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

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]

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.

Answer:

7

Step-by-step explanation:

7   ×   4   +   20   ×   4   +   20 = 212

212 x 4 + 20 = 868

The number is 7.

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:

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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

Answer:

2034

Step-by-step explanation:

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.

Answer:

no one likes u

Step-by-step explanation:

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

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:

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Answer:

4.5

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

Answer:

There is 5 4rth

Step-by-step explanation:

Answer:

180°

Step-by-step explanation:

Answer: 16.4cm

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

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

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:

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

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:

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.

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.

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 .

Answer:

k = K^2

Step-by-step explanation:

Subtract  K^2 from both sides of the equation.

Answer:

B. Sin a cos b + cos a sin b

Step-by-step explanation:

PLATO

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).

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

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

Answer:

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

Step-by-step explanation:

Answer:

conceptual

Step-by-step explanation:

Answer:

I and III

Step-by-step explanation:

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