At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16

4r + 2f ≤ 40

A graph shows r on the x-axis, from 0 to 18, and f on the y-axis, from 0 to 20. Two solid lines are shown. The first line has a negative slope and goes through (0, 20) and (10, 0). Everything to the left of the line is shaded. The second line has a negative slope and goes through (0, 16) and (16, 0). Everything above the line is shaded.
What is the maximum number of ride tickets she can buy?

4
6
10
12

Answers

Answer 1

The maximum number of ride tickets that she can buy is A. 4.

How to illustrate the information?

It should be noted that the system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16

4r + 2f ≤ 40

The two inequalities are first shown on the graph as seen in the attachment. The graph demonstrates where the two in-equations intersect (4,12).

Consequently, we can observe that r has a maximum value of 4. This was illustrated in the graph.

In conclusion, the correct option is A.

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At Most, Alana Can Spend $40 On Carnival Tickets. Ride Tickets Cost $4 Each, And Food Tickets Cost $2

Related Questions

Help please if u can show ur work please

Answers

Answer: 28 feet

Step-by-step explanation: The ratio of length to width is 2:1. Add the 2 numbers and it will give you 3. Then, divide 84 by 3 and it will give you 28. Times this by 1 (as the ratio of the width is 1). This will give you 28.

jamie is pedaling due south a 8 mi/hr. his sister, martha, is pedaling due west at 5 mi/hr. after 2 hours, how fast are the two cyclists moving apart?

Answers

Both cyclist are moving apart at a speed of 9.434 mi/hr.

What is velocity?

Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).

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What are the first five terms of the following sequence a1=42, an=an-1-7

Answers

The first five term of the sequence are 42, 35, 28, 21 and 14.

According to the given question.

We have a rule for finding the terms of a sequence i.e. [tex]a_{n} = a_{n-1} -7[/tex].

Also, the first term of the sequence is a1 = 42

Therefore,

The second term of the sequence is given by

Second term [tex]a_{2}[/tex] = [tex]a_{1}[/tex] - 7

⇒ Second term = 42 - 7 = 35

Similarly,

The third term of the sequence, [tex]a_{3}[/tex] = [tex]a_{2}[/tex] - 7 = 35 - 7 = 28

Fourth term of the sequence = 28 - 7 = 21

Fifth term of the sequence = 21 - 7 = 14

Hence, the first five term of the sequence are 42, 35, 28, 21 and 14.

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Write each set using braces to list the elements, in interval notation, and in set-builder notation. If not possible, explain why

Answers

Answer: B

Step-by-step explanation:

Mario uses 14 pound of walnuts to make muffins. he uses the same amount of walnuts in each of 6 muffins. what is the amount of walnuts in each muffin?

Answers

Answer:

he uses 2.33333333333 amount of walnuts in each muffin

Step-by-step explanation:

14 divided by 6 = 2.33333333333

Have a nice day!

a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?

Answers

The number is 5, the equation used is [tex]x^{2}[/tex] - x - 20 = 0

Let x be the number which is between 1 to 10.

From the question we get to know the equation:

(x-3)(x +2) = 14

x(x+2) -3(x+2) =14

[tex]x^{2}[/tex] +2x -3x - 6 =14

[tex]x^{2}[/tex] - x - 6 =14

[tex]x^{2}[/tex] - x - 20 = 0

This is the equation used to solve for Kevin's number.

Now we have to find the value of x.

[tex]x^{2}[/tex] - 5x + 4x -20=0

x(x-5) + 4(x-5) = 0

(x-5)(x+4) = 0

x = 5, -4

Hence we get two values of x which is 5, -4. But we have to find the number between 1 and 10.

Hence from the value of 5 and -4 , the number is 5 which is between 1 and 10 as -4 is not in the range of 1 to 10.

