Mrs. Becker is selling tickets to an art exhibit, but she lost the receipts. She knows that she has sold at least 20 tickets. The adult tickets (x) cost $14 and the children’s tickets (y) cost $12. If she knows she has sold no more than $420 worth of tickets, write a system of inequalities to model the ticket sales.

Answers

Answer 1

9514 1404 393

Answer:

x+y≥2014x+12y≤420

Step-by-step explanation:

Variables are defined in the problem statement.

  x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

  14x +12y ≤ 420 . . . . sales were at most $420


Related Questions

12) Two rectangles are similar. The length of small rectangle is 4 and the length of the big
rectangle is 12. If the perimeter of the smaller rectangle is 28, then what is the perimeter
of the larger rectangle

Answers

Answer:

84

Step-by-step explanation:

To get from 4 to 12, you multiply with 3.

Everything is 3 times as big in the larger rectangle.

This includes the perimeter.

Example:

small rect 4x10, perimeter 4+4+10+10 = 28

large rect 12x30, perimeter 12+12+30+30 = 84

but also 28x3 = 84

The perimeter of the larger rectangle is 84.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that length of small rectangle is 4 and the length of the big

rectangle is 12. If the perimeter of the smaller rectangle is 28,

The small rectangle

length = 4

perimeter = 28

The big rectangle

length = 12

perimeter = ?

The small rectangle perimeter = 2l + 2w

28 = 2 * 4 + 2 w

28 - 8 = 2w

20 / 2 = w

10 = w

The big rectangle perimeter;

4 w = 10 * 12

w = 120 / 4 = 30

Perimeter = 2*12 + 2*30

= 24 + 60 = 84

The perimeter of the big rectangle is 84.

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(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1

Answers

Answer:

2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.

Step-by-step explanation:

c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

The slopes of the asymptotes of the hyperbola are +3 and -3.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The standard equation for a hyperbola with a horizontal transverse axis is:

[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]

where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.

Comparing this to the given equation:

[tex]x^2/2^2 - y^2/6^2 = 1[/tex]

We can see that h = k = 0, a = 2, and b = 6.

The slopes of the asymptotes are given by:

±(b/a)

So, the slopes of the asymptotes are:

±(6/2) = ±3

Therefore,

The slopes of the asymptotes of the hyperbola are +3 and -3.

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a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD

Answers

Is anyone’s Brainly ads not working

Answer:

D. The actual price is 12.5% higher than the expected price.

Step-by-step explanation:

hope i helped :)

What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)

a
12

b
13

c
16

d
18

Answers

Answer:

106

Step-by-step explanation:

10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106

can someone explain this to me?? so im trying to find the scale factor of quadrilateral I to quadrilateral II and the answer is 1/2 but how does that make sense if quadrilateral I is smaller than Quad II? if we were to use the scale factor wouldnt it just divide our side lengths in half?

Answers

Answer:

the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.

Step-by-step explanation:

BC=2CD

10x=20

x=10/20

x=1/2

if u want to find the other angle then it is 2 times of the smaller quad that will be:

AG=FE

15=2(15)=30

AB=ED

9=2(9)=18

GC=FC

13=2(13)=26

Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided

Answers

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

Answer:

3 (1/3p+3-5), p-6, 3(1/3p-2)

Step-by-step explanation:

I did the iready quiz and got it correct.

In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999

Answers

Answer:  0.432

======================================================

Explanation:

There are 8+11 = 19 movies that are either horror or mystery.

This is out of 9+12+8+11+4 = 44 movies total.

Divide the two sums to get 19/44 = 0.43181818181818 approximately.

This rounds to 0.432

There's roughly a 43.2% chance of picking a horror or mystery movie.

Person above is correct

Ivana has $350 in her savings account. She
decided to spend $140 of it on a field trip.
What percent of her savings did she spend
on the field trip?

Answers

Answer:

40%

Step-by-step explanation:

140/350=0.4

0.4 x 100=40

Which brand would Cala need more of to fertilize her 450-foot row of vegetables

Answers

Answer:

What do,you mean

Step-by-step explanation:


Which of the following best describes the expression 6(y + 3)?


Please !

Answers

Answer:

The product of a constant factor of six and a factor with the sum of two terms

Step-by-step explanation:

The product of a ration number and irrational number is ______ an irrational number

Answers

Answer

always

Step-by-step explanation:

You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.

What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.




$30 per pound


$0.14 per pound


$7 per pound


$14 per pound

Answers

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

PLEASE HELP!!!! WILL GIVE POINTS

Answers

Answer:

3.0

Step-by-step explanation:

You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?

Answers

Answer:

One Serving - 1/4 teaspoon

240 Serving - 60 teaspoon

plz mark as brainliest

The sum of three consecutive integers is 12 less than 4 times the middle integer

Answers

Answer:

[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]

Step-by-step explanation:

We can set up the following equation with the information given:

[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.

Solving, we get:

[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].

The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

What are integers?

Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.

Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.

