valor 0,3, então os valores de log 0,2 e log 20 são, respectivamente?

Answer:



Step-by-step explanation:



Which figure represents the image of parallelogram
LMNP after a reflection across the line y = x?
figure A
figure B
figure C
figure D

Answers

Answer:

correct choice is option 3 - figure C.

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:

L(3,1), M(4,3), N(5,3) and P(4,1).

Using the reflection rule, you can find coordinates of image points:

L'(1,3), M'(3,4), N'(3,5) and P'(1,4).

As you can see, these are coordinates of vertices of the figure C.

on e2020 its c

give brainliest if this helps please (;

Answer:

Figure C

Thanks for actually attaching a picture, it's helpful!

What is the area?
6cm
4cm

Answers

Answer:

24 cm²

Step-by-step explanation:

6 cm x 4 cm= 24 cm²

Answer:

I think you find it by multiplying the height times the width 6 times 4 = like 24

can someone do this one too pls

Answers

Answer:

31

Step-by-step explanation:

Well I'm pretty sure you just do 93 divided by 3 since three people can eat from one pizza

Answer:

32

Step-by-step explanation:  

      x96

1/3          96/3 (32)  

1               96

      x96

Multiply denominator and numerator by 96

Explain why it makes sense for this situation to have a linear equation

Answers

Answer:

The line of best fit for your specific question is a linear equation.

Step-by-step explanation:

A linear equation has a constant rate of growth/decline and the growth/decline rate will never change in an linear equation.

If you draw a line that approximately splits between all the data plots, you will notice the line you drew is very close to the data points.

If the data plots was a quadratic, it would be very hard to draw a line of best fit.

Linear equations can easily be identified in a graph because it is a straight line.

Perhaps insert this equation into your graphing calculator or other graphing software online (like Desmos): y = 3x+2

A quadratic equation can also easily be identified in a graph because, in most cases, it looks like a U.

Take these examples: y = [tex]3x^2+5x+2[/tex] or y=[tex]-2x^2+10x+30[/tex]

What is the slope of a line that is parallel to the line y = -1/5?

-1/5
0
5
undefined

Answers

Answer:

0

Step-by-step explanation:

just put b

The slope of a line parallel to the line y = -1/5, will be equal to the slope of this line. So, the slope m = 0.

What is the equation of a line?

The equation of a line is the representation of a line on a coordinate plane (x-y plane), which shows the relation between x and y, for every point on the particular line.

The standard form of a line is ax + by = c, where x and y are variables and a, b, and c are constants.

The slope-intercept form of a line is y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept of the line.

How are slopes of parallel lines related?

If the slope of two parallel lines is m1 and m2, then m1 = m2.

How do we solve the given question?

We are asked to find the slope of a line that is parallel to the line y = -1/5.

Writing this equation in the slope-intercept form: y = 0(x) + (-1/5)

Comparing the given equation to the slope-intercept form of a straight line, y = mx + b, we get slope of this line m = 0.

We are asked to find the slope of a line parallel to the line y = -1/5. Since the lines are parallel, the slopes of both lines are equal.

∴ The slope of the line parallel to y = -1/5 is 0.

Learn more about the equations of parallel lines at

brainly.com/question/13763238

#SPJ2

The lines below are perpendicular. If the green line has a slope of 3/4 what is the slope of the red line? Enter your answer as an integer or a fraction in
lowest terms.

Answers

Answer:

-4/3

Step-by-step explanation:

m1m2=-1

so 3/4*X= -1

3X=-4

x= -4/3

could you help me with this?​

Answers

Answer:

[tex]\huge\boxed{\text{1.}}[/tex]

She did the ratio of GIRLS to BOYS, while the question asked for the ratio of BOYS to GIRLS. Therefore she swapped her proportion and data can get mixed up when you swap them. It's always important to keep the proportion in the same way that it was asked.

[tex]\huge\boxed{2.}[/tex]

[tex]\text{15 to 13}[/tex]

[tex]\text{15:13}[/tex]

[tex]\frac{15}{13}[/tex]

Step-by-step explanation:

We have 13 girls and 15 boys in the class. Therefore we can represent this as [tex]\frac{g}{b} = \frac{13}{15}[/tex], where g is the number of girls and b is the number of boys. Now let's look at what the question is asking.

"She wrote the ratio of boys to girls in 3 ways."

Note: boys to girls. Our original proportion is currently at girls to boys. Therefore these proportions are swapped. We can see that she messed this up.

Therefore, we need to swap the values.

So 13 to 15 becomes 15 to 13

13:15: becomes 15:13

[tex]\frac{13}{15}[/tex] becomes [tex]\frac{15}{13}[/tex].

Hope this helped!

