Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student

tickets cost s dollars each.

On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50

student tickets, and collect $1,230.

This situation is represented by this system of equations:

125a +65 s = 1,200

140a +505 = 1,230

What could the equation 265a+115s=2,430 mean in this situation?


Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.

Answers

Answer 1

Answer:

Sum of the two separate equations.

The values satisfies the equation

Step-by-step explanation:

Given the equations for the two separate days :

125a +65 s = 1,200 - - - Friday

140a +50s = 1,230 - - - Saturday

265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.

B)

Because, Inputting the solution, satisfied the equation:

a = 7 ; s = 5

265a+115s=2430

265(7) + 115(5) = 2430

1855 + 575 = 2430


Related Questions

A laptop is on sale for 18% off the original price of $450. What is the sale price?

Answers

Answer: 369

Step-by-step explanation:

This is becuase 18% of 450 is 81, and 18% off means you subract the 81 leaving 369.


The computer has rendered 960 kpx of a garden scene and renders 60 kpx more pixels each
minute.
After how many more minuted will the scenes have the same amounts rendered?

Answers

I will think it be about 960 at the end of the whole thing is done

2933445 + 9398988989

Answers

Answer:

9,401,922,434

Step-by-step explanation:

Answer:

the answer its 9.401.922.434

I hope helps you and if you want and consider you can give me a brainly crown

What is the value of x in the equation 3 - 2x= -1 5x?​

Answers

Answer:

x = -2

Step-by-step explanation:

Simplifying

2x + -5x = 3x + 12

Combine like terms: 2x + -5x = -3x

-3x = 3x + 12

Reorder the terms:

-3x = 12 + 3x

Solving

-3x = 12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x

-6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0

-6x = 12 + 0

-6x = 12

Divide each side by '-6'.

x = -2

Simplifying

x = -2

HELP PLEASEEEE PLEASEEEEE

A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds.

What is the most reasonable domain for this situation? Explain your answer.

Answers

Answer:

34

Step-by-step explanation:

3esw

Answer:

The domain is 0≤t≤4

Step-by-step explanation:

The domain for this function should not include any negative t values (since that would mean the time is negative) and it should not include any t values where the height is negative (since a negative heigh doesn't make sense in the context of this problem). The t values between 0 and 4 are the only t values where both of these conditions are met.

what is the percent of 45% of $432

Answers

Answer:

45% of 432 is 194.4

Step-by-step explanation:

Answer:

I'm not too sure what your question is asking, I'm guessing you want to know what 45% of $432 is

45% of $432 is $194.4

Step-by-step explanation:

% basically means out of 100 so 45% is 45 out of 100:

45/100(432)

19440/100

194.4

Identify the x-intercept and y-intercept

Answers

Answer:

x: -6, y: -2

Step-by-step explanation:

look at the graph, I hope this is the x and y of the lines. It says the answers, but just identify it.

Answer:

(- 6, 0 ) and (0, - 2 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here x = - 6 ← x- intercept or (- 6, 0) in coordinate form

The y- intercept is the value of y on the y- axis where the line crosses.

Here y = - 2 ← y- intercept or (0, - 2 ) in coordinate form

ginger and matt have a total of $124.00 dollars. ginger has 1$2.00 more than 3/4 of the amount matt has. how much money does ginger have? How much does matt have?

Answers

The amount of money that Matt has will be $64.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Ginger and matt have a total of $124.00 dollars. Ginger has $12.00 more than 3/4 of the amount Matt has.

Let x be the amount that Ginger has and y be the amount that Matt has. Then the equations will be

x + y = 124           ...1

x = (3/4)y + 12     ...2

From equations 1 and 2, then we have

(3/4)y + 12 + y = 124

(7/4)y = 112

y = $64

Then the amount  that Ginger has will be

x = (3/4)64 + 12

x = 48 + 12

x = $60

The amount of money that Matt has will be $64.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

What’s the answer thank you

Answers

Answer:

C

Step-by-step explanation:

Division can be done by "cross multiplying", or multiplying the first equation by the reciprocal of the second equation.

In answer c, the first term remains the same, but the second is the reciprocal of the original.  Also, the operator has changed from division to multiplication, so C is the correct answer.

HELP, I NEED IT ASAP!!!!!!!!!!!

Which conversions involve multiplying by a positive power of 10? Select all that apply.

(1.) 6 kiloliters = ___ centiliters
(2.) 800 meters = ___ hectometers
(3.) 0.8 dekameters = ___ decimeters
(4.) 13 hectograms = ___ milligrams

A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.

Answers

Answer:

its A C D

Step-by-step explanation:

did it on edg and got it right

Answer:

it is 1,3 and 4

Step-by-step explanation:

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. ... Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.

Answers

Answer:

The rational number includes only those decimals, which are finite and repeating.

Step-by-step explanation:

Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).

The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

The translation of the parent function is:

g(x) = ∛(x + 6) + 1

How do translations work?

There are two types of translations, these are:

Horizontal translation:

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left.If N is negative, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive the translation is upwards.If N is negative the translation is downwards.

