At the city museum, child admission is $5.30 and adult admission is $9.20. On Monday, 121 tickets were sold for a total sales of $836.30.
How many adult tickets were sold that day?

Answer:

5

Step-by-step explanation:

We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.

Given:

[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]

To find:

The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].

Solution:

We have,

[tex]f(x)=x^3+4x^2+5x+2[/tex]

The coefficients of f(x) are 1, 4, 5, 2.

Divide the given function by (x+2) by using synthetic division as shown below:

-2 | 1        4           5         2

              -2         -4        -2

_____________________

      1        2          1           0

_____________________

Bottom row represent the quotient and last element of the bottom row is the remainder.

Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.

So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.

Now,

[tex]f(x)=(x-k)q(x)+r[/tex]

Here, q(x) is the quotient and r is the remainder.

[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]

Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].

Answer:

29.2 and 60.8  

Step-by-step explanation:

x° + x° + 31.6° = 90°

2x + 31.6 = 90

2x = 58.4

x° = 29.2°

90° - 29.2° = 60.8°

29.2 and 60.8

Answer:

Answer:

decimal form is 373.55056

Step-by-step explanation:

multiply (9\89) x 490 in a calculator

you should get (4410\89) then add 324

you'll get another fraction (33246\89)

put that in a calculator and use the double arrow button (if you have it)

it looks like this in a way ( <||>)

I hope this help unless its too late.

If i'm too late i'm sorry I was in class when my computer died

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

Answer:

The triangles are not similar.

Step-by-step explanation:

Given

[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]

See attachment for triangles

Required

Determine if both triangles are similar or not

From the attached triangles, the corresponding sides are:

IG & MN and GF & NL

Where

[tex]IG = 12[/tex]         [tex]MN = 14[/tex]

[tex]GF = 16[/tex]        [tex]NL = 18[/tex]

For both triangles to be similar, the following equivalent ratios must be equal.

[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]

[tex]\frac{12}{14} = \frac{16}{18}[/tex]

[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar

check the photos they have the answer

Answer: y=-20,:x=-2

PLEASE MARK BRAINLIEST

Answer:

x=-2

y=-20

Step-by-step explanation:

y=10x

y=2x-16

10x=2x-16

-2x -2x

8x=-16

/8 /8

x=-2

y=10x

y=10(-2)

y=-20

Answer: you forgot attachment

Step-by-step explanation:

Answer:

6n

Step-by-step explanation:

6n = 6*n not 6+n

Leave a like and mark brainliest if this helped!

Answer:

https://youtu.be/WYNfQabLpuk

Step-by-step explanation:

[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

y2 = y , x2 = 5

y1 = 2 , x1 = 3

[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]

-4 = y-2 ==> y = -2

Answer:

y=-2

Step-by-step explanation:

For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).

Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:

-2=(y-2)/(5-3)

-2(2)=y-2

y=-4+2

y=-2

Answer:

24.8!

Step-by-step explanation:

Answer:

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)

9514 1404 393

Answer:

  24, 28

Step-by-step explanation:

Multiples of 4 between 20 and 30 are ...

  24 = 6·4

  28 = 7·4

There could be 24 or 28 cubes in bag B.

Answer:

22

Step-by-step explanation:

2x-13=9

2x-13-9=0

2x-22=0

2x=22

x=11

Answer:

its 8 i belive

Step-by-step explanation:

Answer:

16x - 1/50x

Step-by-step explanation:

Answer:

1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) at 95%, confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) Margin of Error E = 474.87

4) at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5) the probability of error will be affected  

Step-by-step explanation:

Given the data in the question;

1) the point estimate for the starting salary of the graduates?

The sample mean is the point estimate for the starting salary of the graduates which is $32,000

2) the 95% confidence interval for the average salary of all graduates?

given that;

mean x' = $32,000

standard deviation σ = $5000

sample size n = 300

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05/2 = 0.025  

Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645

so, 95% confidence interval for the average salary of all graduates will be;

⇒ x' ± Margin of Error

Margin of E =  [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

E =  1.645( 5000/√300 )

E = 1.645( 288.675 )

E = 474.87

so

x' ± Margin of Error

32000 ± 474.87

⇒ 32,000 - 474.87, 32,000 + 474.87

⇒ ( 31525.13, 32474.87 )

Therefore, 95% confidence interval for the average salary of all graduates is  ( 31525.13, 32474.87 )

3) the value of the Maximum Tolerable Error for the above confidence interval?

This is simply the Margin of Error,

Margin of Error E = 474.87

4)

If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?

at 99% confidence level;

∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.005

[tex]Z_{\alpha /2[/tex] = 2.326

∴ confidence interval will be;

⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )

we substitute

⇒ 32000 ± 2.326( 5000/√300 )

⇒ 32000 ± 2.326( 288.675 )

⇒ 32000 ± 671.458

⇒ 32000 - 671.458, 32000 + 671.458

⇒ ( 31328.54, 32671.46 )

Therefore, at 99%, confidence interval  is ( 31328.54, 32671.46 ).

5)  If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected  

Answer:

÷3==533740£; ok8iejeoeoeo

Answer:

x=4

Step-by-step explanation:

First divide 3 from both sides.

Then minus 8 which makes it 0.

Finally, pull the x to the other side giving you x=4

Answer: 11/23

Step-by-step explanation:

I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.

The largest fraction will be 11/23.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Now,

Since, All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Here, The values are,

⇒ 9 /19 = 0.47

⇒ 5/11 = 0.45

⇒ 7/15 = 0.46

⇒ 11/23 = 0.48

Thus, The largest value of the fraction = 11/23

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer:

each friend gets 5 candies.

Step-by-step explanation:

ok, let's list the basics.

for this question we need to use division.

60 ÷ 12 = 5

i really hope this helped, if you have any questions feel free to ask

good luck my friend!

-cheesetoasty

Answer:

19.5

Step-by-step explanation:

The 43rd term of the sequence is 19.5

Answer:

it Is a variable..............

Answer:

9:50 A.M.!

Step-by-step explanation:

7 HRS +2 HRS = 9 HRS

30 MINS + 20 MINS = 50 MINS

writing sentence as an inequality

how to write

a.)  " A number n is less than or equal to -7 or greater than 12" as an inequality

b.) " A number p is less than 6 and greater than 2