If 106 people attend a concert and tickets for adults cost four dollars what ticket for a children cost $3.75 and total receipt for the concert was $414 how much of each went to the concert

Answers

Answer 1

Answer:

A = 66 adults, C = 40 children

Step-by-step explanation:

We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:

[tex]A + C = 106\\4A+3.75C=414[/tex]

We can use the elimination method and multiply everything in the first equation by -4

[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]

Once we add the values together, we're left with:

[tex]-0.25C = -10[/tex], where solving for C gives us C = 40

We can plug C into the first equation to find A:  [tex]A+40=106[/tex], where solving for A gives us A = 66


Related Questions

Find the circumference r=14m

Answers

Answer:

There!!

Step-by-step explanation:

mark me brainliest!!

Answer:

88 m

Step-by-step explanation:

Given,

Radius ( r ) = 14

Formula : -

Circumference of circle = 2π4

Circumference of circle

= 2 x 22 / 7 x 14

= ( 2 x 22 x 14 ) / 7

[ 14 = 2 x 7 ]

= ( 2 x 22 x 2 x 7 ] / 7

= 2 x 22 x 2

= 88 m

Note : -

The value of π = 22 / 7.

Please answer my question fast.

Answers

Answer: 19

Step-by-step explanation: Take 1836 and divide by 23 because 23 is the amount of boxes James needs to fill. Then after you divide you have 19 left over. :)

Tony has a narrow piece of wood that is 40 inches long. He wants to make a frame for a picture. He wants to top and bottom to be 12 inches in length. How wide will be?

Answers

It will be 8 inches wide. 12x12=24, 40-24=16, 16/2=8

please help??? i’m not sure the answers or how to do this. greatly appreciated

Answers

1)

I think you should start off by solving the function equal to the given growth.

[tex]f(m) = 5.98[/tex]

[tex]3(1.09) {}^{m} = 5.98[/tex]

[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]

[tex]1.09 {}^{m} = 1.9933[/tex]

[tex]m \times ln(1.09) = ln(1.9933) [/tex]

[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]

It is sufficient to plot the exponential growth over the domain m [0,8]

2)

The y-intercept in this case represents the growth achieved at the beginning when m=0.

Before the experiment started::

3)

I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,

[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]

Note that c is the average rate of change.

Find f(2) first by substituting 2 in f(m)

f(2)=3(1.09)²=3.5643

[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]

[tex]c = \frac{2.4157}{6} = 0.4026[/tex]

average growth=0.4026 cm/month

Multiplying an integer by a negative number word problem example

Answers

Answer:

7 * (-4)

Step-by-step explanation:

Firstly, 7 is an integer(meaning there is nothing special about it, its not a decimal, its just an integer). -4 being the negative number in the example

hope i helped

:D

Enter the coordinates of the point
on the unit circle at the given angle.
240°

Answers

EXPLANATION:

To convert degrees to radians, multiply by π / 180 °

since a full circle is 360° or 2π radians.

240°⋅π / 180° radians

Cancel the common factor of 60

4 × π / 3 radians

Combine 4 and π / 3.

4π / 3 radians

HOPE ITS HELPS !!!!!

The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

The formula for calculating Radians is:

[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]

Formula for calculating coordinates of  point (x, y) on circle:

x=rcosθ

y=rsinθ           (where r is the radius of  circle for unit circle r=1)

According to the question

we have

θ = 240 degrees and, r =1

so,  240 degrees = 240×[tex]\frac{\pi }{180}[/tex]

⇒240 degrees = [tex]\frac{4\pi }{3}[/tex]   (in radians)

Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as

[tex]x=(1)cos\frac{4\pi }{3}[/tex]                    (for unit circle r=1)

[tex]x=\frac{-1}{2}[/tex]

And,

[tex]y=(1)sin\frac{4\pi }{3}[/tex]                 (for unit circle r=1)

[tex]y=\frac{-\sqrt{3} }{2}[/tex]

Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

Learn more about coordinates of the point on circle here:

https://brainly.in/question/48723898

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If the sum of a number and nine is tripled. The result is eight less than twice the number

Answers

Answer:

-35

Step-by-step explanation:

[tex]3(x+9)=2x-8[/tex]

[tex]3x+27=2x-8[/tex]

[tex]x+35=0[/tex]

[tex]x=-35[/tex]

Answer:

The number is -35.

Step-by-step explanation:

3(n + 9) = 2n - 8

3n + 27 = 2n - 8

n = -35

What are the zeros of the graph shown? (SELECT ALL THAT APPLY.)​

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis

Which is a better deal: five packs of gums for $3.00 , seven packs of gum for $4.00

Answers

Answer:

I believe the better deal would be,

Seven packs of gum for $4.00.

What is the measure of the unknown angle? 7 50° n​

Answers

Answer:

310°

Step-by-step explanation:

360 - 50 = 310

A full circle is 360, therefore you just need to take away the degree they gave you from it in order to find the remaining angle.

please help


calculate each unknown side length.

