Which scenario can be represented using the inequalities below?

1.25 < x < 1.5



A container of milk costs at least $1.25 but less than $1.50.
A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.
A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%.
The point value of a test item is more than 1.25 points and less than 1.5 points.

Answers

Answer 1

The scenario that can be represented by the inequalities 1.25 < x < 1.5 is: A. A container of milk costs at least $1.25 but less than $1.50

How to Represent a Scenario Using Inequalities?

The inequality 1.25 < x < 1.5 represents a range of values between 1.25 and 1.5, where x falls within that range.

Option A, which states that a container of milk costs at least $1.25 but less than $1.50, fits this range.

Option B, which states that a student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework, does not fit this range, as it represents a range of time values and not a range of numerical values.

Option C, which states that a tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%, does not fit this range either, as it represents two separate ranges of values.

Option D, which states that the point value of a test item is more than 1.25 points and less than 1.5 points, fits this range as well.

Learn more about inequalities of scenarios on:

https://brainly.com/question/29445672

#SPJ1


Related Questions

there are 23 students in mr wilson's classroom. mr wilson wants to determaine the probabillities of male and female students playingon a school sports team. he surveyed his students and determained

Answers

The probability of boys and girls playing on school sport team is x/23 and y/23 respectively.

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1.

This means that the addition of probability of boys and probability of girls playing in a school tem will be 1. Represent the number of boys by x and the number of girls by y.

Probability = sample space /Total outcome

Since the total number of students is 23

Therefore, the probability of boys in the team = x/23 and,

Probability of girls = y/23

therefore x/23 +y/23 = 1

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Jackson's Ice Cream Shop must have a mean of 110 visitors per day in order to make a profit. The table below shows the number of visitors during 1 week.

Day of the week | No of Visitors

Sunday.................... 63

Monday.................. 77

Tuesday.................. 121

Wednesday............... 96

Thursday .......................137

Friday................................ 154


Based on the table, how many visitors will need to go to Jackson's Ice Cream shop on Saturday in order for the company to make a profit for the week?


A-108

B-110

C-122

D-222


Please add work/ explain!!

Answers

To find out how many visitors Jackson's Ice Cream Shop needs on Saturday to make a profit for the week, we need to first calculate the total number of visitors for the six days already given in the table. Then we can find out the number of visitors needed on Saturday to reach the required mean of 110 visitors per day for the week.

Total number of visitors for the six days = 63 + 77 + 121 + 96 + 137 + 154 = 648

To make a profit for the week, the total number of visitors for the entire week needs to be:

110 visitors/day × 7 days/week = 770 visitors/week

We already have 648 visitors for the six days, so the number of visitors needed on Saturday to make a profit can be found by subtracting the total number of visitors already counted from the total number of visitors needed for the week:

770 - 648 = 122

Therefore, the answer is (C) 122 visitors on Saturday are needed to make a profit for the week.

One factor of this polynomial is (x + 8).
2) + 522 - 11x + 104
Use synthetic division to find the other factor of the polynomial.

Answers

Answer:

We can use synthetic division to divide the polynomial 2x^3 + 522x^2 - 11x + 104 by x + 8, since x + 8 is a factor of the polynomial:

-8 | 2   522   -11   104

  |     -16   -412  2584

  |--------------------

  2   506   -423  2688

The numbers in the bottom row of the synthetic division represent the coefficients of the quotient polynomial, in order of decreasing degree. So the quotient polynomial is:

2x^2 + 506x - 423

Therefore, the other factor of the polynomial is 2x^2 + 506x - 423.

If ST = -10x + 56 and PR = 23x, what is PR?

Answers

Answer:

53 es el pr espero que te ayude

I need help on this question

Answers

Answer:

C

Step-by-step explanation:

0 is base like for example negatives are below and positives are above and zero is the thing right in between so sea level would be 0!

Answer:

Correct answer is 0.

Step-by-step explanation:

Sea level si always the parameter to use when indicating the elevation of any place on earth. If you happen to be located at the same altitude than the sea, then you are at level 0 altitude in any unit of measure.

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
-10 -9 -8 -9 -6 -5 -4 -3
Slope of the Line:
-2
y
9
GO
5
St
3
N
M
24
RZ
-3
In
VS
09
F
2 3
Submit Answer
4
5 6 7 8 9
10
X
attempt 1 out of 2

Answers

Answer:

Step-by-step explanation:

How many kilograms are
1 kg =
100 dag
45.4 kg
119.5 kg
54.5 kg
264.3 kg
there 5,450 dekagrams?

Answers

The number of kilogram that are  there in there 5,450 dekagrams is: C. 54.5 kg.