9. AMUSEMENT PARKS Nick goes to the amusement park to ride roller coasters, bumper
cars, and water slides. The wait for the roller coasters is 1 hour, the wait for the
bumper cars is 20 minutes long, and the wait for the water slides is only 15 minutes
long. Nick rode 10 total rides during his visit. Because he enjoys roller coasters the
most, the number of times he rode the roller coasters was the sum of the times he rode
the other two rides. If Nick waited in line for a total of 6 hours and 20 minutes, how
many of each ride did he go on?

Answers

Answer:

he rode the roller coaster 4 times the bumper cars 3 times and the water slide 4 hoped i helped

Step-by-step explanation:

The question is an illustration of a system of simultaneous equation

He rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.

Let:

[tex]b \to[/tex] bumper cars

[tex]r \to[/tex] roller coaster

[tex]w \to[/tex] water slides

He rode 10 total rides.

So:

[tex]b + r + w = 10[/tex]

The equation for the times he waited is:

[tex]r + \frac{20}{60}b + \frac{15}{60}w = 6\frac{20}{60}[/tex]

Simplify fraction

[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

The proportion of rides is:

[tex]r =b + w[/tex]

Substitute [tex]r =b + w[/tex] in [tex]b + r + w = 10[/tex] and [tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

[tex]b + b + w + w = 10[/tex]

[tex]2b + 2w = 10[/tex]

Divide through by 2

[tex]b + w = 5[/tex]

Similarly

[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]

[tex]b + w + \frac b3 + \frac w4 = \frac{19}3[/tex]

Multiply through by 12

[tex]12b + 12w + 4b + 3w = 4 \times 19[/tex]

[tex]16b + 15w = 76[/tex]

Make b the subject in [tex]b + w = 5[/tex]

[tex]b = 5 -w[/tex]

Substitute [tex]b = 5 -w \\[/tex] in [tex]16b + 15w = 76[/tex]

[tex]16(5 -w) + 15w = 76[/tex]

[tex]80 -16w + 15w = 76[/tex]

Collect like terms

[tex]-w = 76 - 80[/tex]

[tex]-w = -4[/tex]

[tex]w = 4[/tex]

Recall that:

[tex]b = 5 -w[/tex]

[tex]b = 5 - 1[/tex]

[tex]b =4[/tex]

Recall that:

[tex]r =b + w[/tex]

[tex]r = 1 + 4[/tex]

[tex]r = 5[/tex]

Hence, he rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.

Read more about simultaneous equations at:

https://brainly.com/question/16763389

is the number 4.46466 a rational number or irrational?

Answers

Answer:

Irrational

Step-by-step explanation:

I hope this helps you :)

The number 4.46466 is a rational number.

What are rational numbers and irrational numbers?

Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers

Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

Now,the given number is 4.46466 .

Here we see that digits after decimal 46466 stops,

hence the given number can be convert into fraction of the form a/b

So,

4.46466 = 446466 /100000

So 4.46466 can be expressed in the form of a/b

Therefore 4.46466 is rational.

To learn more about rational numbers and irrational numbers:

brainly.com/question/15267867

#SPJ2

Bill and his r friends each sold the same number of tickets. They sold 72 tickets altogether. How many tickets did each person sell?

Answers

Answer:

Each person sold 72/(r+1) tickets

Step-by-step explanation:

Bill  plus his r friends = r+1 people

Divide the number of tickets by the number of people to determine the number of tickets sold per person

Divide the 72 tickets by ( r+1)

Each person sold 72/(r+1) tickets

WILL GIVE BRAINLIEST!! Simplify
3 - 5 (-3n + 5)

Answers

Answer:Let's simplify step-by-step.

3−5(−3n+5)

Distribute:

=3+(−5)(−3n)+(−5)(5)

=3+15n+−25

Combine Like Terms:

=3+15n+−25

=(15n)+(3+−25)

=15n+−22

Answer:

=15n−22

Step-by-step explanation:  GIVE ME BRAINLIEST PLEASSEEE!!!!!

The answer is 15n-22

Explanation

3 -5 (-3n+5) (Distribute the -5)
-5 • -3n= 15n. -5 • 5= -25

3 + 15n -25 (Combine light terms)

15n - 22 (Final version)

px=y

x=4

p=12

y=___


Please help me out

Answers

Answer:

48

Step-by-step explanation:

12*4=48

Answer:

y = 48

Step-by-step explanation:

So we know that x = 4 and that p = 12

The equation is y = px <- From this equation, we need to plug in the values of x and p to find out the value of y:

y = px

... y = (12)(4)

... y = 48

Hope this helps you! <3

Patrick Mahomes signed a 10-year $503,000,000 contract this past offseason. That's right; 500
and three MILLION dollars. He decided to invest (loan) $10,000,000 to the Texans
organization, to help fire O'Brien and get better. If the agreed deal has an interest rate of 8% for
5 years, compounded quarterly, what is the amount that Machomes is expecting to get back in 5 years?

Answers

Answer:

($21.7 million in '21, $27.4 million in '22, $34 million-plus in '23).

Step-by-step explanation:

Find The Perimeter please asap

Answers

Answer:

44

Step-by-step explanation:

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