Lacey bought tickets to use for rides at the local carnival. Each ride requires the same number of tickets. The expression 60 minus 5 x models the number of tickets Lacey has left after going on x rides. According to the model, Lacey bought Blank space 1 empty tickets and each ride needs Blank space 2 empty tickets.

Answers

Answer 1

Answer:

(a) Initial ticket = 60

(b) 5 tickets

Step-by-step explanation:

Given

[tex]Expression = 60 - 5x[/tex]

Solving (a): Initial Tickets

A linear function is represented as:

[tex]y = c + mx[/tex]

Where c is the initial value

In this case, c represents the initial tickets.

By comparing

[tex]y = c + mx[/tex] to [tex]Expression = 60 - 5x[/tex]

[tex]c= 60[/tex]

Solving (b): Tickets needed on each ride

This represents the rate

In [tex]y = c + mx[/tex], m represents the rate

By comparing

[tex]y = c + mx[/tex] to [tex]Expression = 60 - 5x[/tex]

[tex]m = -5[/tex]

It is negative because 5 tickets is subtracted for each ride.

Hence, the number of ticket per ride is 5


Related Questions

please help me I messed up the first time​

Answers

Answer:

I guess it's 8

Step-by-step explanation:

A pair of jeans is marked up 20% on the original price. The original price was $50. What is the sale price of the pair of jeans before sales tax?

Answers

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

What are the domain and range of f(x) = 2|x – 4| + 3 ?

Answers

☁️ Answer ☁️

I think it's the second one.

Hope it helps.

Have a nice day hyung/noona!~  ̄▽ ̄❤️

Which of the following matches this tape diagram will have BRAINLIEST BADGE

Answers

Answer:

Your answer is -5n=1.75

Use a table to find (h-8)(h-9).

Answers

Well, I don’t see a table but your answer:

h^2-17x+72

Just use FOIL

philip has 11 coins that equal a total of 82 cents. His coins include at least 1 quarter 1 dime 1 nickel and 1 penny. how many of each coin does he have

Answers

Answer:

Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Step-by-step explanation:

Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:

Quarter = 0.25

Dime = 0.10

Nickel = 0.05

Penny = 0.01

0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41

0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).

0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).

0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X

0.25 + 0.30 + 0.25 + 0.02 = X

0.82 = X

Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Carl is choosing a four-character password for his cell phone. The password can contain letters and digits only, and can't include repeating characters. How many passwords are possible?​

Answers

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

Learn more about combinations and permutations here:

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Jay is paid $12.50 per hour. Last week, his paycheck totaled $112.50. How many hours did he work? Write and solve an equation to represent the situation.

Answers

Answer:

9 hours

Step-by-step explanation:

If he earns 12.50 an hour...

112.50 ÷ 12.50 = 9 hours

Answer:

9 hours

Step-by-step explanation:

112.50 ÷ 12.50 = 9 or 9 hours

equation - 2(x-2) + 3 (4x-1)=0​

Answers

Answer:

2(x-2) + 3 (4x-1) = 0​

x = 1/2

11. What is the area of a rectangle whose length (2x+5) cm and width (x-1) cm?
c. 2x2 - 3x + 5 cm?
d. 2x² + 3x - 5 cm?
a 2x2 + 3x + 5 cm?
b. 2x? - 3x - 5 cm?
12. If the area of a square is (2x - 3)- sq. units, then the measure of one side
is:
a. 2x -3 units
C. 3x - 2 units
b. 3x units
d. 2x units
13. The product of two numbers is (4y2 -1). If one of the numbers is (2y + 1).
what is the other number?
a. (2y + 1) b. (2y - 1)
C. (4y + 1)
d. (4y - 1)
14. Which special product is represented by: (5a? - 7b)??
a. Product of Two Binomials
c. Cube of a Binomial
b. Square of a Binomial
d. Product of a Binomial and a Trinomial​

Answers

Answer:

[tex]A=2x^2+3x-5[/tex]

Step-by-step explanation:

Given that,

Length = (2x+5) cm

Width = (x-1) cm

We need to find the area of a rectangle. The formula for the area of rectangle is given by :

A = lb

[tex]A=(2x+5)(x-1)\\\\=2x^2-2x+5x-5\\\\=2x^2+3x-5[/tex]

So, the required area is equal to [tex]2x^2+3x-5[/tex].

Please help me with the question please ASAP ASAP

Answers

156

Especially since the shape is convex


Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

write a polynomial for the volume of a cube with a side length of (x-1) inches.​

Answers

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

Hello, can someone please assist me with this question?

Answers

Answer:

9

Step-by-step explanation:

Hey There!

If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50

So all we have to do is set up an equation

z+50=30+6x-45

step 1 combine like terms

30-45=-15

now we have

z+30=6x-15

step 2 add 15 to each side

-15+15 cancels out

30=15=45

now we have

z+45=6z

step 3 subtract z from each side

z-z cancels out

6z-z=5z

now we have

45=5z

step 4 divide each side by 5

5/5 cancels out

45/5=9

z=5

so we can conclude that z=9

hope this helps :)

SOMEONE PLZ HELP?!!!!

Answers

Answer:

y = -1/2

Step-by-step explanation:

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

3 = -2(y-1)

3 = -2y + 2

1 = -2y

y = -1/2

Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
$24,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $96,000 down payment be?
Their down payment is % of the purchase price.
(Type a whole number.)

Answers

Answer:

For the first question, the answer is 10%. 24000 is 10% of 240000.

For the second question, the answer is 40%. 96000 is 40% o f 24000

Let me know if this helps!