What is  kilograms?

The kilogram is widely used as a unit of mass in everyday life, as well as in science, engineering, and industry. One kilogram is equal to 1,000 grams, and it is the base unit for other mass-related units such as milligrams, centigrams, and decigrams.

To convert 5,450 dag to kg, we need to divide by 100, since 1 kg = 100 dag:

5,450 dag ÷ 100 = 54.5 kg

Therefore, the answer is (c) 54.5 kg.

Learn more about kilogram here:https://brainly.com/question/9301317

#SPJ1

The correct question is:

How many kilograms are there in there 5,450 dekagrams?

1 kg = 100 dag

a. 45.4 kg

b. 119.5 kg

c. 54.5 kg

d. 264.3 kg

50 Points! Multiple choice algebra question. Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Find the balance after 10 years. Photo attached. Thank you!

Answers

The balance after 10 years is equal to: A. $1491.82.

How to determine the balance after 10 years?

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

[tex]A(t) = P_{0}e^{rt}[/tex]

Where:

A(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.

When time, t = 10 years, the future value can be calculated as follows:

[tex]A(t) = 1000e^{0.04 \times 10}\\\\A(t) = 1000e^{0.4}[/tex]

A(t) = 1000(1.49182469764)

A(t) = 1491.82469764 ≈ $1491.82.

Read more on compound interest here: brainly.com/question/30427848

#SPJ1

A department manager recently launched a new initiative so the members of her department can more easily present innovative ideas they have. To get feedback on the initiative, she emails a link to all department members for an anonymous online survey.

Which statement is true?

Answers

The statement that best describes the potential bias in this scenario is option B: The survey results are most at risk for department members not being able to answer honestly.

The reason for this is that department members may be afraid to share their true thoughts and opinions, especially if they believe their ideas may be seen as too innovative or risky. They may be concerned about how their managers or colleagues will perceive them if they express ideas that go against the status quo or challenge established norms.

This type of bias is known as social desirability bias, which refers to the tendency of respondents to answer questions in a way that is socially acceptable or desirable, rather than in a way that reflects their true beliefs or behaviors.

In this case, department members may feel pressure to conform to the expectations of their superiors or colleagues, even if it means not expressing their true opinions or ideas.

To know more about survey here

https://brainly.com/question/13532910

#SPJ1

Complete Question

A department manager recently launched a new initiative so the members of her department can more easily present innovative ideas they have. To get feedback on the initiative, she emails a link to all department members for an anonymous online survey.

Which statement is true?

A. The survey results are most at risk for nonresponse bias.

B. The survey results are most at risk for department members not being able to answer honestly.

C. The survey results are not at risk of any bias.

D. The survey results are most at risk for under coverage.

help!!!
in the fridge below, m WXZ =72, abs m 1 is 6 degrees more than m 2. find m2

Answers

Step-by-step explanation:

m ∠WXY = 72°

m ∠ 1 = m ∠ 2 + 6°

m ∠WXY = m ∠ 1 + m ∠ 2

72° = (m ∠ 2 + 6°) + m ∠ 2

72° = 2 × (m ∠ 2) + 6°

2 (m ∠ 2) = 72° - 6°

2 (m ∠ 2) = 66°

(m ∠ 2) = 33°

#CMIIW

what is the suface area of 11cm and 14cm

Answers

Answer:

429  i think

Step-by-step explanation:

If you want get 60000 in 8 years how much do you need to deposit in the bank today if the account pays an interest rate of 9%

Answers

Answer:

FV = PV x (1 + r)^n

where:

FV = future value

PV = present value (the amount to be deposited today)

r = interest rate per period (in this case, per year)

n = number of periods (in this case, 8 years)

Plugging in the given values, we get:

$60,000 = PV x (1 + 0.09)^8

Simplifying this equation:

PV = $60,000 / (1 + 0.09)^8

PV = $60,000 / 1.999^8

PV = $60,000 / 3.058

PV = $19,602.68

Therefore, the amount that needs to be deposited in the bank today to accumulate $60,000 in 8 years with an interest rate of 9% is $19,602.68.

I hope this helps.

37. When making biscuits, a baker
mixes flour and sugar in the ratio
4:1. If he uses 6kg of sugar when
making some biscuits, how much
flour should he use?
(a) 30kg
(b) 24kg
C 10kg
D 8kg
E 1.5kg

Answers

The baker should use 24kg amount of flour when making the biscuits. The correct answer is (b) 24kg.

To determine the amount of flour the baker should use when making biscuits, we can use the given ratio of flour to sugar, which is 4:1.