Here we start with the parent function:

f(x) = ∛x

And we apply two translations such that:

g(x) = ∛(x + a) + b

Such that:

g(-7) = 0

g(2) = 3

Then we have the system of equations:

∛(-7 + a) + b = 0

∛(2 + a) + b = 3

From the options, the only ones that make the first option true are:

g(x) = ∛(x + 6) + 1

Such that when evaluated in x = -7 we get:

g(-7) =  ∛(-7 + 6) + 1 =  ∛(-1) + 1 = 0

When evaluated in x = 2 it gives:

∛(2 + 6) + 1 =  ∛(8) + 1 = 2+ 1 = 3

So the only option that meets these conditions is:

g(x) = ∛(x + 6) + 1

Which is a translation to the left of 6 units and up 1 unit.

If you want to learn more about translations, you can read:

https://brainly.com/question/17586310

Answer:

A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1

Step-by-step explanation:

I Just take the test

PLZ dont ignore me! I need help on this :(

Answers

Answer: It’s the second one!

Explanation: The dot is open and pointing to the side of the numbers greater than -3. It has to be an open dot because it is “greater than -3” not “greater than or equal to-3”! :)

Quadratic Equation to Standard Form

Answers

Step-by-step explanation:

The general Quadratic Form is [tex]ax {}^{2} + bx + c = 0 \\ - 2 {x}^{2} - 3x + 19 = 0 \\ divide \: the \: whole \: equation \: by \: - 1 \\ 2 {x}^{2} + 3x - 19 = 0[/tex]dividing the wholeequation by -1 is to make sure that the coefficient of x^2 is positive.

The table below shows the the total cost of admittance for a basketball game,y, for x students

Answers

Answer:

The 2nd one

Step-by-step explanation:

which point is on the graph of f(x) = 6x?
answer: (1,6)

Answers

The reply correct is 6,1 coordinate
Answer: correct

Explanation

Can I plz plz plz get some help

Answers

false, bc when you plug in the x and y values the equation isnt true.

Solving 2x + 6 = 3x - 8, what is the move that will result in 2x = 3x - 14?

Answers

Answer:

6 from 2x+6=3x-8 goes to right side and becomes -6 so -6+(-8)= -14

Step-by-step explanation:

2x+6=3x-8

2x=3x-8-6

2x=3x-14

2x-3x=-14

-x=-14

x=14

Subtract 6 from left side, to get 2x=3x-14

How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to explain. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.

Answers

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

can someone help me with 3x+5=11

Answers

3x+5=11

3x=6

x=2

Answer is x=2 Hope this helps

What is the area of the circle shown below? 14 cm​

Answers

Answer:

154cm squared

Step-by-step explanation:

Write an expression and then evaluate.

Answers

Answer:

60

Step-by-step explanation:

replace a and y with their numbers

(4+6+7+3)3

add the numbers in the bracket first

4 + 6 + 7 + 3 = 20

multiply by 3

20 x 3 = 60

The profits of Mr. Unlucky's company can be represented by the equation f(x)=−3x^2+18x−4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.What is the maximum profit?

Answers

Answer:

Step-by-step explanation:

maximum years would be where x=-b/2a or -18/-6 or x=3

put that into the equation to get y=-27+54-4=23 hundreds of thousands.

from year 3 on, the profit decreases

the zero point is where y=0 this is -3x^2+18x-4=0

or 3x^2-18x+4=0

quadratic formula

x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61

x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.

K(x)=12(1+1)^x,k(3)


Show how you got the answer step by step

Answers

Ice on my neck u getting stress cash through the month I got a check she selling Vs of my pants and my CHEST. Thx for the points >:)

help. answer is not D

Answers

Answer:

It would be C or B

Step-by-step explanation:

can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C

How many kilograms are in 242,000 milligrams?

Answers

Answer:

.242 Kilograms

Step-by-step explanation:

To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.

Answer:

0.242 kg

Step-by-step explanation:

divide the mass by 1e+6

Elsa and two of her closest friends went out to dinner to celebrate Elsaś birthday. The bill for dinner totaled $74.80. If they decided to leave a 20% tip, what was the amount paid by each person in Elsaś party before taxes?

Answers

Answer:

$29.92

Step-by-step explanation:

Step one:

given data

The bill for dinner totaled $74.80

Then the tip is 20%

Required

The amount paid by each person after the tip was added to the cost of the dinner

Step two:'

the amount of the tip is

=20/100*74.80

= 0.2*74.80

=$14.96

The total is 14.96+74.80

=$89.76

The number of persons including the celebrant is = 3

so each person will pay

=89.76/3

=$29.92

2.85 tons when rounded to the nearest hundrenth

Answers

Answer:

Hundredth is expressed as 1/100 0r 0.01. Rounding off of 2.85 tons = 3.00 tons

Step-by-step explanation:

what does “pi” equal?

Answers

Answer:

here!

Step-by-step explanation:

"In decimal form, the value of pi is approximately 3.14."

hope this helps! :)

Answer:

pi equal 3.141492654 ................. and more but that is the standard answer

Step-by-step explanation:

Which expression is equivalent to: n + 2n - 0.28n

A. 3n - 1.28

B. 2.72n

C. 3.28n

D. 2.6n - 1


PLEASE HELPP

Answers

n+2n-0.28n
First you can add n+2n=3n then subtract 0.28n from 3n and you will get 2.72n
The answer is 2.72n
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