Adult tickets for an art exhibit cost $15. Tickets for students cost $8.
Martin has $180 to buy 2 adult tickets and 20 student tickets.
Martin says he has enough money to buy all of the tickets because $8 × 20 = $160 and $160 is less than $180.

Critique Martin's reasoning. Which statements are correct? Choose all that apply.

A.
Martin correctly found the total cost of the tickets.

B.
Martin did not include the cost of the adult tickets.

C.
The cost of the two adult tickets is $15.

D.
Martin correctly concludes that he has enough money to buy all of the tickets.

E.
The total cost is $190, so Martin does not have enough money.

Answers

Answer 1
Answer: A and D are TURE statements.
Answer 2

Answer:

The correct answers are B & E

Step-by-step explanation:

The cost of adult tickets: 15$ * 2= 30$

The cost of student tickets: 8$ * 20= 160$

=> All the tickets cost 30$ + 160$= 190$

=> Martin still needs 10$ more to buy all of the tickets


Related Questions

what is the mean of 13,5,11,8,14,15

Answers

Answer:

11

Step-by-step explanation:

The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.

Answer:

11 is your mean

The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies

Answers

Answer:

97

Step-by-step explanation:

196 ÷ 2 = 97.5

you cannot include the .5, so each school gets 97 pies

The mathematics faculty at a college consists of 12 ​professors, 6 associate​ professors, 9 assistant​ professors, and 8 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor.

Answers

Answer: [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

P(a) or P(b) = P(a) + P(b)

This means that the probability of a or b is the same of the probability of a plus b

So let's see the probability of a, selecting a professor

[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]

We won't simplify just yet so that addition will be easier later

Now let's see the probability of selecting b, an instructor

[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]

Now add the 2 probabilities together

[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]

Simplify.

[tex]\frac{20}{35} =\frac{4}{7}[/tex]

If P = (-6, 9), Find:
r90°(P)
([?], [ ]

Answers

Answer:

(-9, -6)

Step-by-step explanation:

Rotation 90° = (x, y) --> (-y, x)

(-6, 9) --> (-9, -6)

hope this helps and is right!! p.s. i really need brainliest :)

What is 1 + 1 x 2 Whoever answers it gets brainiest

Answers

Answer:

It's equals 3

Step-by-step explanation:

1 + 1 x 2=3

Answer:

3

Step-by-step explanation:

PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)

Add and subtract (left to right) (1 + 2 = 3)

A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the chocolate bar? (10 points) [help if you want points!]

Answers

total mass = mass of a bag of candy + mass of a chocolate bar

total mass = 80g +110g = 190g

A test requires two hours to attend five questions if a candidate spent 80 minutes on the first two question what fraction of the time did he spend on the remaining three question​

Answers

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

Jackie has three pieces of ribbon Two of the pieces are q.75 inches in length and the other piece is 6.8 inches long. What is the combined length of Jackie's ribbons?​

Answers

Answer:

7.55 inches

Step-by-step explanation:

Add the two values together:

0.75 + 6.8 = 7.55

The combined length of Jackie's ribbons is 7.55 inches!

PLEASE HELP BEFORE MIDNIGHT

Answers

Answer:

Step-by-step explanation:

Variance=0.0016

Standard deviation is the square root of variance.

sigma=sqrt(0.0016)=0.04

mean=0.9 inch

Calculating z for 0.936 inch

z = (0.936 - 0.9)/0.04

= 0.036/0.04

= 0.9

Using normal distribution table

P(x<=0.936 inch)

= P(0.9)

= 0.81594

P(x>0.936) + P(x<=0.936) = 1

P(x>0.936)

= 1 - P(x<=0.936)

= 1 - 0.81594

= 0.18406

= 0.1841

Help me pls answer 1&2&3 pls brainless

Answers

Answer:

3,1,5

Step-by-step explanation:

Express 9 2/3 out of 100 as a percent .