Since the ratio is 4:1, for every 4 parts of flour, there is 1 part of sugar. Therefore, the ratio of flour to sugar can be expressed as 4/1.

If the baker uses 6kg of sugar, we can set up a proportion to find the corresponding amount of flour:

4/1 = x/6

Cross-multiplying, we get:

4 * 6 = 1 * x

24 = x

Therefore, the baker should use 24kg of flour when making the biscuits.

In summary, the correct answer is (b) 24kg.

To learn more about : amount

https://brainly.com/question/25720319

#SPJ11

Show 2 different ways to find the value of x. What do you think is the most efficient method? Explain why.

Answers

We can use trigonometric relations or Pythagorean's theorem, we will see that x = 8ft.

How to find the value of x?

We can see that x is the hypotenuse of the triangle, and we know the length of one leg and the angle between them, then we can use the cosine trigonometric relation:

cos(60°) = 4ft/x

solving for x:

x = 4ft/cos(60°) = 8ft

Other way to find x is first find the other side and then use the pyhtagorean theorem, to get the other side y we need:

tan(60°) = y/4ft

y = 4ft*tan(60°)

Then using Pythagorean's theorem we get:

x = √( (4ft)² + (4ft*tan(60°))²)

Learn more about right triangles at

https://brainly.com/question/2217700

#SPJ1

Make a rap about why triangular pyramids are the best shape. No cursing. It must be appropriate and at least 1 minute long.

Answers

The rap about why triangular pyramids are the best shape is given below.

Why Triangular Pyramids are the best shape lyrics

Verse 1:

Listen up, y'all, I'm here to spit some truth

About a shape that's often overlooked, but it's the truth

It's the triangular pyramid, and let me tell you why

It's the best shape out there, and that's no lie

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Verse 2:

When it comes to architecture, they're the top choice

Their shape is so versatile, you can't deny its voice

From ancient pyramids to modern buildings tall

The triangular pyramid can withstand it all

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Verse 3:

And let's not forget their mathematical prowess

Their angles add up to 180, no need to guess

With their faces all congruent, they're a sight to see

The triangular pyramid, it's the shape for me

Chorus:

Triangular pyramids, they're the way to go

Strong and sturdy, they're the best, you know

With their pointed tips and angled sides

They're the perfect shape, no need to hide

Outro:

So there you have it, folks, the triangular pyramid

It's the best shape out there, there's no need to forbid

From its strength to its geometry

The triangular pyramid, it's the shape for me!

Learn more about triangular pyramids at:

https://brainly.com/question/30995467?

#SPJ1

1. Rachel has $60 to spend
on lunches this week. On
Monday she spent $5, and
on Tuesday she spent $7.
Which inequality can be
used to find, x, the amount
of money she can spend
the rest of the week?

Answers

X is less than or equal to 48

the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false

Answers

Since the line splits the square into two regions with equal area, it goes through center of square.

Equation of line through point (12,12)

with slope 5

y−12=5(x−12)

y=5x−2

y-intercept=(0,−2)

Since line passes through points (0.4,0)

and (0.6,1)

it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2

trapezoids with height =1

and bases =0.4

and 0.6

. Therefore, they have the same area.

Which of the following numbers is shown plotted on the number line?
0
0 2.75 0 2 0-3 0-2 0-15

Answers

Answer:

-3 3/8

Step-by-step explanation:

The only number we're given on the number line is 0, but we can assume that each tick on the number line represents 1 units.  We see that between the ticks that are 4 and 3 spaces away from 0.Since the point is to the left of 0, we know the number must be negative.The only answer that would make sense is -3 3/8, since the tick 4 places away from 0 is -4 and the tick 3 units away from 0 is -3 and -3 3/8 lies between -3 and -4

what principal will have majority value of $10,000 at 8.25% p.a in three months?

Answers

__________________________________

Simple Interest: A = P × i ÷ 100 × n = 10,000 × 8.25 ÷ 100 × 3= 247.5= 10,000 + 247.5= $10,247.5 Compound Interest: A = P (1 + i ÷ 100) n = 10,000 (1 + 8.25 ÷ 100) ³= $12,684.80The Compound Interest Principal Will Have Majority Value In 3 Months

__________________________________

Please help me with this

Answers

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

How to explain the function

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

Please help Thanks
there is a FRACTION symbol two variable symbols y and x


I need to write an equation

Answers

The required equation of line is y = 2x

What is equation of line?

A straight line's equation is y=mx+c, where m denotes the gradient and c denotes the height at which the line crosses the y-intercept, also known as the y-axis.

