2. Celeste was selling meal tickets for the holiday program at her school. The

cost of a dinner ticket is $10. She is also selling dessert tickets for $6. She lost

track of how many of each ticket she sold; however, she remembered that she

was given 100 tickets and she collected $900. The system of equations shown

can be used to represent this situation: Part A: What does the variable x

represent in this system of equations?

A. The number of dinner tickets sold.

B. The number of dessert tickets sold.

C. The number of dollars collected for dinner tickets.

D. The number of dollars collected for dessert tickets. ption 1

Answers

Answer 1

Answer:

A. The number of dinner tickets sold.

Step-by-step explanation:

Celeste was selling meal tickets for the holiday program at her school. The

cost of a dinner ticket is $10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold; however, she remembered that she was given 100 tickets and she collected $900.

Let us represent

Number of dinner tickets = x

Number of dessert tickets = y

From the above question, our system of equations is given as:

x + y = 100...... Equation 1

$10 × x + $6 × y = $900

10x + 6y = 900...... Equation 2

Therefore, the variable x in this system of equations represents the number of dinner tickets sold.

Option A is the correct option.


Related Questions

Write the equation of the line passing through the point (-2; 2) that is
PERPENDICULAR to y = -2x + 1 in slope-intercept form. 

Answers

Answer:

2y-x-6=0

Step-by-step explanation:

Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around the gazebo, of constant width $1$ unit, as shown below. (Every point on the ground that is within $1$ unit of the gazebo and outside the gazebo is covered by the pathway.) Find the area of the pathway.

Answers

Answer:

Area of pathway = 10.375 unit²

Step-by-step explanation:

Given - Peter has built a gazebo, whose shape is a regular heptagon, with

             a side length of 1 unit. He has also built a pathway around the

             gazebo, of constant width 1 unit, as shown below.

To find -  Find the area of the pathway.

Proof -

Central angle = [tex]\frac{360}{7}[/tex] = 51.43°

Now,

Central angle / 2 = [tex]\frac{360}{14}[/tex] = 25.71°

And

height = [tex]\frac{1}{2}.\frac{1}{tan25.41}[/tex] = 1.038

Now,

Inner area of gazebo = 7·[tex]\frac{1}{2}[/tex]·1·(1.038) = 3.634 unit²

Outer area of gazebo = ([tex]\frac{2.038}{1.038}[/tex])²·(3.364) = 14.009 unit²

∴ we get

Area of pathway = Outer area - Inner area

                            = 14.009 - 3.634

                            = 10.375 unit²

⇒Area of pathway = 10.375 unit²

Someone please help me ASAP because I am really stuck thank uuuuu!!!!!

Answers

81/200 is the answer

Answer:

2 3/10

Step by step explanation:

pleasei need a sulutoin​

Answers

Answer:

19 days

Step-by-step explanation:

Total cost: 587.50

He has: 150.00 + 200.00 = 350.00

He needs an additional: 587.50 - 350.00 = 237.50

He saves 12.50 per day.

137.50/12.50 = 19

Answer: 19 days

Answer:

19 days

Step-by-step explanation:

150+200=350

587.5-350=237.5

237.5/12.5=19

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

Answers

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

Given information,

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

X: The letter selected comes before "E".

Y: The letter selected is found in the word "FACE".

The outcomes in favour of X will be:

[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]

The outcomes in favour of Y will be:

[tex]Y=\left \{ A,C,E,F \right \}[/tex]

Therefore,

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

For further details refer to the link given below:

https://brainly.com/question/795909

8v+5=1
v=_
pls help!!!

Answers

The answer is V = - 1/2. You need to subtract 5 on both sides -> 8v = 1-5 -> 8v=-4 and then divide by 8 to isolate the variable v to give you v=-1/2
v= -1/2
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)

Having trouble understanding....please help me.

Answers

Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar.  This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.

If you roll a standard die, what is P(6) ? (probability of rolling a 6)

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 sides to a die, and 6 occupies one side, so the probability of rolling a 6 is 1/6.

Answer:

1/6 or 16.7%

Step-by-step explanation:

When you roll a standard die, the probability of getting 6 is 1/6 or 16.7%

For each data set listed, determine the requested values.
1. 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102

Answers

put the numbers in order

32,34,38,45,49,66,66,69,71,72,74,75,102

Q1 = (38 + 45)/2 = 41.5

Q2 (the median) = 66

Q3 = (72 + 74)/2 = 73

Interquartile range (IQR) = Q3 - Q1 = 73 - 41.5 = 31.5

A culture of bacteria has an initial population of 110 bacteria and doubles every 6
hours. Using the formula P = Po - 2ả, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 19 hours, to the nearest whole number?