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The complete question is:

a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?

a) [tex]x^{2}[/tex]- x - 6 =0

b) [tex]x^{2}[/tex] - x - 20 = 0

c) [tex]x^{2}[/tex]- 6x + 14 =0

d) [tex]x^{2}[/tex] - x + 8 = 0

Which statement is true for the function y = log3x

Answers

Answer:

Step-by-step explanation:

how to simplify 4x +5(-3x +6)​

Answers

Answer:

-11x + 30

Step-by-step explanation:

distribute the 5 into the parenthesis

= 4x -15x + 30

combine like terms

= -11x + 30

Answer:

-11x + 30

Step-by-step explanation:

4x + 5(-3x + 6)  Distribute the 5

4x + (5)-3x + (5)6

4x -15x + 30 Combine the x's

-11x + 30

Here is a rule that can be used to build a sequence of numbers once a starting number is chosen: Each number is two times three less than the previous number.

a. Starting with the number 0, build a sequence of 5 numbers.
b. Starting with the number 3, build a sequence of 5 numbers.
c. Can you choose a starting point so that the first 5 numbers in your sequence are all positive? Explain your reasoning.​

Answers

Answer:

a. 0, -6, -18, -21, -90

b. 3, 0, -6, -18, -42

c. A starting point of any number ≥ 6 will result in a sequence of positive values

Step-by-step explanation:

Here the sequence is governed by the rule:
[tex]\sf a_{n} = 2(a_{n-1} - 3)[/tex]
[tex]\textsf {where $a_n$ is the nth term and $a_{n-1}$ is the previous term}}[/tex]

1) Starting with a₁ = 0 we get
a₂ = 2(a₁ - 3) = 2(0 - 3) = -6
a₃ = 2(a₂ - 3) = 2(-6 -3) = 2(-9) = -18
a₄ = 2(a3 - 3) = 2(-18 - 3) = 2(-21) = -42
a₅ = 2(a₄ - 3) = 2(-42- 3) = 2(-45) = -90

So the first 5 numbers in the sequence starting with 0 are:
0, -6, -18, -21, -90

2) I will approach this slightly differently

We have the relationship:
[tex]\sf a_{n} = 2(a_{n-1} - 3)[/tex]

Expanding the brackets we get
[tex]\sf a_{n} = 2a_{n-1} - 6[/tex]

We have a₁ = 3
a₂ = 2(a₁) - 6 = 2(3) - 6 = 6 - 6 = 0
a₃ = 2(a₂) - 6 = 2(0) - 6 = -6
a₄ = 2(a₃) - 6 = 2(-6) - 6 = -18
a₅ = 2(a₄ ) - 6 = 2(-18) - 6 = -42

The sequence starting with 3 is:
3, 0, -6, -18, -42

Both methods work exactly the same, some students find expanding the brackets easier to deal with

c. We can see that as a₁ increases, the number of negative numbers decreases by 2. So, in order for all numbers to be positive (> 0) we should start with a sufficiently large number so that all numbers are positive

The smallest such number is 6.
When a₁ = 6, the sequence is all 6s because
a₂ = 2(6) - 6 = 12 - 6 = 6

So the next number is a₃ = 12(6) - 6 = 6 and so on

So any starting point ≥ 6 will yield positive values. At 5 the sequence would be: 5, 4, 2, -2, -10 so starting point of 5 will not work

Tìm x biết:
a) (50 − x) + 12 = 31 ; b) 75 ∶ (x − 2) + 4 = 7 ;
c) 125 − 3(x + 3) = 65 ;

Answers

a) (50 - x ) +12 =31
- x + 62 = 31
- x = - 31
x = 31

b) 75 . ( x - 2 ) + 4 = 7
75x - 150 + 4 = 7
75x - 146 = 7
75x = 153
75x/75 = 153/75
x = 51/25
x = 2 1/25

c) 125 -3(x + 3 ) = 65
125 -3x - 9 = 65
3x + 116 = 65
3x = - 51
x = - 17

Given the numbers 1,2,3,4,5,6,7,8,9 use the operations +, -,/ and * to get the answer as 100 while leaving the numbers in their respective given order​

Answers

Answer:

answer is ((1 × 2) + 3) × 4 × 5 + 6 - 7 - 8 + 9 = 100

170% of what number is 40.8?​

Answers

Answer: 24

Step-by-step explanation: first we can rewrite the expression as 170%*x=40.8 (x is your answer). By solving and simplifying it, you should get 24.

