17.Tickets for this prom cost $20 for a single ticket and $35 for a couple of tickets.
Ticket sales are totaled $2845 and 128 tickets were purchased. With a system of
equations that can model the situation and then solve it by any method. *A. Write
a system of equations to model this situation. . *B. Solve the system of equations.
How many single tickets [blank] couple tickets sold [blank]

20s + 35c = 2845
20s + 35c + 128

Answers

Answer 1

Step-by-step explanation:

Let S be the number of single tickets sold.

Let C be the number of couple tickets sold.

[tex]20s + 35c = 2845[/tex]

[tex]s + c = 128[/tex]

Multiplying the lower system by -20 we get;

[tex]20s + 35c = 2845[/tex]

[tex] - 20s - 20c = - 2560[/tex]

Adding the two systems i get;

[tex]35c - 20c = 2845 - 2560[/tex]

[tex]15c = 285[/tex]

[tex]c = \frac{285}{15} = 19[/tex]

Substituting C=19 in s+c=128,

we get that;

[tex]s + 19 = 128[/tex]

[tex]s = 128 - 19[/tex]

[tex]s = 117[/tex]


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

I wish I could but I’m dumber than a fish

i need help on this i don't understand

Answers

Answer: Approximately 8.5 units

Step-by-step explanation:

Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {36 } \right) + \left( {36} \right) }[/tex]

[tex]d = \sqrt {72}[/tex]

[tex]d \approx 8.5\hspace2 units[/tex]

Therefore the length of [tex]\overline{MN}[/tex] is approximately 8.5 units

Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)

Answers

Answer:

Part A: 1

Explain: The solution for a pair of lines is where they intersect.

Part B: (3,4)

Explain: (3,4) is the place where the lines intersect.

Solve the Pythagorean theorem for a, assuming a, b, and c are positive. a^2+b^2=c^2

A. a=c^2+b^2


B. a=c+b


C. a=√c^2-b^2


D. a=c-b

Answers

it should be c because the puthagorean theorem is c^2=a^2+b^2 so subtract b^2 to the other side to keep a by itself and then sqare root both sides to get ride of the square on the a

B. A=c+b is the answer

Who ever gets it I will give 20 points and Brainly.

Answers

Answer:

104?

Step-by-step explanation:

pretty sure that's it 3x2 =6 10x11=110 but your painting around the window which it 6 ft so take 6 away and boom 104!

Answer:

104 ft²

Step-by-step explanation:

Given :-

Dimensions of wall = 10 x 11Dimensions of window = 2 x 3

To Find :-

Area to be Painted

Solving :-

Area (painted) = Area (wall) - Area (window)Area (painted) = 10 x 11 - 2 x 3110 - 6104 ft²

WHOEVER ANSER'S THIS WILL GET THE BRAINLESS!!!!!!!!! NEED ANSWER ASAP

Answers

Answer:

I think the last one?

Step-by-step explanation:

I think the first one is the answer.

A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph

Answers

Answer: 160 miles

Step-by-step explanation: From 10:20 to 12:20 is 2 hours which is 120 minutes and it is 60mph so it is 1 mile per minute. 12:20 to 1:00 is 40 minutes so you add 40 to 120 which makes it 160. So the answer is 160 miles

The Answer would be : 160 miles

the GCF of 44 and 20

Answers

The greatest common factor of 44 and 20 is 4
Your factors for 20 is 4×5 or 2×2×5;
Your factors for 44 is 4×11 or 2×2×11
So, your largest factor is 4, because there is no higher number that is not decimal that can get to both of these numbers
Answer: 4

A golf ball was hit and modeled by
-16x2 + 11x + 6 = 0
When will the golf ball hit the ground?
Round to the nearest hundreths

Answers

By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.

What is the quadratic formula?

The quadratic formula is a formula that gives the solutions of a quadratic equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants and x is the variable. The formula is:

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a

This formula can be used to find the values of x that satisfy the quadratic equation.