Answers

Answer:

988

Step-by-step explanation:

solve 7/t+8=6v-8u for t

Answers

Answer:

t=7/(6v-8u-8)

Step-by-step explanation:

Isolate t

7/t=6v-8u-8

7/6v-8u-8=6v-8u-8*t/6v-8u-8

t=7/(6v-8u-8)

You can simplify it

t=7/2(3v-4u-4)

30/9 as an improper fraction

Answers

Answer:

10/3

3 1/3

Step-by-step explanation:

Which equation defines a function whose inverse is not a function?
A. y=x^2
B. y=x
C. y=4x-2
D. y=3^x

Answers

Step-by-step explanation:

d maybe byeee jziziznssusuisbzs

Can someone please help? ​

Answers

x = -7 x = 0 and x = 7

Answer:

x= -9, x=9

Step-by-step explanation:

hope i helped if i did it wrong lmk i can try doing it better

The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equivalent position-to-term formula. Your answer should be an expression in terms of .

Answers

Answer:

4x+1

Step-by-step explanation:

What is the exact value?

Answers

Answer:

5/13 = 0.384615 (repeating)

Step-by-step explanation:

Hope that helps!

The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),
and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?

Answers

Step-by-step explanation:

step 1. P(0, 1) -> P'(0, -1)

step 2. Q(0, 0) -> Q'(0, 0)

step 3. R(-2, 0) -> R'(2, 0)

Two out of every 12 students in a class say history is their favourite subject. There are 24 students in the class. How many students like history best?

Answers

ANSWER: 4
2/12 would equal to 4/24

Liam ate 1/3 of 3/4 of a pizza. How much pizza did Liam eat?

Answers

Answer:

Liam ate 5/12 the pizza

Step-by-step explanation:

Answer:

Liam would have eaten 5/12 of the pizza.

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

PLEASE HELP ASAP
Finding angles!!

Answers

Answer:

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 6: 65

Angle 7: 115

Step-by-step explanation:

Find the value of angle 2 by applying the vertical angles theorem (65)

Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)

Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)

Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.

he following graph shows the low temperatures for the past six nights. If the line continues as it has for the past six nights, which of the following is a good prediction for Tuesday night's low temperature?

Answers

37 would be a good prediction

Answer:

37

Step-by-step explanation:

plz plz plz plzp lzp l help

Answers

Answer:

1.037 x 10^7

Step-by-step explanation:

This is observed variable in an experiment or study changes are determined by the presence or degree of one or more independent variables when graft this variable is usually on the vertical axis

Answers

Answer:

This is the observed variable in an experiment or study whose changes are determined by the presence or degree of one or more independent variables. When graphed, this variable is usually on the vertical axis.

Step-by-step explanation:

Please help will b4ainlist

Answers

Answer:

(2x+1)(x-3)

x=-1/2,x=3

Step-by-step explanation:

Depends what method you use but I would do...

-3*2=-6

-6x+1x

-6x/2=x-3 and 1x/2= 2x+1

(2x+1)(x-3)

Now solve by equalling it to 0

2x+1=0

2x/2=-1/2

x=-1/2

x-3=0

x=3

Can anyone please help thank you

Answers

if each set of parallel sides are equal length, x=12 and y=3

(a)
A farmer bought a tractor for Rs 400000 and sold it after using at 10% depreciation rate per year.what is the cost of the tractor after 2years?​

Answers

Answer:

320,000

Step-by-step explanation:

Step-by-step explanation:

Hope my answer helps mark me brainliest

Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89.

How much money does Rosa spend altogether?

Answers

Answer:

Rosa spend altogether Is 8.64

Step-by-step explanation:

Answer:

8.64

Step-by-step explanation:

u add 6.75 + 1.89.

=8.64

A service station sells gasoline for $3.25 per gallon
and diesel fuel for $3.00 per gallon. On Monday, the
service station's revenue from selling a total of 131
gallons of gasoline and diesel fuel was $404.25. How
many gallons of diesel fuel did the service station sell
on Monday? Show your work
A) 35
B) 55
C) 76
D) 86

Answers

Answer:

86

Step-by-step explanation:

86 x 3 + 45 x 3.25 = ? If it equals 404.25 than the answer is 86

76 x 3 + 55 x 3.25 = ? If it equals 404.25 than the answer is 76

55 x 3 + 76 x 3.25 = ? If it equals 404.25 than the answer is 55

35 x 3 + 96 x 3.25 = ? If it equals 404.25 than the answer is 35

The number you multiply by 3 is the answer.

86 x 3 + 45 x 3.25 = 404.25

Can i have brainleist i did all this?

solve for x with working​

Answers

Answer:

1

in this *represents x

8*-¹=2/16*

8*-¹= 2/(2)⁴*

8*-¹=2/2⁴*

on comparing quantities , we get

x-1=0/4x

x-1=0

x=1

Can somebody plz help answer this math problem correctly (only if u know how to do this) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST:DDDD

Answers

Answer:

23

Step-by-step explanation:

2.3 x 10

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