A local band sells out for their concert. They sell all 1,175 tickets for a total purse of $28,112.50. The tickets were priced at $20 for student tickets, $22.50 for children, and $29 for adult tickets. If the band sold twice as many adult as children tickets, how many of each type was sold

Answers

Answer 1

Answer:

225 children tickets, 450 adult tickets and 500 student tickets were sold

A Local Band Sells Out For Their Concert. They Sell All 1,175 Tickets For A Total Purse Of $28,112.50.

Related Questions

The sales tax rate is 8% how much money is 8% of $14

Answers

Answer: $1.12

Explanation:




HELP ASAP PLEASE!!!!

Answers

Answers:

c = 7d = 5

=========================================================

Explanation:

For equation A, I'll transform the right hand side into a similar form as the left side. Throughout the steps below, the left hand side stays the same.

[tex]\sqrt{448x^c} = 8x^3\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{(8x^3)^2}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{3*2}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}*7x}\\\\\sqrt{448x^c} = \sqrt{64*7x^{6+1}}\\\\\sqrt{448x^c} = \sqrt{448x^{7}}\\\\[/tex]

Therefore, c = 7

Notice that 7/2 = 3 remainder 1. The quotient 3 is the exponent for the term outside the root for [tex]8x^3\sqrt{7x}[/tex] while the remainder 1 is the exponent for the x term inside the root.

---------------------------------------

We do the same idea for equation B.

[tex]\sqrt[3]{576x^{d}} = 4x\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{(4x)^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3*9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64*9x^{3+2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{576x^{5}}\\\\[/tex]

This must mean d = 5

Note: 5/3 = 1 remainder 2, which means [tex]\sqrt[3]{x^5} = x^1\sqrt[3]{x^2} = x\sqrt[3]{x^2}[/tex]

what is the value of the 4 in the number 27.43? write your answer as a fraction

Answers

Answer:

4 tenths or 4/10

Step-by-step explanation:

5x+6 ?? please help 8th grade math work

Answers

Answer:

5x + 6 = 0

5x = - 6

x = - 6/5

-6/5 is the answer

plz help me to answer

Answers

22/3 sorry I accidentally deleted steps

Find the next two terms in the sequence -3, 0, 3, 6

Answers

9, 12.

The rule is add 3 so yeah lol

Answer:

9, 12

Step-by-step explanation:

the rule is +3 for each step in the sequence

Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answers

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.

I want to know my grade if I have an 86 and I get a 0 and it’s worth 20% of my grade what will my grade be?

Answers

Answer:

your grade will be an 76

Step-by-step explanation:

Translate the sentence into an inequality.
The sum of a number times 2 and 21 is at least 22.
Use the variable b for the unknown number.

Answers

2b + 21 < 22

b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign

A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two marbles are drawn at random without replacement. Find the probability of selecting a white marble, then a red marble.

Answers

The probability of selecting a white marble is 1/2 while that of a red marble is 3/4

rotate segment AE about point F 144 degrees

Answers

Answer:

DC

Step-by-step explanation:

If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.

What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.

144/360

divide by 12 because that is a common factor of both the numerator and denominator

12 / 30

divide by 2 because that is a common factor

6/15

divide by 3 because that is a common factor

2/5

Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer

) f(x) = 4x + 5, g(x) = 2/x;
Find (g • f)(3).

Answers

[tex]\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}[/tex]

Answer:

The answer is 2/17

Step-by-step explanation: Can I get brainliest again my answer was deletedee

pls help me in this question
a . If 3x,2x and (x+12) are supplymentary angles find the sizes of unknown angles​

Answers

Answer:

x=28°

Step-by-step explanation:

supplementary angles equal 180°

So:

3x+2x+x+12=180°

6x+12=180

6x=168

x=28°

Therefore:

3x:

3(28)=84°

2x:

2(28)=26°

x+12:

28+12=40°

If a triangle has a base of 6' and a height of 4' its area would be what?
A= bxh 2
A= 6x4 2
A= 12 sq. ft.