Answers

Answer:

x = 6.6 inchesy ≈ 12.0 inches

Step-by-step explanation:

The Pythagorean theorem relates side lengths in right triangles. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides.

__

Left triangle

  8.8² + x² = 11²

  x² = 121 -77.44 = 43.56

  x = √43.56 = 6.6 . . . inches

__

Right triangle

  6.6² +10² = y²

  43.56 +100 = y² = 143.56

  y = √143.56 ≈ 11.982

  y ≈ 12.0 . . . inches

If the area of a triangle is 100 in^2, and the height is 10in, find the length of the base in inches.
Round to the nearest inch if applicable.

Answers

Answer:

Area of a triangle is 100 in²

Height of triangle is 10 in .

we have been asked to find the length of its base .

Formula Used to Find length of its base

☯[tex] \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: [/tex]

Put the given value we obtain

[tex] \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch[/tex]

So, the length of its base is 20 inch .

The base length of the triangle with the given values of area and length of height to the nearest inch 20in.

What is a triangle?

A triangle is a two-dimensional shape with three edges and three vertices.

The area of a triangle is expressed as;

A = (1/2) × base × height

Given the data in the question;

Area of the triangle A = 100in²Length of Height = 10inLength of Base = ?

We substitute our given values into the expression above.

A = (1/2) × base × height

100in² = (1/2) × Base × 10in

100in² = 0.5 × 10in × Base

100in² = 5in × Base

Base = 100in² / 5in

Base = 20in

Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.

Learn more on area of traingle here: https://brainly.com/question/11952845

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what is the probability and odd for 7/16​

Answers

Answer:

What is the probability and odd for 7/16​

There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.

The perimeter of rectangle is 36 the length is 3 more than two times the width

Answers

Answer:

The width of the rectangle is equal to 5 and the length is equal to 13

Step-by-step explanation:

Perimeter of rectangle = (Length + Width) ×2

Perimeter of rectangle = (13 + 5) ×2

Perimeter of rectangle = 36

The length of the rectangle is 13, which is 3 more than two times the width, if the width is 5

5 (Width) ×2 = 10

10 +3 = 13 (Length)

(9x + 4) (2x2 – 17x - 9) = 0
-

Answers

Answer:

I literally just did this one. you get 3 solutions x=9, -1/2, -4/9. factor the 2nd group.

(3x+3)what is the measure

Answers

Answer:

I don't think you provided the whole question...

Step-by-step explanation:

. Solve the system of equations using the Elimination Method.

X+3y - 2z=2
3x+2y+z=13
-2x+3y - 3z= -5

Answers

Answer:

{x,y,z}={1,3,4}

Step-by-step explanation:

System of Linear Equations given :

 [1]    x + 3y - 2z = 2

  [2]    3x + 2y + z = 13

  [3]    -2x + 3y - 3z = -5

Solve by Substitution :

// Solve equation [2] for the variable  z

 [2]    z = -3x - 2y + 13

// Plug this in for variable  z  in equation [1]

  [1]    x + 3y - 2•(-3x-2y+13) = 2

  [1]    7x + 7y = 28

// Plug this in for variable  z  in equation [3]

  [3]    -2x + 3y - 3•(-3x-2y+13) = -5

  [3]    7x + 9y = 34

// Solve equation [3] for the variable  y

 [3]    9y = -7x + 34

 [3]    y = -7x/9 + 34/9

// Plug this in for variable  y  in equation [1]

  [1]    7x + 7•(-7x/9+34/9) = 28

  [1]    14x/9 = 14/9

  [1]    14x = 14

// Solve equation [1] for the variable  x

  [1]    14x = 14

  [1]    x = 1

// By now we know this much :

   x = 1

   y = -7x/9+34/9

   z = -3x-2y+13

// Use the  x  value to solve for  y

   y = -(7/9)(1)+34/9 = 3

// Use the  x  and  y  values to solve for  z

 z = -3(1)-2(3)+13 = 4

Solution :

{x,y,z} = {1,3,4}

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.
The balance in Dee's account is 34 the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.What is the balance in Zac's account?

Answers

Answer:

34%

Step-by-step explanation

34% (I believe)

An advertising executive wants to determine if a new billboard placed in a city caused sales of her product to increase. To do this, she selects random stores that sell the product on the billboard and compares the amount sold in one business cycle before the billboard was placed to the sales of one business cycle after. Suppose that data were collected for a random sample of 10 stores, where each difference is calculated by subtracting the number of units sold in thousands before the billboard was placed from the number of units sold in thousands after the billboard was placed. Assume that the numbers are normally distributed. The executive uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈6.537, which has 9 degrees of freedom, determine the range that contains the p-value.