A line segment has the endpoints K(0, 2) and L(0, 6). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
M =

Answers

A line segment has the endpoints as K and L that are (0,2) and (0,6).The  midpoint M is (0,4).

Given that,

The line segment has the endpoints as K and L that are (0,2) and (0,6).

The Formula for the Midpoint of a Line Segment

Let the line segment's termination point be ([tex]a_{1}[/tex], [tex]b_{1}[/tex]) and ([tex]a_{2}[/tex], [tex]b_{2}[/tex]) respectively. The following is the midpoint formula for a line segment connecting these two points:

(a,b)=[tex](\frac{a_{1} -a_{2} }{2}, \frac{b_{1} -b_{2} }{2} )[/tex]

Where

[tex]a_{1} =0,b_{1} =2 \\and \\a_{2} =0,b_{2} =6[/tex]

[tex](a,b)=(\frac{0+0}{2},\frac{2+6}{2}) \\(a,b)=(0,4)[/tex]

Therefore, When the line segment with the endpoints k and L the midpoint M is (0,4).

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What are the values of b and c?
J
b =
C=
C
O
O
b
H
74°
I

Answers

Please ! write your full questions? Than i can answer. Where is angle? Show angle also.

You're flying from joint base lewis-mcchord (jblm) to an undisclosed location 18 km south and 122 km east. mt. rainier is located approximately 56 km east and 40 km south of jblm. if you are flying at a constant speed of 800 km/hr, how long after you depart jblm will you be the closest to mt. rainier? convert hours into minutes in the final solution.

Answers

After you depart jblm you will be the closest to mt. rainier after 4 minutes 35.5 seconds

The distance from JBLM to Mt. Rainier is found using the Pythagorean theorem:

 d = √((56 km)² +(40 km)²) = 8√74 km

The bearing from JBLM to Mt. Rainier is ...

 arctan(40/56) ≈ 35.538°  . . . . .  south of east

The heading of the airplane to its destination is ...

 arctan(289/218) ≈ 8.393°  . . . . .  south of east

Then the difference between these angles is ...

8.393° - 35.538° ≈ -27.145°

and the distance to the point of closest approach is ...

 8√74×cos(-27.145°) ≈ 61.238 . . . . km

The relation between time, speed, and distance is ...

 time = distance / speed

Then the time from JBLM to the point of closest approach is ...

 time = (61.238 km)/(800 km/h) ≈ 0.07654819 h ≈ 4.5928 minutes

≈ 4 minutes 35.5 seconds

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An equation and some of the steps used to solve the equation are shown below. One step is missing:

2(x-3) + 10x = 5(3 + x)
?
2x-5x + 10x = 15 + 6
7x = 21
x=3

Which set of statements is most likely the missing step and the property that justifies the step?

Answer choices listed in picture(Sorry for quality, taken from my laptop) (Will mark brainliest)

Answers

Answer 5795

Step-by-step explanation:

The function h=−16t^2+1936 gives an object’s height h, in feet, at t seconds. When will the object be 912 feet above the ground?

Answers

you can put y1 = -16t^2+1936 into a graphing calculator and have y2 = 912

next you can click 2nd trace then 5

which means the two will intersect at 8
(y=912 x=8)

meaning the object will be 912 feet above the ground at 8 seconds

Help out please I don’t understand

Answers

Answer:

C. [tex] \frac{ - 15x - 53}{ {x}^{2} + 8x + 15 }≥ 0[/tex]

Step-by-step explanation:

See attached image for explanation

I hope it helps you

which pair of numbers have a greatest common factor of 7? select each correct answer. 7 and 14 7 and 14 28 and 7 28 and 7 7 and 1 7 and 1 21 and 3

Answers

The numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

What is the greatest common factor?

The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. In other words, the greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given the number is 7 the pair of numbers having the greatest common factor is calculated below:-

For pairs 7 and 14. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 14.