Answers

Answer:

Hello There!

According to the question,

Base=6

And

Height =4

Let's know the formula

[tex] \frac{1}{2} \times base \times height \\ so \\ \frac{1}{2} \times 6 \times 4 \\ [/tex]

simplify 2 with 6 then it will look like this

[tex] \frac{1}{1} \times3 \times 4 \\ \\ [/tex]

1 has no value so

[tex]3 \times 4 = 12 {ft}^{2} \\ [/tex]

So third option

[tex]a = 12 {ft}^{2} [/tex]

is correct.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

Area = 12 sq ft

Step-by-step explanation:

The formula to find the area of a triangle is

1/2 bh so we will replace the letters with their number value

1/2 (6x4)

1/2 x 24 = 12

So, 12 is your answer!

Which list of angle measures could be the angle measures of a triangle?

Answers

Hello there! So the answer would be D: 35 degrees, 60 degrees and 85 degrees. We know this because angles in a triangle sum to 180 degrees. By simply adding each angle up, we can confirm that 35 + 60 + 85 = 180. :)

What is needed to get accurate measurement of distance/length? Explain

Answers

Answer: A measuring tape.

Explanation: It is more accurate than a ruler when it comes to measuring long distances.

I hope this helps. :)

In the number 777.77 how does the value of 7 in the tenths place compare to the value of 7 in the hundredths place

Answers

Answer:

630

Step-by-step explanation:

the value of 7 in the tenths place is 70

the value of 7 in the hundredths place is 700

compare 700 and 70

So 700-70 = 630

A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

7=4m +c( y intercept)

Step-by-step explanation:

use the formula y= mx +c

When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3

Answers

Check the picture below.

The value of f(x) at x=4 is 2.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have to find the value of function for x=4.

This means that from the figure we have to find the value of y when x= 4.

Now, looking into the figure we have

f(4)= 2

f(0)= -2

f(-1)= -1

f(3)= 4

So, the required value is 2.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ7

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( Pythagorean theorem )

Answers

Answer:

x=sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

x^2 + ( sqrt(7))^2 = (sqrt(14))^2

x^2+7 = 14

x^2 = 14-7

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x=sqrt(7)

Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn

Answers

Answer:

S7 = 175S17 = 2465Sn = 1/2(n³ +n)

Step-by-step explanation:

The progression of sums is ...

  1, 5, 15, 34, 65, ...

So, first differences are ...

  4, 10, 19, 31

Second differences are ...

  6, 9, 12, ...

Third differences are constant:

  3, 3, ...

This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...

  Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))

And this simplifies a little bit to ...

  Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)

In simpler form, we have ...

  Sn = 1/2(n³ +n)

Then the two terms we're interested in are ...

  S7 = (1/2)(7³ +7) = 175

  S17 = (1/2)(17³ +17) = 2465

Each term Sₙ consists of the sum of a triangular number of terms, which are given by

[tex]T_n = \displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

The triangular numbers are given recursively for n ≥ 1 by

[tex]T_n = T_{n-1} + n[/tex]

starting with T₀ = 0.

For example,

• S₁ = 1 and

[tex]\displaystyle S_1 = \sum_{k=T_0+1}^{T_1} k = \sum_{k=1}^1 k = 1[/tex]

• S₂ = 2 + 3 and

[tex]\displaystyle S_2 = \sum_{k=T_1+1}^{T_2} k = \sum_{k=2}^3 k = 2 + 3[/tex]

• S₃ = 4 + 5 + 6 and

[tex]\displaystyle S_3 = \sum_{k=T_2+1}^{T_3} k = \sum_{k=4}^6 k = 4 + 5 + 6[/tex]

Then the n-th term of the sequence we're considering is

[tex]S_n = \displaystyle \sum_{k=T_{n-1}+1}^{T_n} k = \sum_{k=T_{n-1}+1}^{T_{n-1}+n} k[/tex]

