12x15y=4140; x+y= ?
solve.

12x15y=4140; X+y= ? Solve.

Answers

Answer 1

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.


Related Questions

Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89

Answers

Answer:

$2907.89

General Formulas and Concepts:

Symbols

e (Euler's number) ≈ 2.71828

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra i

Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 930

t = 19

r = 6% = 0.06

Step 2: Find Interest

Substitute in variables [Compounded Continuously Formula]:                    [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply:                                                                                        [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 930(3.12677)[/tex]Multiply:                                                                                                              [tex]\displaystyle A = 2907.89[/tex]

What is the equation of the following line written in slope-intercept form?

Answers

Answer:

C

Step-by-step explanation:

y=-7x-11

the answer in slope intercept form is y=-7x-11

THIS IS TO HELP OTHER PEOPLE IF THEY FIND THIS QUESTION THIS QUESTION IS ALREADY CORRECT
What is the value of this expression?
[(3+5)⋅2−5]⋅3
Enter your answer in the box.

Answers

Thank you this helped me
Ily for this thank you

If a + b = 5 and a - b = 9, what is a^2+b^2?

Answers

Answer:

=53

Step-by-step explanation:

a=5-b     &.    a=9+b

combine

5-b=9+b

-4=2b

b= -2

thus, a=7

(-2)^2 + (7)^2

4+49

=53

Mark Brainliest please

Answer : 3²+2²=13.

Step-by-step:

Ok …according to the question

a+b=5–(1)considering it as eqn 1

a-b=9—(2)considering it as eqn 2

Substracting eqn 2 from eqn 1 we get

2b=4

b=4/2

b=2

Now substituting this value of b in eqn 1 we get

a+2=5

So a=5–2

a=3

So a=3and b=2

Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =
12? Which ones would work?

Answers

Answer:

Step-by-step explanation:

The given linear equation can be reduced, ending up as  

y - x = 4   or   y = x + 4

If we choose our own x values, we can calculate the corresponding y value in each case:

x     y = x + 4    ordered pairs

0     4                (0, 4)

1      5                 (1, 5)

3      7                (3, 7)

-2     2                (-2, 2)

choose the equation of the line that is parrarel to the y axis

Answers

Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0.

There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?

Answers

Answer:

86 boxes

Step-by-step explanation:

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?


Answers

Answer:

36,738

Step-by-step explanation:

The first step is to calculate the radius

= 60/2

= 30

Therefore the volume can be calculated as follows

= πr^2h

= 3.142 × 30^2 × 13

= 3.14× 900×13

= 36,738 cubit feet

Hence the volume of the grain pile is 36,738 cubic feet

please help me which of the following is the quotient of the rational expressions shown below

Answers

Answer is C

✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔

The guy above me is correct it is c


What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?

Answers

Answer: The remainder is 0.

Step-by-step explanation:

We are given:

Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]

Divisor polynomial = [tex]2x^2-3[/tex]

We divide the dividend by the divisor using the long division method.

In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.

The long division of the two polynomials is attached in the image below.

From the image, we can say that the remainder of the two is 0

PLZZ HELPPP

Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20

Answers

Answer:

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]

Hence the required product matrix that represent X is;

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]

In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
are there from those 26 cards?

Answers

Step-by-step explanation:

It doesn't matter what order they are drawn in, so youi have a combination problem

26C5

My calculator gives the answer directly,

It is 65780

What is 25% of 4kg 200g​

Answers

Step-by-step explanation:

25% of 4kg 200g

25/100 × 4.200

4.200/4

=1.05 kg or 1kg 50g

PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.

Answers

Answer:

15°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.

A regular 12-sided polygon is a polygon with 12 equal sides and angles.

The sum of interior angles of a polygon is given as:

sum = (2n - 4)90; where n is the number of sides of the polygon

For a 12 sided polygon:

Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°

Therefore since all the angles are equal, each angle = 1800° / 12 = 150°

Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x

Therefore in triangle PQR:

∠PQR + ∠PRQ + ∠QPR = 180°

150 + x + x = 180

150 + 2x = 180

2x = 30

x = 15°

∠PRQ = 15°

PLEAAASE HELP!!! WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

Compared to a standard cosine function, the graph has a phase shift of [tex]5\pi/6[/tex] to the right, and compared to a sine function it has a phase of shift of [tex]\pi/6[/tex] to the right.