To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation [tex]-16x^2 + 11x + 6 = 0[/tex] using the quadratic formula:

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a

where a = -16, b = 11, and c = 6. Substituting these values, we get:

x = (-11 ± [tex]\sqrt{11^2 - 4(-16)(6)}[/tex] ) / 2(-16)

x = (-11 ±  [tex]\sqrt{361}[/tex])/ (-32)

Simplifying this expression, we get:

x = (-11 ± 19) / (-32)

So the two possible values of x are:

x = 8/16 = 0.5 and x = 30/16 = 1.88

Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).

To know more about quadratic formulas visit:

brainly.com/question/9300679

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11. Tom works at an aquarium, he is asked to clean the coral reef tank. The function
graphed below represents the amount of water in gallons, y, of a the tank after x, hours.
y
225
Word Bank.
200
175
Slope, linear, quadratic,
exponential, y = mx +b, y =
ax²+bx+c, y-intercept, x-
intercept.
150
Water (gallons)
125
100
75
50
25
o
0 1 2 3 4 5 6 7 8
Time (hours)
The graph represents a
function. In which the equation is
The
feature of the graph shows the point at which
the tank ends its draining. The
shows the initial amount of water in
the tank before cleaning which is
The
is negative which shows
the amount of water being drained over the number of hours.

Answers

The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of water in gallon after x hours.

The y intercept is (0, 175), hence b = 175.

The line passes through (0, 175) and (7, 0), hence::

Slope = (0 - 175) / (7 - 0) = -25

The equation is y = -25x + 175

The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

Find out more on linear equation at: https://brainly.com/question/14323743

Lenny has a job that pays $8 per hour plus tips (t). Lenny worked for 4 hours Monday and made $65 in all. Which equation could be used to find t, the amount Lenny made in tips?

Answers

Answer:

t= 33

Step-by-step explanation:

4(8) +t = 65

32+t=65

t=33

Hope this helps!

Step-by-step explanation:

T = hourly pay (8$)

Y = hours worked

T • Y = 32

65-32 = 33$ in tips

What is the equation of the following line written in slope-intercept form? x-intercept of 2
1.y = 2
2.x=2
3.x = -2​

Answers

Answer:

The correct answer is x=2

Step-by-step explanation:

The equation of the given line written in slope-intercept form is  y=x-2.

From the given figure, x-intercept of 2.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope is 0

Substitute (x, y)=(2, 0) and m=1 in y=mx+c, we get

0=1(2)+c

c=-2

Put m=1 and c=-2 in y=mx+c, we get

y=x(1)-2

⇒y=x-2

Therefore, the equation of the given line written in slope-intercept form is  y=x-2.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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20. The diagram shows a supplementary angle. Determine the value of x. *

Answers

Answer:

C

Step-by-step explanation:

supplementary angles sum to 180° , then

3x + 15 + 60 = 180 , that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

The product of c and 3 is greater than -26

Answers

Answer:

The given phrase "The product of c and 3" can be converted into an algebraic equation as C (times) 3

Step-by-step explanation:

I might be wrong but i rlly hope this helps u in some way :)

Answer:

[tex]3c > -26[/tex]

Step-by-step explanation:

"The product of c and 3" means to multiply c with 3: [tex]c * 3[/tex] or [tex]3c[/tex]

"is greater than": [tex]>[/tex]

"-26": -26

Put the terms together:

"The product of c and 3 is greater than 3": [tex]3c > -26[/tex]

whats 3x+27=39 will mark brainliest​

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+39=3x+27 i think your welcome :)

Write two equivalent ratios to 10:14

Answers

Answer:

20:28 and 30:42

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

10/2 : 14/2 = 5:7

10 * 2 : 14 * 2 = 20:28

Hope this helps.

Can anyone answer this?

Answers

To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on

 --> so:

   ∠A ≅ ∠Y

   ∠B ≅ ∠Z

   ∠C ≅ ∠X

To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.

--> so:

    AB ≅ YZ

    AC ≅ YX

    BC ≅ ZX

And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length

Hope it helps!

Choose two numbers which absolute value of 5 1/2

Answers

Answer:

11/2,5.5

Step-by-step explanation:

Can someone please help?!

