Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?

Answers

Answer 1

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15


Related Questions

___ is a term relating to abstract ideas.

Answers

Answer:

conceptual

Step-by-step explanation:

A 12-foot piece of rope has 5 pieces that are each 1.25 feet cut from it. What is the rope's new length?

Answers

Answer:

5.75 feet

Step-by-step explanation:

5 x 1.25= 6.25

12-6.25=5.75

sorry if I got it wrong

Determine the intercepts of the line.
Y-intercept(__ , __)
X-intercept(__,__)

Answers

Answer:

Y-intercepts: (0,6)

X-intercepts: (8,0)

Answer:

Y-intercept: (0,-6)

X-intercept: (-8,0)

Step-by-step explanation:

In order to find an intercept, you have to know the difference in the two axis. The intercept is just where the plot line hits the axis. On the top, left side, you can see that the blue line his the black x-axis at -8 over to the right but it doesn't mover down. This means the x-intercept hits at (-8,0). On the upper, right side, you can see that the blue line his the black y-axis by not moving sideways, but it does go -6 down. This means that the y-intercept would be (0,-6).

If 10 tacos cost $8.49, then one taco would cost

Answers

Answer:

Step-by-step explanation:

10 tacos = $8.49

So, one taco = $8.49 / 10

=> $0.849

If my answer helped, kindly mark me as the brianliest!!

Thank You!!

Answer:

about $0.85

Step-by-step explanation:

8.49 divided by 10 = 0.849. Round to the nearest thousanths.

“use synthetic method to find the quotient”

Answers

Answer:

1) [tex]2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}[/tex]

2) [tex]5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}[/tex]

Step-by-step explanation:

The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the

possible lengths of f?

Answers

Answer:

The possible range of values for F are from 8 to 30

Step-by-step explanation:

Here, we have a triangle DEF and we want to get the possible lengths of the third side

To evaluate the possible lengths of the third side , we need to follow a rule

The rule is that, for the third side, the sum of the two other sides must be greater than it

This means that the length should be less than d + e

Mathematically;

f < d + e

f < 12 + 19

f < 31

So it could be 30

It could also range from 30 to 8

This is because if it is less than 8, then the addition to 12 will be less than or equal to 19

The surface area of a cube may be found using the formula A=6s2.

What is the edge length of a cube with a surface area of 81 cm2?

Round your answer to the nearest tenth.

Answers

A=6s2
81=6s2
S2= 81/6
S= 3.67cm

Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet. The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.

Answers

Answer:

A)+17311 represent the value in the statement.

B)-237 represent the value in the statement.

Step-by-step explanation:

A) The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet.

Elevation is in the positive direction

So, the positive integer will represent the given situation

So, The highest elevation in a country is Mt. Snowy with an altitude of +17311

Thus +17311 represent the value in the statement.

B)The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.

Below the sea level means negative direction

So, the negative integer will represent the given situation

So, The lowest elevation in the country is Green Valley with an altitude of - 237 feet below sea level.

Thus -237  represent the value in the statement.

Find the unknown angle measure.

Answers

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

What is the expanded equivalent of sin(a + b)?
A.
sin a cos b-cos a sin b
B.
sin a cos b + cos a sin b
C.
cos a cos b-sin a sin b
D
cos a cos b + sin a sin b

Answers

The answer is b

Sun a cos b+cos a sin b

Answer:

B. Sin a cos b + cos a sin b

Step-by-step explanation:

PLATO

In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.

Answers

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

=

sin73

2.7

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

≈2.131≈2.1

Use scientific notation to find the product of 7.13 × 10 -3 and 40.

Answers

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

The Triangle Sum Theorem states that the sum of all the angles in a triangle is

Answers

Answer:

180°

Step-by-step explanation:

PLZ HELP I WILL MARK BRAINLEST!

Answers

Answer: 16.4cm

Step-by-step explanation: 4cm=20km

82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm

Marcus thinks of a number between 5 and 10 He multiplies the number by 4 and adds 20.He takes this answer, multiplies it by 4 and adds 20 .He repeats this process a number of times and gets 868 What number did he begin with?

Answers

Answer:

7

Step-by-step explanation:

7   ×   4   +   20   ×   4   +   20 = 212

212 x 4 + 20 = 868

The number is 7.

What is Sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

First term, [tex]a_1[/tex] = x

[tex]a_2[/tex] = 4[tex]a_1[/tex] + 20

.

.

.

[tex]a_n[/tex] = 4[tex]a_{n-1[/tex] + 20

So, [tex]a_n[/tex] =  868

4[tex]a_{n-1[/tex] + 20 = 868

4[tex]a_{n-1[/tex] = 868 - 20

[tex]a_{n-1[/tex] = 212

4[tex]a_{n-2[/tex] + 20 = 212

[tex]a_{n-2[/tex] = 48

and, [tex]a_{n-3[/tex] = 7

Hence, the number is 7.

Learn more about Sequence here:

https://brainly.com/question/21961097

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there are 5,280 feet in 1 mile. if Riley ran 26,400 feet how many miles did she run​

Answers

Riley ran 5 miles .

An AP ® Statistics student designs an experiment to see whether today’s high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes—one with a calculator and one without—in a random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares regression yields the equation ˆ=−1.2+0.865() =0.79 Which of the following statements is/are true?

Answers

Answer:

I and III

Step-by-step explanation:

PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!