Answers

Complete Question

The complete question is shown on the first and  second uploaded image

Answer:

The correct option is the first and the last option

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  10

   The null hypothesis is  [tex]H_o :  \mu_d  =  0[/tex]

   The alternative hypothesis is  [tex]H_a :  \mu_d  >  0[/tex]

    The test statistics is  [tex]t \approx 6.537[/tex]

   The level of significance is  [tex]\alpha  = 0.05[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(t >  6.537 )[/tex]

From z-table  [tex]P(t >  6.537 ) = 0[/tex]

So  

   [tex]p-value  =  0[/tex]

From the value obtained we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is equal to zero

Thus we conclude that

Based on the results of the hypothesis test, there is not enough evidence at the level of significance(0.05) to suggest that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is greater than zero    

What is 2/3 - (-2/3)?

OA) -4/3

OB) 4/3

C) 0

OD) 2/3

Answers

Answer:

OB

-2 multiply by a -2 is a - 4 which is a numerator then

3 doesn't change cause it is a denomenator

thus your final answer is a -4/3

GIVING BRAINLEST TO WHOEVER ANSWERS FIRST!!!!!!!!!!!!
Which two methods can be used to solve the equation 5/7 n = 8 3/5 ?
Group of answer choices

Multiply both sides by 5/7 or divide both sides by 7/5.

Divide both sides by 5/7 or multiply both sides by 7/5.

Add 5/7 to both sides or subtract 7/5 from both sides.

Subtract 5/7 to both sides or add 7/5 to both sides.

Answers

Answer:

b. divide both sides by 5/7 or multiply both sides by 7/5

Which transformation of AB will produce a line segment A'B' that is parallel to AB?

Answers

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. [tex]B = (x,y)[/tex]

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (x,y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y - 0}{x - 0}[/tex]

[tex]m = \frac{y}{x}[/tex]

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

[tex]B' = (-x,-y)[/tex]

Taking the slope of B'

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (-x,-y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-y - 0}{-x - 0}[/tex]

[tex]m = \frac{-y}{-x}[/tex]

[tex]m = \frac{y}{x}[/tex]

Notice that the slope of B and B' is the same;

[tex]m = \frac{y}{x}[/tex]

Hence:

Rotation of 180° about point B  answers the question

There's no need to check for other options

Simplify the expression.
(5+6i)+(-2+4i)

Answers

Answer: 3 + 10i

Step-by-step explanation:

Complex numbers follow the same rules that real numbers do when it comes to addition and subtraction. Removing the parenthesis we have:

[tex]5+6i-2+4i[/tex]

Combine the real parts, then combine the complex parts:

[tex]3+10i[/tex]

If the function f(x) = 4* is translated up 6 and left 2, write the new function

Answers

Answer:

f(x+2)+6 = 4^(x+2)+6

Step-by-step explanation:

(The power is to the x+2) Hope this helps!:)

Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R3 connected in series. Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.​

Answers

Answer:

Step-by-step explanation:

the resistors which connected in series

equivalent resistance = R1 +R2 + R

is the relationship between the resistors connected in series.

For parallel connection

R1 = 2ohm

R2 = 3ohm

R3 = 6ohm

for equivalent resistance (Rt)

1/Rt = 1/R1 + 1/R2 + 1/R3

1/Rt = 1/2 + 1/3 + 1/6

1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1

Rt = 1 ohm

equivalent resistance = 1 ohm

Samantha has saved $40 towards buying a $125 electronic book reader. Starting this week, she plans to save an additional $15 each week.
Write and solve an inequality that can be used to find the minimum number of weeks, w, it will take Samantha to save for the book reader

Answers

125 = 40 + 15w

W = number of weeks

6 weeks is 125 = 40 + 15(16) 

15(16) is 90 so 90 + 40 = 130

So the inequality would be w >= 6

To be more precise because 6 weeks is $130 and not $125, divide 85 (money still needed) by 15 to get the decimal 5.66…, so it would be w >= 5.66…

Explain and Prove that the sides of the triangles below are a right triangle.



1.) 5, 10,12

2.) 6,5,3

3.) 3, 4, 5

4.) 6, 8,10



*Pls explain all ill give you brainliest or w.e its called*

Answers

3.) 3, 4, 5
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number

a^2 + b^2 = c^2

So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Therefore they are right triangles

But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.

Hope this helps!!

Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.
What was Femi's mean score?

Answers

It’s 77 brainly please

Answer:

77

Step-by-step explanation:

The map shows the location of the houses of Dan, Joe, Lee, and Roy:

The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?

a Dan
b Joe
c Lee
d Roy

Answers

Answer:

  c  Lee

Step-by-step explanation:

The coordinates of the community center are both negative. They place it 2 units left and 3 units up from Lee's house in the 3rd quadrant.

2 less than or equal to x less than or equal to 6 1 less than or equal to y less than or equal to 5 x plus y less than or equal to 8 maximum for P = 3x + 2y

Answers

Answer: A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10

Step-by-step explanation:

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