Step-by-step explanation:

The standard cosine function [tex]y=\cos x[/tex] has its maximum (vertex of the interval concave down) intersect with the y-axis. In this case, that part is shifted [tex]\frac{5\pi}{6}[/tex] to the right.

The standard sine function [tex]y=\sin x[/tex] has the point where it crosses its midline intersect with the x-axis. In this case, that part is shifted [tex]\frac{\pi}{6}[/tex] to the right.

help me..........
only 23...​

Answers

Question 23

Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.

We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.

Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.

See the diagram below.

Pls help with this
Will give brainliest

Answers

Answer:

First one 2(x^2-4)

Like that you can do

Step-by-step explanation:

Vote as brainliest

Answer:

4(a). 2(x^2 - 4)

(e). ab(a^2 - b^2)

5(a). (x + 2)^2

(d). (x - 4)^2

6(a). -(3x - )^2

(b). 2(x-5)(x+5)

Step-by-step explanation:

If this helps you, please give brainliest!

What is the slope of the line graph above?

Answers

This slope is 1/2. It goes up 1 on the y axis and over 2 on the x axis

You get 11 points if you answer a.s.a.p

Answers

Answer:

Have you got it now?

Step-by-step explanation:

How can you add eight 4s together so that the total adds up to 500?

Answers

You can also multiply the 8 4s like 8x4 but it won’t add up to 500

Which points are solutions to the system of inequalities shown below?
Check all that apply.
y>x
y> 2
X>4
A. (6,4)
B. (4,2)
C. (8,1)
D. (9,-2)
E. (9, 10)
F. (5,6)

Answers

Answer:

F

Step-by-step explanation:

y should be greater than x and greater than 2.

x should be greater than 4 but less than y

Need help of this!! Domain and range!!

Answers

Answer:

its the first one

Step-by-step explanation:

It’s the last one because the domain is x/x is greater than or equal to -4 and the range is y/y is greater than or equal to 0

Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.

Answers

534 is the answer to this question.

Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.

Answers

Answer: 99/130

Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.

So the probability is 99/130.

the equation of a straight line is given as 3x+y=7. the slope of this line is​

Answers

Answer:

The slope is -3 and the y intercept is 7

Step-by-step explanation:

3x+y = 7

We can write the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -3x+7

The slope is -3 and the y intercept is 7

The correct answer is -3

What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)

28 in.
24 in.
30 in.
27 in.

Answers

Answer:

28 inches

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 22/7 ( 9)

C =198/7

    =28.28571429 inches

help asap ------------

Answers

Answer:

(-35, 0)

Step-by-step explanation:

x- intercept => y =0

y = -68, -51, -34, -17, 0

x = -79, -68, -57, -46, -35

(x, y) =>(-35, 0)

−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?

Answers

Step-by-step explanation:

−2(4y+1)=−8y−2

4y+1=4y+1

infinite solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

-2(4y+1)=−8y−2

=> -2(4y)-2(1)= -8y-2

=> -8y-2=-8y-2

=> Infinitely many solutions as x from both sides get cancelled

if (x+y , 2x-3) = (5,3) find the value of x and y​. plz answer ASAP!!!

Answers

Answer:

x=3

y=0

Step-by-step explanation:

2x-3=3

2x=6

x=3

x+y=3

3+y=3

y=0

Answer:

ans: x= 3 and y= 2

Step-by-step explanation:

equating corresponding order pair,

x + y = 5 and

2x-3 = 3

so x=6/2 I.e

x= 3

putting x in

x + y = 5

y = 5- 3

y = 2

**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players

Answers

The lower the frequency the least common the average.

There are two frequencies that are 1, which would be the least common.

The answer is C. 0.320-0.329 and 0.360 -0.369

Answer:

option C

Step-by-step explanation:

option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.

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