According to question:

Given points:

(1,2) and (2,4)

then

[tex]Slope of line = \frac{4-2}{2-1}= 2[/tex]

then

y-2 = 2(x-1)

y = 2x - 2 + 2

y = 2x

Thus, required equation of line is y = 2x

To know more about slope, visit:

brainly.com/question/3605446

#SPJ1

I have 2 questions
1. my final for one of my classes is 150 points and I need to score at least a 53.16% on the final exam, how many points of the overall 150 would I need to get correct.
2. for my other final it is worth 200 points and I need to score at least a 44.45% on the final exam, how many points of the overall 200 would I need to get correct.

Answers

1. You need to get around 80 points
2. You need to get around 89 points

90w/m sq when the distance is 5m

Answers

The total power being emitted by the source, given the radiant flux density, is  28,274.3 watts of power.

How to find the total power emitted ?

The inverse square law can be used with the formula :

I = P / ( 4 π r ²)

We are given the radiant flux density I = 90 W/m² and the distance r = 5 m.

The power being emitted is therefore :

P = 90 W/ m ² x (4 π ( 5 m) ² )

P = 90 W / m ² x ( 4 π x 25 m ² )

P = 90 W / m² x 100 π m²

P = 28, 274.3 watts

Find out more on total power emitted at https://brainly.com/question/31488573

#SPJ1

Full question is:

How much power is a source emitting with an amount of radiant flux density of 90w/m sq when the distance is 5 m

Please help me i really dont get this. ill give 20 points please help me. ILL GIVE BRAINLIEST

Answers

Answer:  A and yes

Step-by-step explanation:

1.  A is the answer. You must balance an equation.  Whatever you do to one side you have to do to the other side. There are no like terms to combine on one side so C, D are out.

2.  Yes, because the equations are balance and will get same answers

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

The sum of both sides is 2x² + 4. The length of the third side is 5x³ - 4x² + 3x - 12

What is a triangle?

A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, right angled, scalene, equilateral.

Given that the perimeter of the triangle is 5x³ - 2x² + 3x - 8. The length of side one is 3x² - 4x - 1 and that of side two is -x² + 4x + 5

The sum of side one and side two is:

Sum = side 1 + side 2 = (3x² - 4x - 1) + (-x² + 4x + 5) = 2x² + 4

The sum of both sides is 2x² + 4

The third side is:

Third side = Perimeter - Sum of two sides = (5x³ - 2x² + 3x - 8) - (2x² + 4) = 5x³ - 4x² + 3x - 12

The length of the third side is 5x³ - 4x² + 3x - 12

Find out more on triangle at: https://brainly.com/question/28470545

#SPJ1

scheduled payment of $1010 due five months ago and $1280 due today are to be repaid by a payment of $615 in four month and the balance in seven months. If money is worth 7.75% p.a , and the focal date is in seven months, what is the amount of the final payment?

Answers

The amount of the final payment is $1,004.99.

To solve the given problem, we will use the concept of present value. We need to find the present value of the two payments due in the past, and then find the future value of the remaining payments due in the future.

Let's first find the present value of the two past payments:

PV1 = $1010 / (1 + 0.0775/12)⁵ = $868.15

PV2 = $1280 / (1 + 0.0775/12)⁰ = $1280

Next, we can find the future value of the remaining payments due in the future

FV1 = $615 x (1 + 0.0775/12)⁴ = $664.69

FV2 = X

Now we can set up an equation to solve for X, the final payment:

PV1 + PV2 = FV1 + FV2 / (1 + 0.0775/12)⁷

Substituting the values we have calculated:

$868.15 + $1280 = $664.69 + X / (1 + 0.0775/12)⁷

Simplifying and solving for X

X = ($868.15 + $1280 - $664.69) x (1 + 0.0775/12)⁷ = $1,004.99

Therefore, the amount of the final payment is $1,004.99.

Learn more about present value here

https://brainly.com/question/17322936

#SPJ1

PLEASE HURRY

Let

u = 4i - j v = 3i + j w = i + 3j

Find the specified scalar.

u(v + w)

Answers

The specified scalar is 12 as the result of u(v + w) is 12i + 12j.

The provided vectors are given to be u = 4i - j v = 3i + j w = i + 3j. First, we need to find the vector v + w,

v + w = (3i + j) + (i + 3j)

v + w = 4i + 4j

Now, we can find dot product, u(v + w),

u(v + w) = u(4i + 4j)

u(v + w) = 4ui + 4uj

Substituting the given values of u, we get,

u(v + w) = 4(4i - j)i + 4(4i - j)j

u(v + w) = 16i - 4j + 16j - 4i

Simplifying, we get,

u(v + w) = 12i + 12j

Therefore, the specified scalar is 12.

