PLEASE HELP! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answer:

b

Step-by-step explanation:

I = Prt  Solve the equation for r

I  =  Prt   Divide both sides by Pt to get r on one side of the equation by itself

Pt      Pt     Cancel the P and t on right side as P/P and t/t = 1

This leaves:    I = r   or r = I

                       Pt                 Pt

The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.

The given simple interest formula is I=PRT.

Where, P is the principal, r is the interest rate, and t is time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

To calculate the interest rate:

By rearranging the formula I=PRT, we get

R=I/PT

Therefore, the correct answer is option B.

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Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

Answer:

15

Step-by-step explanation:

20-5=15

Part 2:

-4a + 2 + 11a = 5a + 3 + 2a

~Combine like terms

7a + 2 = 7a + 3

~Subtract 2 to both sides

7a = 7a - 1

~Subtract 7a to both sides

0 = 1

Therefore, there are no solutions.

Best of Luck!

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

Answer:

12/5%

Step-by-step explanation:

12/5 %

that's it cuz u can't divide them

Answer:

-3/4

Step-by-step explanation:

Surely it's the same since they're parallel??

Answer:

A. Given

B.Measure of ABC=90

C.Angle addition Prostulate

D.2 times the measure of angle CBD=90

Step-by-step explanation:

Answer:

d a b c

Step-by-step explanation:

4x -2(3x+7)

Use the distributive property:

4x - 6x -14

Combine like terms:

-2x - 14

Answer:

90%

Step-by-step explanation:

3/30 not working

3/30%=3/30x100

=>10%

% of computers working 100%-10%=90%

Answer:

d<4  I might not be right but I think this is correct

Step-by-step explanation:

Simplify both sides of the inequality.

−d+12>8

Subtract 12 from both sides.

−d+12−12>8−12

−d>−4

Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >[tex]\frac{-4}{-1}[/tex]

d > 4

Answer:

the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

the doubling time [tex]{t = 0.138629 \ years}[/tex]

Step-by-step explanation:

From the information we are being provided with:

The quantity P i.e [tex]P(t) = e ^{5t}[/tex]

In order to determine the time at which P = 15, we have the following:

[tex]t= t_o[/tex]    when P = 15

∴ [tex]e^{5t_o} = 15[/tex]

[tex]5t_o= In (15)[/tex]

[tex]t_o = \dfrac{1}{5}In 15[/tex]

[tex]t_o = \dfrac{1}{5} \times 2.70805[/tex]

[tex]{t_o = 0.54161 \ years}[/tex]

Hence, the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

In order to determine the time at which P = 20, we have the following:

[tex]t= t_1[/tex]    when P = 20

∴ [tex]e^{5t_1} = 20[/tex]

[tex]5t_1= In (20)[/tex]

[tex]t_1= \dfrac{1}{5}In (20)[/tex]

[tex]t_1 = \dfrac{1}{5} \times 2.9957[/tex]

[tex]{t_1 = 0.59914 \ years}[/tex]

Hence, the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

The doubling time at t = 0, mean P = 2

∴ [tex]e^{5t} = 2[/tex]

[tex]5t= In (2)[/tex]

[tex]t= \dfrac{1}{5}In(2)[/tex]

[tex]t = \dfrac{1}{5} \times0.693147[/tex]

[tex]{t = 0.138629 \ years}[/tex]

Hence, the doubling time [tex]{t = 0.138629 \ years}[/tex]

Answer:

1/2

Step-by-step explanation:

1

3

−

1

2

(1)

2

=

1

3

−

1

2

2

=

1

3

−

1

4

=

1/12

Answer:

x = -7, +3

Step-by-step explanation:

x² - 25 = -4x - 4

Put it all on one side

x² - 25 + 4x + 4 = 0

Put like terms together

x² + 4x - 21 = 0

Factor

(x + 7)(x - 3) = 0

x + 7 = 0 ⇒ x = -7

x - 3 = 0 ⇒ x = +3

x = -7, +3

Answer:

Its b

Step-by-step explanation:

I did the unit test

Answer:

A=t+258

Step-by-step explanation:

Answer:

The answer is sixty million.

Answer:

The expression for the number of miles that Lou drives t hours is t*65

Step-by-step explanation:

Two quantities are directly proportional when, when one of them is multiplied or divided by a number, the other is multiplied or divided respectively by the same number.  That is, the relationship between the magnitudes is direct when one magnitude increases and so does the other (or when one magnitude decreases, so does the other).

The direct rule of three is used when the problem deals with two directly proportional quantities and is used to solve proportionality problems between three known values ​​and one unknown, establishing a proportional relationship between all of them as follows:

a ⇒ b

c ⇒ x

So [tex]x=\frac{c*b}{a}[/tex]

In this case the rule of three can be applied in the following way: if in 1 hour Lou travels 65 miles, in t hours how much distance does he travel?

[tex]distance=\frac{t*65 mi}{1 h}[/tex]

distance=t* 65

The expression for the number of miles that Lou drives t hours is t*65

Answer:

9

Step-by-step explanation:

We see that we have 9 zeros.

We use the base 10 system to help us solve.

When we multiply anything by 10, we simply move the decimal place to the right.

Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33​% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

[tex]33\% \text{ of } 2302[/tex] = [tex]\frac{33}{100}\times 2302[/tex]

                   = 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

=  [tex]\frac{272}{2302}\times 100[/tex]  = 11.82% ≈ 12%

a) The exact value of [tex]33[/tex]% of [tex]2302[/tex] is,

[tex]=\frac{33}{100}\times 2302[/tex]

[tex]=759.66[/tex]

b) [tex]759.66[/tex] is not the actual number of adults who said that they play football as the actual number should be a whole number and not a rational number with decimal values.

c) The actual number could be a rounded one i.e. [tex]760[/tex].

d) Let [tex]272[/tex] be [tex]x[/tex]% of [tex]2302[/tex].

[tex]\Rightarrow \frac{x}{100}\times 2302=272\\\Rightarrow x=\frac{272\times 100}{2302} \\\Rightarrow x=11.8158 \ or \ 11.82[/tex]%

Therefore, [tex]11.82[/tex]% of respondents said that they only play hockey.

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Answer:

Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)

Step-by-step explanation:

Answer:

A=5

b=9

c=32

Step-by-step explanation:

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

An equation is an expression that shows the relationship between two or more number and variables.

Here, we have,

Given the equation:

y = 2.69x - 7.95

When x = 3:

y = 2.69(3) - 7.95 = 0.12

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

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complete question;

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5.1, negative 3.2, 1.0, 2.3, 5.6.

What is the residual value when x = 3?

–0.88

–0.12

0.12

0.88

Steps to solve:

-6 + 2[6 + 4((-3)^2 - 7)]

~Solve exponent

-6 + 2[6 + 4(9 - 7)]

~Solve whats in parenthesis

-6 + 2[6 + 4(2)]

~Multiply

-6 + 2[6 + 8]

~Add

-6 + 2[14]

~Multiply

-6 + 28

~Add

22

Best of Luck!

Answer:

91 million miles (146 million km)

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

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Answer:

where is the graph

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

3+x/8=4

We move all terms to the left:

3+x/8-(4)=0

We add all the numbers together, and all the variables

x/8-1=0

We multiply all the terms by the denominator

 x-1*8=0

We add all the numbers together, and all the variables

x-8=0

We move all terms containing x to the left, all other terms to the right

x=8

Answer:

A. The bank could sell the car

Step-by-step explanation:

Answer:

A. the bank could sell the car

the reason is when he falls behind on payments the bank will take the car and sell it to get their money back i think