Answers

Answer:

Go to symbolab . com and enter in the problems, it will give you the answers and show you the steps it took to solve them

Step-by-step explanation:

HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1

Answers

Answer:

The blue and yellow macaw is 33 inches long.

Step-by-step explanation:

If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.

22 ÷ 2 = 11

So then you have to multiply by 3 to find what the full length is.

3 x 11 = 33 inches

Hope that helps and have a great day!

Answer:

33 in

Step-by-step explanation:

Let the length of the macaw be xThe length of the toucan is 22 in

Then we have equation

x*2/3 = 22x = 22 ÷ 2/3x = 22*3/2x = 33 in

Blue-and-yellow macaw is 33 in long

I WILL GIVE BRAINLEST.Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? Use words, pictures, and an equation to explain your thinking.

Answers

Answer:

4/5 brownies for each person.

Step-by-step explanation:

4 brownies between 5 people equals 4/5, or 4 divided by 5.

In 2021, Carla was making $15 per hour and worked 20 hours per week for 25
weeks. How many Social Security credits did she earn?

Answers

Answer:

Approximately 42 credits

Step-by-step explanation:

First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00

Second find how much she makes for those 25 weeks: 375*25: 65,625

Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.

So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.

Helena’s family drank 4,600 milliliters of milk for breakfast on Friday. On Saturday they drank 2 times as much milk as they did on Friday. how many liters of milk did they drink in total?

Answers

Answer:

9.2 liters of milk

Step-by-step explanation:

4600 * 2 = 9200

9200 milliliters = 9.2 liters

Are the ratios 1:2 and 9:18 equivalent?

Answers

Answer:

Yes! Because they are in proportion: 1x9 = 9, 2x9 = 18 therefore, 1:2 and 9:18 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number. Hope this helped!

Step-by-step explanation:

If you need further help, let me know!

- profparis

The first term of a sequence is 2, the third term is 18, and the fifth term is 162. What is
the second term of the sequence?

Answers

Answer:

[tex]a_2=6[/tex]

Step-by-step explanation:

Geometric sequence general formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

[tex]a_1=2[/tex][tex]a_3=18[/tex][tex]a_5=162[/tex]

Therefore,

[tex]a_1=2 \implies a=2[/tex]

[tex]a_3=2 \cdot r^2=18[/tex]

[tex]a_5=2 \cdot r^4=162[/tex]

To find common ratio r, divide 5th and 3rd terms:

[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]

[tex]\implies r^2=9[/tex]

[tex]\implies r=\sqrt{9}=3[/tex]

Therefore, geometric sequence formula:  [tex]a_n=2 \cdot 9^{n-1}[/tex]

So second term of sequence:

[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]

Help please this is due soon zzzzzzszzsszzndbdbdjdbdndn

Answers

P = 40 + 12 + 28 + 16 + 12 + 28

P = 136 ft.

Attached solved problem.

Consider marking "Brainliest".

Thank you.

WILL GIVE BRAINLIEST!!!
(06.02 MC)
A scatter plot with a line is shown:


Which statement is most likely correct about the line? (5 points)
It can be a line of best fit because it passes through all the data points
It can be a line of best fit because it is close to most data points
it cannot be a line of best fit because it does not pass through all the points.
it cannot be a line of best fit because it does not pass through the first and last points

Answers

Answer: The answer is B:)))

Step-by-step explanation:

It can be the line of best fit because it is close to most data points. 

What is the value of x?
o x=2
o x=3
o x=4
o x=6

Answers

Answer: x=3

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below . Solve for x

Answers

Answer:

180=90+63+4x+3

6=x

Step-by-step explanation:

Me podrian ayudar con ese ejercisio por favor?? Me salvarian 4. Dadas las sucesiones de término general an = n + 3 y bn = 5n − 1 , realiza las siguientes operaciones: a) an – bn b) an + 3bn 5. Escribe los ocho primeros términos de la sucesión ( an ) dada por: a1 = 1, a2 = 1, an = an−1 + an−2

Answers

Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

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