So if we have to form an equation for three consecutive numbers, it will,

(x-1), x, (x+1),

Now, according to the question,

(x-1) + x + (x+1) =  4x -12

Solve the equation,

3x = 4x -12

x = 12

Hence, first integer = 12 -1 = 11,

Second integer = 12,

Third integer = 12+1 = 13.

Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

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Evaluate the expression when a =
and b = 6.
16a? – 4b =

Answers

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Step-by-step explanation:

We find the equation of the solid blue line:

The line decreases by 1 unit for every 3 units across.

=> Slope of line = -1/3.

Also the y-intercept is 1.

=> Line equation: y = -1/3 x + 1.

We see that the graph below this line is shaded.

Therefore all y-values below or on the line are represented by the graph.

=> y <= -1/3 x + 1.

The answer is y <= -1/3 x + 1.

what is the equation of the line passing through the points (-4,-7) and (8,-13)

Answers

Answer:

y=5/3x-79/7

Step-by-step explanation:

(-4, -7)

x1    y1

(8,-13)

x2   y2

y2-y1/x2-x1=

13+7/8+4= 20/12= 10/6= 5/3

y=5/3x+b

-7=5/3(-4)+b

The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The given points are (-4,-7) and (8,-13).

Then the equation of a line passing through the points (-4,-7) and (8,-13) will be

[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]

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Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.
Tossing two coins and getting either one head or two heads
Choose the correct answer below.

Answers

Answer:

Assuming that each coin is fair and is equally likely to land heads or​ tails, the probability is 3/4.

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the

cost of a pen to the cost of a ball pen. [1 ½ m]

Answers

Answer:

Ratio of cost of a pen to cost of a ball pen is 15:7

Step-by-step explanation:

Given that:

Cost of dozen pens = ₹180

Unit rate = [tex]\frac{180}{12}[/tex]

Unit rate = ₹ 15 per pen

Cost of 8 ball pens = ₹ 56

Unit rate = [tex]\frac{56}{8}[/tex]

Unit rate = ₹7 per ball pen

Ratio of cost of a pen to cost of a ball pen,

15 : 7

Hence,

Ratio of cost of a pen to cost of a ball pen is 15:7

What is the slope of the line in the graph?
5
W
4
3
3 2 1
2 3 4 5 X
-5 -4 -3 7-11
-2
-3
-5
1

Answers

Answer:

the slope of this line is 1

Answer:

The slope of this line is 1

Urgent help need it plz​

Answers

Answer:

angle 1 = 51

angle 2 = 34

angle 3 = 95

angle 4 = 38

angle 5 = 47

angle 6 = 74

angle 7 = 59

Step-by-step explanation:

a straight line is 180 degree, so to find angle 1, subtract 129 by 180.

angle 2 is found by adding angle 1 and 95 then subtract that by 180.

angle 3 and 95 are opposite angles, so they are the same

for angle 4, add angle three and 47 then subtract that by 180

angle 5 is 47, they are opposite

angle 7, subtract 121 by 180

angle 6, you add angle 5 and 7, and subtract that by 180

they already answered! but good luck :)

5 is what percent of 8 I need ASAP

Answers

Answer:

62.5%

Step-by-step explanation:

Answer:

Fraction Percent

4/8         50%

5/8         62.5%

6/8         75%

7/8       87.5%

Step-by-step explanation:

I think this is right

my first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y

1. x-5-2x=1 OR

2. x+5-2x=1

Answers

Answer:

All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:

given the second expression:

x - y = 1

We'll replace y with it's value in the first expression:

x - (y) = 1

x - (5 - 2x) = 1

Now we can expand the resulting equation:

x - 5 + 2x = 1

So neither of the answers provided are correct.

You can then solve for x:

x - 5 + 2x = 1

x - 5 + 5 + 2x = 1 + 5

x + 2x = 6

3x = 6

3x/3 = 6/3

x = 2

After that, you can find y by plugging x into either of the two original equations:

y = 5 - 2x

y = 5 - 2(2)

y = 5 - 4

y = 1

(13x+2)+(3x-4)+(5x-7)​

Answers

I’m not 100% sure but I think the answer to this would be 21x - 9.

Answer:

13x+2+3x-4+5x-7=180

Step-by-step explanation:

Please I really need help on this one

Answers

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

Please help with this worksheet

real numbers

Answers

I DO NOT KNOW JUST GIVE ME A SECOND.

Will give brainliest!!! Please help

Answers

Answer:

1. F(12)

2. F(m) = 2,500

3. F(v) ≥ 3,000

4. 0.9F(30)

Answer:

There are many answers to this one. Look at the step-by-step explanation.

Step-by-step explanation:

1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).

2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.

3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.

4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

can anyone please help with this???

Answers

Answer:

car is decelerating

Step-by-step explanation:


Cam divided x^4
+ 3x² - 4x – 2 by the factor x-2 using synthetic division. His work is shown. Identify his
mistake.

2 1 3 -4 -2
2 10 12
——————
1 5 6 10

x^3+5x^+6x+10
——
x-2

Answers

Answer: cam did not use a zero place holder for the x^3 term

Step-by-step explanation:

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