Answers

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

Arcs and angles relay puzzle

Answers

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

What is the Angles of Intersecting Chords Theorem?

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

Learn more about the angles of intersecting chords theorem on:

https://brainly.com/question/1626547

At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee 73 63
Banana 53 103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
Price Strategy
Revenue from Pricing Strategy
Cost from Pricing Strategy
Profit from Pricing Strategy
1. Mixed Bundling
$
$
$
2. Price Separately
$
$
$
3. Bundle Only
$
$
$
Pricing strategy yields the highest profit for the café owner.

Answers

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

Mixed bundling = 209.Price separately = 199.Bundle Only = 202.

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

What is the profit from Mixed bundling?

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

What is the profit from pricing separately?

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

What is the profit from price separately?

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at https://brainly.com/question/7303679.

HELP WILL GIVE BRAINLIEST!!!!

2. Which of the following equations is FALSE?

BC=20

AC=20

BD= 10

AD= 10

Answers

Answer:

letter c the BD= 10

Step-by-step explanation:

Answer:

BD=10

Step-by-step explanation:

1. BAD=BCD=60

Therefore

BA = BC (sides opposite to equal angles are equal)

BA=20

Therefore BC=20

2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)

60+60+ABC=180

ABC=180-120

ABC=60

ABC=BAC=BCA

Therefore ABC is an equilateral triangle

AC=20

4. AC=AD+DC

AD=DC (BD is a perpendicular bisector)

Therefore

AC=2×AD

AC=20

20=2×AD

AD=20÷2

AD=10

Hope this helps!

Convert 68% As a fraction

Answers

Answer:

68/100

Step-by-step explanation:

It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)

Which of these describes an angle?

Extends in both directions with no end
The amount of turn between two straight lines that have a common endpoint, or vertex
A part of a line that connects two endpoints
Has a start point but no endpoint

Answers

A part of a line that connects two endpoints I believe

18.
Given that sin x =
8
and sin y = , where x and y are acute, find the value of cos (x + y).
17
A.
B.
130
221
140
221
140
204
220
22
C.
D.

Answers

Answer:

B

Step-by-step explanation:

[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]

[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]

[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]

PLS HELP OMG I CANT FIND IT
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8

graph below pls help

Answers

Answer:

  (d)  k = 8

Step-by-step explanation:

The value k in the equation ...

  g(x) = f(x) +k

represents a vertical translation by k units.

__

The vertex coordinates for f(x) and g(x) are ...

  f(x): vertex = (-3, -3)

  g(x): vertex = (-3, 5)

This means ...

  f(-3) = -3

  g(-3) = 5 = f(-3) +k = -3 +8   ⇒   k = 8

_____

Additional comment

Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.

How many possible outcomes exist? 2 3 5 6

Answers

Answer:

1.) C2.) C3.) D4.) D5.) C

Step-by-step explanation:

so urgent pls

Answers

Answer:

B

because if you were looking for time that is less than and equal to you would have to choose (c) as you answer

If you spend 1.5 hours a week studying for English and 5 hours studying for math what is the ratio of time spent studying in math to studying for English?

Answers

Answer:

1.5/5

Step-by-step explanation:

For every 1.5 hours your spend studying English, you spend 5 hours studying Math.

Brainliest please?  

Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?
Please don't send a link!

Answers

$36
If you subtract 10% from 40 you get 36… and that’s with no tax

$36 is the price after the discount but before tax.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the store was offering a 10% discount.

The price on the tag was $40

We have to find the price after the discount but before tax,

The discount is 10% of $40, which is:

0.1 x $40 = $4

So the discounted price is:

$40 - $4 = $36

Hence, $36 is the price after the discount but before tax.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Evaluate the expression for x = 6 and y = 4.
xy-3y =
Answer:

Answers

Answer:

12

Step-by-step explanation:

Since given that:

x = 6 and y = 4

we can substitute:

xy - 3y

(6)(4)-3(4)       {6*4 = 24}

24 - 3(4)         {3*4=12}

24 - 12 = 12

Hence, the answer = 12

~lenvy~

Answer: 12

Step-by-step explanation:

 Given:

 xy - 3y

 Plug-in the values we know:

(6)(4) - 3(4)

 Multiply 6 by 4 and 3 by 4:

24 - 12

 Subtract:

12

                    xy - 3y = 12

I need someone to solve this ASAP.