Expanding this sum, we have

[tex]S_n = \left(T_{n-1}+1\right) + \left(T_{n-1}+2\right) + \left(T_{n-1}+3\right) + \cdots + \left(T_{n-1}+n\right)[/tex]

There are n terms on the right side, and hence n copies of [tex]T_{n-1}[/tex], and the rest of the terms make up the next triangular number [tex]T_n[/tex] :

[tex]S_n = nT_{n-1} + 1 + 2 + 3 + \cdots + n[/tex]

[tex]S_n = nT_{n-1} + \displaystyle \sum_{k=1}^n k[/tex]

[tex]S_n = nT_{n-1} + T_n[/tex]

We have a closed form for [tex]T_n[/tex], so we end up with

[tex]S_n = n \cdot \dfrac{(n-1)n}2 + \dfrac{n(n+1)}2 \implies \boxed{S_n=\dfrac{n^3+n}2}[/tex]

From here it's easy to find S₇ and S₁₇.

[tex]S_7 = \dfrac{7^3+7}2 \implies \boxed{S_7 = 175}[/tex]

[tex]S_{17} = \dfrac{17^3+17}2 \implies \boxed{S_{17} = 2465}[/tex]

Need help with a math problem If doing 5 stars and a good rating

Answers

Answer:

16:1

Step-by-step explanation:

Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.

a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use

Answers

Answer:

7½ cups of sugar

Step-by-step explanation:

2 cups of flour needs 3 cups of sugar

1 cups of flour needs 3/2=1.5 cups of sugar

1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS

what is the exact value of cos(11 π/12)

Answers

Answer:

[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]

Step-by-step explanation:

[tex]cos(\frac{11\pi}{12})[/tex]

[tex]cos(\frac{2\pi}{3}+\frac{\pi}{4})[/tex]

[tex]cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})[/tex]

[tex](-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})[/tex]

[tex]-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}[/tex]

[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]

Helpful Tips:

Sum Identity: [tex]cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)[/tex]

a pupil who scored 60 in her maths exam was absent and missed English exam use the line of best fit to predict what her English mark could be ​

Answers

Answer:

It's 48.

Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.

Step-by-step explanation:

Answer:

i think it's 48 if i'm wrong i'm sorry

[tex]\displaystyle \text{Find the summation given that } f(x) = x^3 \text{ and } \triangle x_i = 2 + \frac{i}{4}. \\ \\\[ \sum_{i = 1}^{4} x^3 \times \triangle x[/tex]

Answers

Answer:

Click the picture and u will see the answer.

#CarryOnLearning

The summation of the given function from 1 to 4 is 10.5x³.

The given parameters:

[tex]\Sigma \ x^3 \times \Delta x, \ \ \ \Delta x = 2 + \frac{i}{4} \\\\[/tex]

The summation of the given function from i = 1, to i = 4, is calculated as follows;

[tex]\Sigma \ x^3 \times \Delta x = x ^3 (2 + \frac{1}{4} ) + x ^3 (2 + \frac{2}{4} ) + x ^3 (2 + \frac{3}{4} ) + x ^3 (2 + \frac{4}{4} )\\\\= x^3(10\frac{1}{2} )\\\\=\frac{21}{2} x^3\\\\= 10.5x^3[/tex]

Thus, the summation of the given function from 1 to 4 is 10.5x³.

Learn more about summation of functions here: https://brainly.com/question/16599038

Simplify the expression

-4 + 3 + 5 =

Answers

Answer:

4

Step-by-step explanation:

-4+3=-1

-1+5=4

If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.

Answers

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

f(x)=x^2. what is g(x)?

Answers

- x^2 -3

We can see that g(x) is a reflection of f(x) and a translation down by -3 units parallel to the y axis

Applying these transformations to f(x) will yield option A

help me plzzzzzzzzzzzzz (NO LINKS)

Answers

Answer:

5^4

Step-by-step explanation:

The rule when you divide two values with the same base is to subtract the exponents.

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