Similarly for pairs 7 and 28. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 28.

Therefore, the numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

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Find the value of the variable(s).

Answers

the variable(s) x have a value of 13.

What in mathematics is a variable?

A variable is any property, amount, or number that can be measured or counted. A data item is another name for a variable. Age, sex, business income and expenses, place of birth, capital expenditures, class grades, eye color, and car kind are only a few examples of variables.

A variable is a value that could change based on the details of an experiment or the parameters of a mathematical problem. A variable is typically identified by a single letter. The letters x, y, and z are the universal symbols for variables that are most frequently employed.

According to given value ;

4x+(7x+37)=180

sum of three angle equal to 180

4x+7x+37=180

4x+7x=180-37

11x=143

x=143/11

x=13

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jack's age next year will be twice jill's age last year. their present ages total 45. how old is each no

Answers

We get the age of Jack is 29 years and the age of Jill is 16 years.

We are given that the sum of Jack's age and Jill's age is 45 years.

Let Jack's age be x.

Let Jill's age be y.

x + y = 45

x = 45 - y

Now, we are also given that jack's age next year will be twice Jill's age last year.

Jack's age next year = x + 1

Jill's age last year = y - 1

ATQ, We get the equation as:

x + 1 = 2( y - 1)

x + 1 = 2 y - 2

x = 2 y - 2 - 1

x = 2 y - 3

We get that:

45 - y = 2 y - 3

2 y + y = 45 + 3

3 y = 48

y = 48 / 3

y = 16 years.

x + y = 45

x + 16 = 45

x = 45 - 16

x = 29 years.

Therefore, we get the age of Jack is 29 years and the age of Jill is 16 years.

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Part A
JEWELRY Chloe makes necklaces and bracelets to sell at fundraisers to raise money for new band uniforms. She
has $18 to buy necklace and bracelet chains. Necklace chains cost $0.60 each, and bracelet chains cost $0.40
each. The number of bracelet chains she can purchase given the number of necklace chains that she buys are
shown in the table.
Necklace Chains
Bracelet Chains

What are the x and y intercepts of the function modeling the number of bracelet chains chloe can purchase given the number of necklace chains that she buys?

Answers

Using a linear function, it is found that:

The x-intercept is of 28.125.The y-intercept is of 45.

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

From the table, we have that:

The input is the number of necklace chains.The output is the number of bracelet chains.

Hence, we have that when x = 0, y = 45, meaning that:

The y-intercept is of 45.

When x increases by 5, y decays by 8, hence the slope is given as follows:

m = -8/5 = -1.6.

Then the function is:

y = -1.6x + 45.

The x-intercept is found as follows:

-1.6x + 45 = 0

1.6x = 45

x = 45/1.6

x = 28.125.

The x-intercept is of 28.125.

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Yo i need help asap can yall help me fast?

Answers

By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.

Which pair of fractions is equivalent to each other?

According to the statement, we have the equation of a fraction and we need to find the expression by simplify the former expression. In this situation we must use factor decomposition and algebra properties to make simplification effective:

42 / 49                           Given

(2 × 3 × 7) / (7 × 7)          Factor decomposition

(2 × 3) / 7 × (7 / 7)           Commutative and associative properties / Multiplication of fractions

6 / 7 × 1                           Definition of division / Existence of the multiplicative inverse

6 / 7                                 Modulative property / Result

By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.

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every morning jim runs for 30 minutes. if jim runs 10 miles per hour, how far does he travel?

Answers

Answer:

5 miles

Step-by-step explanation:

distance = rate times time

distance = (10 miles per hour)( 30 minutes)  30 minutes is equal to 1/2 hour

distance = [tex]\frac{10 miles}{hour}[/tex] [tex](\frac{1 hour}{2} )[/tex]  You can cancel words, like like cancelling numbers  The hours cancel out and you are left with [tex]\frac{10 miles}{2}[/tex]  which is equal to 5 miles.