Answers

Answer:

320 ft²  (nearest whole number)

Step-by-step explanation:

Given:

height of fence post = 8 ftdiameter of fence post = 1 ft  ⇒  radius = 0.5 fttotal number of posts = 12π = 3.14

Surface area of a cylinder = 2πr² + 2πrh

⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8

                                       = 1.57 + 25.12

                                       = 26.69 ft²

As there are 12 fence posts,

Total paint needed = 12 × 26.69

                                = 320.28 ft²

                                = 320 ft² (nearest whole number)

In a basketball game, Shawna made 8 baskets, each worth 3 points.
Daryl made the same number of points in the game but made only baskets worth 2 points.
How many baskets did Daryl make?

A.
6 baskets

B.
9 baskets

C.
12 baskets

D.
24 baskets

Answers

Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16

Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)

In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when will the population reach 20 million?

Answers

Answer:

49.9 years or 50 years later. At year : 2042

Explanation:

use compound interest formula:  [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]

[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]

[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]

[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]

[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]

[tex]\rightarrow\sf n = 49.8563 \ years[/tex]

Answer:

General form of an exponential equation:  [tex]y=ab^x[/tex]

where:

a is initial valueb is the base (or growth factor in decimal form)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing functionIf 0 < b < 1 then it is a decreasing functionAlso b ≠ 0

Given information:

initial population = 10 milliongrowth rate = 1.4% each year

⇒ growth factor = 100% + 1.4% = 101.4% = 1.014

Inputting these values into the equation:

[tex]\implies y=10(1.014)^x[/tex]

where y is the population (in millions) and x is the number of years since 1992

Now all we need to do is set y = 20 and solve for x:

[tex]\implies 10(1.014)^x=20[/tex]

[tex]\implies 1.014^x=2[/tex]

[tex]\implies \ln 1.014^x=\ln 2[/tex]

[tex]\implies x\ln 1.014=\ln 2[/tex]

[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]

[tex]\implies x=49.85628343...[/tex]

1992 + x = 2041.8562....

Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.


Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.

-
-
Use the sketch tool if it helps you with your thinking.
Submit

Answers

Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.

2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3

x=3

Answer:

See below ↓

Step-by-step explanation:

Let's find the x and y values.

Step 1 : Equate the y expressions.

The two equations have given different values for yTherefore by equating them, we can solve for x2x - 5 = -2/3x + 3

Step 2 : Convert fractions in the equation to whole numbers.

The value -2/3 is a fractionWe can make it a whole number if multiply throughout by the value of its denominator ⇒ 33(2x - 5) = 3(-2/3x + 3)6x - 15 = -2x + 9

Step 3 : Bring x terms to one side and constant terms to the other.

6x + 2x = 9 + 158x = 24x = 3

Step 4 : Solve for y by plugging the value of x into one of the given equations.

y = 2(3) - 5y = 6 - 5y = 1

What is 8x25 to ding out the answer please
Please I need help please help

Answers

Answer: 8x25= 200

Step-by-step explanation: 200

Answer:

8×25

=200 is the answer ok

What is the area?
This is 6th grade math

Answers

Answer:

Find the base, and then the height of this rhombus;

Base: 7 square units

Height: 7 square units

Multiply your base by the height to get the area;

Because the formula for the area of a rhombus is, A = BH

So,

A = 7(7)

A(area) = 49 square units.

Someone help me ASAP !!!!

Answers

Answer:

ok sure wait

Step-by-step explanation:

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