Answers

Answer:

2034

Step-by-step explanation:

(1,6) and (9,14) standard form

Answers

Answer:

(14y+6y)+(9x+1x)

Step-by-step explanation:

State the x and Y intercepts of the equation y=2/3x - 1/3

Answers

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis

Answers

Answer:

b. diffusion and active transport

Step-by-step explanation:

these are two ways that substances, like nutrients, pass through cell membranes.

Answer:

b

Step-by-step explanation:

Please help if you know how to do this, thanks

Answers

9514 1404 393

Answer:

  4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)

  5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)

  6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)

Step-by-step explanation:

Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.

4) see the first attachment

  y = -3(x+2)^2 +4 . . . vertex form

  y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)

__

5) see the second attachment

  y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)

  y = 0.5x^2 -x -1.5 . . . standard form

__

6) see the third attachment

  y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)

  y = -0.3x^2 -1.2x -7.2 . . . standard form

_____

Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...

  y = ax^2 +bx +c

which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.

K^2+k=0 what does k=

Answers

Answer:

k = K^2

Step-by-step explanation:

Subtract  K^2 from both sides of the equation.

PLZZZZ HELP IM BEING TIMED AND I DONT GET THIS PROBLEM

Answers

Answer:

C) 11/8

Step-by-step explanation:

Answer:

Its 11/8 (c)

Step-by-step explanation:

subtract first the numerators then apply the absolite value.

After that find the lcm= 8

30/8 (15/4) - 19/8

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?

Answers

Answer:

4.5

Step-by-step explanation:

hi! i’ll mark brainlest to whoever answers this question first :(

Answers

Answer:

no one likes u

Step-by-step explanation:

how many one and one fourths are in four and one half

Answers

Answer:

There is 5 4rth

Step-by-step explanation:

Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?

Answers

Answer:

The number of tickets sold at the gate is [tex] G = 211.25[/tex]

The number of tickets sold in advance is  [tex]  A = 311.25 [/tex]

Step-by-step explanation:

From the question we are told that

 The cost of a tickets at the gate is [tex]a =  \$ 5[/tex]  

  The cost of a ticket in advance is  [tex]b =  \$ 3[/tex]

Let the number of ticket sold in the gate be G

Let the number of ticket sold in advance  be   A

From the question we are told that

  One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as

       [tex]G  +  100 =  A[/tex]

From the question we are told that

  The total revenue from ticket sales was $1990  and this can be mathematically represented as

    [tex]5 G  +  3A  =  1990[/tex]

substituting for  A in the equation above

    [tex]5 G  +  3[G  +  100]=  1990[/tex]    

    [tex]5 G  +  3G  +  300=  1990[/tex]    

    [tex] 8G  +  300=  1990[/tex]  

    [tex] 8G  =  1690[/tex]

=>  [tex] G = 211.25[/tex]

Substituting this for G in the above equation

     [tex]5 [211.25]  +  3A  =  1990[/tex]

=>    [tex]  3A  =  1990 - 1056.25[/tex]

=>    [tex]  A = 311.25 [/tex]

Two angles of a triangle measure 55° and 20° what is the measure of the third angle on a triangle

Answers

Answer:105 degrees

Step-by-step explanation: All triangles have a 180 degree to them so 55+20 is 75 AND 180 degrees - 75 gives us 105 degrees. Although I know my math is correct a picture of this triangle would be helpful

Answer:

105

Step-by-step explanation:

all the angles of a triangle must equal 180

In a recent study, the Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.6 and standard deviation 10. (a) Find the 10th percentile of the blood pressures. (b) Find the 34th percentile of the blood pressures. (c) Find the third quartile of the blood pressures. Use the TI-84 Plus calculator and round the answers to at least two decimal places.

Answers

Answer:

A.) 67.78

B.) 76.48

C.) 87.34

Step-by-step explanation:

Given that:

Mean (m) = 80.6

Standard deviation (σ) = 10

A.) 10th percentile :

10th percentile corresponds to a Zscore of - 1.282

Zscore = (x - m) / σ

-1.282 = (x - 80.6) / 10

-12.82 = x - 80.6

x = -12.82 + 80.6

x = 67.78

B.)34th percentile of blood pressure ;

34th percentile corresponds to a Zscore of - 0.412

Zscore = (x - m) / σ

-0.412 = (x - 80.6) / 10

-4.12 = x - 80.6

x = - 4.12 + 80.6

x = 76.48

C.) third quartile = 75% = 0.75

75th percentile corresponds to a Zscore of 0.674

Zscore = (x - m) / σ

0.674 = (x - 80.6) / 10

6.74 = x - 80.6

x = 6.74 + 80.6

x = 87.34

a)The 10th percentile of blood pressure is 67.78.

b)The 34th percentile of blood pressure is 76.48.

c)The third quartile of the blood pressure is 87.34.

Mean blood pressure μ= 80.6

Standard deviation σ= 10

From the normal standard table, the z-score corresponding to the 10th percentile = - 1.282

What is a z-score?

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

z= (x-μ) /σ

-1.282 = (x - 80.6) /10

-12.82 = x - 80.6

x = -12.82 + 80.6

x = 67.78

So, the 10th percentile of blood pressure is 67.78.

Similarly, the 34th percentile of blood pressure =76.48

The third quartile of the blood pressure =87.34

Therefore a) the 10th percentile of blood pressure is 67.78.

b)the 34th percentile of blood pressure is 76.48.

c)The third quartile of the blood pressure is 87.34.

To get more about the z-score visit:

https://brainly.com/question/25638875

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