To know more about vectors, visit,

https://brainly.com/question/28028700

#SPJ1

A study found that 9% of dog owners brush the dogs teeth of 578 tall governors about how many would be expected to brush their dogs teeth?

Answers

Answer:

$\boxed{52}$ dog owners would be expected to brush their dog's teeth.

Step-by-step explanation:

Eight birds live in each bird house in Mrs.Tillman's yard. Complete the table to show how the number of birds,b, depends on the houses,h.

Answers

The number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds

How to solve

To find the number of birds (b) in a given number of bird houses (h), we can use the formula: b = 8h

Now, we can complete the table:

Number of bird houses (h) Number of birds (b)

1 8

2 16

3 24

4 32

5 40

So, the number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds.

Read more about tables here:

https://brainly.com/question/12151322

#SPJ1

Mrs. Tillman has bird houses in her yard, with eight birds living in each bird house. Complete the table to show how the number of birds (b) depends on the number of bird houses (h):

Number of bird houses (h) Number of birds (b)

1

2

3

4

5

Find the length of the third side. if necessary, round to the nearest tenth of 1 and 3

Answers

Using the Pythagorean theorem we know that the third side is 15 units.

What is the Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs.

To determine c, use the Pythagorean Theorem as follows:

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

225 = c

c² = 225

c = √(225)

c = 15

Therefore, using the Pythagorean theorem we know that the third side is 15 units.

Know more about the Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ1

Correct question:

Find the length of the third side. If necessary, round to the nearest tenth.

12 and 9

Other Questions
How did the invention of machine guns influence European states in the 19thcentury?OA. It led them to devote nearly all their resources to producingweapons.OB. It convinced them to avoid war, as military conflict becamedeadlier than ever.OC. It allowed them to more easily conquer and control colonies inAfrica and Asia.OD. It helped nationalist groups win their independence from largeempires. Explain how the day is celebrated in schools,families,work places and other institutions like churches etc.heritage day I'm fairly new to this concept and I'm a bit confused on these 3 questions. Please help :) Nathan ordered 1 cheeseburger amd 1 bag of chips for 3. 75 jack ordered 2 cheeseburgers and 3 bags of chips for 8. 25 What is the molarity of the solution made by dissolving 15.1 g of solid naf in water and diluting it to a finalvolume of 550.0 ml? how can you determine the number of valence electrons in a atom of a representative element? What are your chances of winning a raffle in which 325 tickets have been sold, if you haveone ticket? Examine the digestive system structures in the figure above. The highest rate of nutrient absorption occurs at location _____. 4 5 1 8. please help, I don't understand how to solve these Geometry questions. Which phrase from the text most clearly explains how the author thinks Professor Hodous' book should be used? (5 points) For further study To make a strong appeal A truer idea of the full meaning Introductions to its study Essay prompt:You just read about how Ben Sasse feels teenagers should spend their summer vacations. As a teenager, what is your reaction to Sasses recommendations? How do you feel about his suggestions and assumptions? Do you mostly agree, mostly disagree, or agree with some parts but disagree with others? In a brief argument, defend, challenge, or qualify Sasses overall claim that summer employment is the best way to build self-reliance among teenagers. Support your position with evidence from personal experience and observations, and feel free to include knowledge from other sources Pure Grapes reviews inventory every week. Lead time L is seven days and demand rate is 100 units per day. You know the companys standard deviation is 10 units per day and allows one stock-out per year. Develop the ordering policy for a fixed-time period inventory system assuming 52 weeks per year and 95% service level. Ocarolyn and Abbywent camping andcaught a total of a fish.How many fishweighed 8 1/4 poundsor less?XXXXX Xx+XX-X8 888 9Weight of Fish in Pounds1 This table shows the time it takes students in Homeroom 203 to get to school each morning: 1 Time Less than 10 min 10-19 min 20-29 min 30-39 min 40-49 min 50 min or more Find the experimental probability of a student in this homeroom taking a certain number of minutes to get to school. Make a probability distribution for this data. Number of Students 3, 5, 10, 7, 2, 3 which is a form of potential energy I dont like fancy going out tonight. The underlined part of thesentence is a / an:A. Infinitive B. GerundC. Conjunction D. Preposition Its due tomorrow and I dont know how to do it. Is COKWE a dying language? Explain the kind of love hester has with her lover. What prevents them from acting upon this love? what role does pearl play in this? Find the seventh, twenty fifth and seventy ninth percentile from the following data: 15, 19, 26, 25, 11, 21, 22, 34, 41, 43, 45, 55, 58, 60, 50, 22, 19, 34, 62, 48, 49, 13