Urgent, pls help me!!!​

Answers

Answer:

Radius: 2

Center: (-3, 1)

How do I solve 1/2z=9 1/4?

Answers

Answer:

z = 9/2

Step-by-step explanation:

1/2z = 9 1/4?

z = 9/2

Explanation:

Simplify

9 x 1/4 → 9/4

Multiply 2 to both sides to cancel out the 2

1z = 9/4

Note: 1z is just z

70x + 25 = 50x +75
How many hours of service do the services cost the same?

Answers

Answer:

2.5 hours

Step-by-step explanation:

70x+25=50x+75

step 1 subtract 25 from each side

25-25 cancels out

75-25=50

Now we have

70x=50x+75

step 2 subtract 50 from each side

70x-50x=20x

50x-50x cancels out

now we have

20x=50

step 3 divide each side by 20

20/20 cancels out

50/20=5/2 or 2.5

so we can conclude that it will take 2.5 hours of service for the services to cost the same

Given the function f(x) = 2 x + 61 - 4, for what values of x is f(x) = 6?

O x= -1, x = 11

Ox=-1, x = -11

O x= 14 = -26

O x= 26, x=-14

Answers

Answer:

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2|x+6| - 4[/tex]

Required

Find x when

[tex]f(x) = 6[/tex]

Substitute 6 for f(x)

[tex]6 = 2|x+6| - 4[/tex]

Add 4 to both sides

[tex]4+6 = 2|x+6| - 4+4[/tex]

[tex]10 = 2|x+6|[/tex]

Divide both sides by 2

[tex]5 = |x + 6|[/tex]

Rewrite as:

[tex]|x + 6| = 5[/tex]

This can be split to:

[tex]x + 6 = 5[/tex] or [tex]-(x + 6)=5[/tex]

Solve for x in both cases

[tex]x = 5 - 6[/tex] or [tex]x + 6 = -5[/tex]

[tex]x = -1[/tex] or [tex]x = -6 - 5[/tex]

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Answer:

i think it’s x= -1, x = -11

Step-by-step explanation:

Over what interval is the function in this graph increasing?

Answers

Answer:

the function is increasing on (-4, 1)

Step-by-step explanation:

First the graph descends (drops), until it reaches x = -4.  Then the graph rises, until x = 1.  Thus, we say "the function is increasing on (-4, 1)."

can someone pls help me?? I’m so bad at math

Answers

Answer:

the first one is y=x-1/2 and the second one is y=-3x+1

Step-by-step explanation:

Find the Selling Price.
Cost to store $90
Markup 100%
Selling Price:

Answers

Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180


4. Jayda found 5 seashells on the beach. Ruby
found twice as many as Jayda. How many
shells did they find together?

Answers

Answer:

They found 15 shells together :)

brainliest pls :D

Step-by-step explanation:

5+(5*2)=15

Answer:

15

Step-by-step explanation:

Jayda has 5

Ruby has twice as much as that which means she has 5(2)

Ruby has ten

Combine

15

:)

Round to the nearest hundredth:7.884

Answers

Answer:

7.88

Step-by-step explanation:

Hope this helps :D

When rounding to the nearest hundredth, the number 7.884 becomes 7.88.

To round 7.884 to the nearest hundredth, we look at the digit in the thousandth place, which is 8.

Now, If the digit to the right is less than 5, you simply drop all the digits to the right and keep the desired decimal place unchanged.

If the digit to the right is 5 or greater, you round up the desired decimal place by increasing it by one. Drop all the digits to the right.

Since 8 is greater than or equal to 5, we round up the digit in the hundredth place.

Therefore, when rounding to the nearest hundredth, the number 7.884 becomes 7.88.

Learn more about Rounding off here:

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The corporate office building is 50m high and angle of elevation at top of building is 52° when seen from a point on level ground. The distance between point and foot of the building is

Answers

Answer:

39.06 m

Step-by-step explanation:

Given that,

Height of the building, h = 50 m

The angle of elevation at top of building is 52° when seen from a point on level ground.

We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular

B is base.

So,

[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]

So, the distance between point and foot of the building is 39.06 m

Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Recall:

SOH CAH TOA are the common trigonometry ratios that can be used to solve a right triangle.

The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.

The distance between the point on the ground and the foot of the building = x (adjacent)Reference angle (∅) = 52°Opposite side = 50 m

Apply the trigonometry ratio, TOA:

tan ∅ = opposite/adjacent

Substitute

tan 52 = 50/x

x = 50/tan 52

x = 39.1 m

Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Learn more about trigonometry ratios on:

https://brainly.com/question/8120556

*WILL GIVE BRAINLIEST*

The sum of the areas of all the faces of a 3D object is called:

A: area
B: surface area
C: volume
D: perimeter

Answers

Answer:

b

Step-by-step explanation:

Answer:

Surface area

Step-by-step explanation:

Area is the space taken up by one surface plane

Volume is the amount of space taken up by the entire object

Perimeter is the length of all the edges of the shape combined

A fund-raiser at the school raises $617.50. They sent $580.45 to local charities. What percent of the money went to charities?

Answers

Answer:

94% of the money went to charities.

Students were asked how they travel to school. The graph shows the results of the survey. Based on the graph, how many students out of 300 students can be expected to walk or bike to school?

Answers

Answer:

we need the graph in order to find the answer.

Step-by-step explanation:

75% of what number is 12

Answers

Answer:

16

Step-by-step explanation:

the crystal clear window washing company washed 1/5 of a high-rise building's window on monday, 1/4 on tuesday, and 3/8 on wednesday.
what percentage of the buildings windows were not washed after three days?

Answers

Answer:

the correct answer is 17.5%

Step-by-step explanation:

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