Answer: 5 miles

Step-by-step explanation:

Jim runs 10 miles per hour, and 30 minutes is half an hour, so divide 10 by 2.

Point Q is on line segment PR. Given PQ=x,QR=6, and PR =2x-10, determine the numberical length of PR

Answers

When Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

Given,

That point Q is on line segment PR

The length of PQ = x

The length of QR = 6

The length of PR = 2x-10

We know,

Point Q is on line segment PR

So, the length of the PR = Length of PQ + Length of QR

Substitute the values in the equation

2x-10 = x+6

2x-x=6+10

x=14

Substitute the value of x in the equation of the length of line PR

PR= 2x-10

=2×14-10

=28-10

=18 units

Hence, when Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

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an unreliable study can occur if the . a. survey is very clear b. survey yields consistent results c. test administration is inconsistent

Answers

An unreliable study can occur if the test administration is inconsistent

Consistency is the key to success in anything and it implies to the studies and surveys as well. If you want the results of the study to be reliable, then you must be consistent in test administration.

Inconsistency can lead to various issues like improper representation of the feedback which may alter the results. This can lead to various problems.

For example, test performed at certain time may have a different set of people and absence of periodic tests can accommodate feedback from irrelevant people.

Therefore, a proper set schedule must be followed for the tests with consistency.

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he brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use π

Answers

The bat colony will cover an area of 80,000 square miles in 1.612 hours.

What is defined as the circle?

A circle is the collection of all the points together in plane that are equally distant from the a given point known as the circle's center. A circle is represented by the symbol. A radius of a circle is a line segment that connects the center of a circle toward any point on the circle.

Now, as per the given question;

The area covered (A) by the colony, evaluated in square miles, is depicted by the mentioned geometrical formula as the bat colony emerges from a cave & spreads out in a circular pattern:

A = π R²

R = the bat's distance from the cave, calculated in miles.

Furthermore, each bat moves at a constant speed, and distance is depicted by the following kinematic formula:

R = r₀ + rΔt

r₀ = The bat's initial distance from the cave, estimated in miles.

r = Bat speed, estimated in miles per hour.

Δt = Time, expressed in hours.

Substitute the value of R in the formula of area.

A = π (r₀ + rΔt)²

(r₀ + rΔt)² = A/ π

(r₀ + rΔt) = √(A/ π)

rΔt = √(A/ π) - r₀

Δt = (√(A/ π) - r₀)/r

r =  99 miles per hour

The distance between the bat and the cave has now been substituted, and time has been cleared:

A = area of 80,000 square miles

π = 3.14

r₀ = 0 miles per hour

Substituting all the values in the A we calculate the time.

Δt = (√( 80,000/3.14) - 0)/99

On solving;

Δt = 1.612 (approx)

Thus, It will take 1.612 hours for the bat colony to cover an area of 80,000 square miles.

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The complete question is-

The Brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use pi = 3.14.

Can somebody help wit this I’m failing geometry rn and it makes no sense .

Answers

By definition of vertical angles, the value of the variable x behind the geometric system is equal to 12. The measure of the labeled angle is 48°.

What is the measure of variable within a geometric system generated by two lines intersecting each other?

The image shows a geometric system generated by two non-parallel lines that intersect each other and consequently two pairs of vertical angles are therefore created. In geometry, two vertical angles are opposite to each other and have the same measure. Then, the following mathematical relationship is found:

4 · x = 48

In addition, we must clear the variable x within the equation:

4 · x = 48                                   Given

x = 48 / 4                                   Compatibility with multiplication / Commutative, associative and modulative properties / Existence of multiplication

x = 12                                         Definition of division / Result

The value of the variable x behind the geometric system is equal to 12.

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232x100 what is the answer

Answers

Answer:

23200

Step-by-step explanation:

23,200 is the answer

Yesterday Sarah read 15% of her entire book. Today she read another 17% of the entire book.
In lowest terms, what fraction of the book is left for her to read?

a) 7/25

b) 3/10

c) 17/25

d) 7/10



answer quick please!!!!

Answers

i think the answer is 3/10

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