A crayon factory monitored the number of broken crayons per box during the past day.
Broken crayons per box
Stem Leaf
0 0 4 4 9
1 4 6 8 9 9
2 3 8
3 3
4 0 9
5 1 9
6 1
7 1 3
8 2 4 6 8
9 4 9
How many boxes had at least 20 broken crayons but fewer than 60 broken crayons?
Answers
the total number of boxes with at least 20 but fewer than 60 broken crayons is 33.To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20
what is at least ?
"At least" is a phrase that is used to indicate a minimum quantity or degree of something. It means that the stated quantity or degree is the smallest amount that is acceptable or possible. For example, if someone says "I need at least 10 dollars,"
In the given question,
To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20 but fewer than 60 broken crayons.
From the stem-and-leaf plot, we can see that the stems 2, 3, 4, and 5 have leaves that add up to at least 20 but fewer than 60:
Stem 2 has leaves 3 and 8, which add up to 11.
Stem 3 has leaf 3, which adds up to 3.
Stem 4 has leaves 0 and 9, which add up to 9.
Stem 5 has leaves 1 and 9, which add up to 10.
Therefore, the total number of boxes with at least 20 but fewer than 60 broken crayons is 11 + 3 + 9 + 10 = 33.
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Related Questions
evaluate this function f(x)= 1/3 • 6x at x=2
Answers
Answer:Im pretty sure the slope is 2.
Step-by-step explanation:
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
Graph y = x + 4 on the graph
Answers
Answer:
lifet
Step-by-step explanation:
A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 16 ft, its width is 7 ft, and its surface area is 500 ft2. (In the figure, h=height. Assume that the given surface area includes that of the top lid of the box.)
Answers
Answer:
Step-by-step explanation:
The surface area of a rectangular box can be calculated as follows:
Surface area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height.
We are given the surface area (500 ft2) and the length and width (16 ft and 7 ft respectively), so we can use these values to solve for the height:
500 = 2 * 16 * 7 + 2 * 16 * h + 2 * 7 * h
500 = 224 + 32h + 14h
500 = 238h + 224
276 = 238h
h = 276 / 238
h = 1.16 ft
So the height of the box is approximately 1.16 feet.
the sum of 36 and 3c
Answers
Answer:
Step-by-step explanation:
just add 36 and 3
I need helppppppp plssss
Answers
9x +4 = 3x+16
6x=12 X=2........
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
Answers
The given line is in the form Ax + By = C, where A = 3, B = 2, and C = -1. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m is the slope:
3x + 2y = -1
2y = -3x - 1
y = (-3/2)x - 1/2
The slope of the given line is -3/2. Since a line perpendicular to this line will have a negative reciprocal slope, we can find the perpendicular slope by taking the negative reciprocal of -3/2:
Perpendicular slope = -1 / (-3/2) = 2/3
Now we have the slope of the perpendicular line, and we can use the point-slope form of a line (y - y₁ = m(x - x₁)) to find its equation. Plugging in the values (5, 3) for (x₁, y₁) and 2/3 for m:
y - 3 = (2/3)(x - 5)
Expanding and simplifying:
3y - 9 = 2x - 10
2x - 3y = 1
Therefore, the equation of the line that is perpendicular to 3x + 2y = -1 and passes through the point (5, 3) is 2x - 3y = 1.
To find the equation of a line parallel to the given line and passing through the point (5, 3), we can use the same method. Since parallel lines have the same slope, the slope of the parallel line will also be -3/2.
Using the point-slope form with (5, 3) and -3/2:
y - 3 = (-3/2)(x - 5)
Expanding and simplifying:
2y - 6 = -3x + 15
3x + 2y = 21
Therefore, the equation of the line that is parallel to 3x + 2y = -1 and passes through the point (5, 3) is 3x + 2y = 21.
What is the Square root of 5?
Answers
Answer:
2.2360679775
Step-by-step explanation:
Step-by-step explanation:
5^2
5×5
25
that is your answer
sketch the region enclosed by the given curves (within the given bounds, if provided) and find its area.
Answers
The area enclosed by the curves f(x) and g(x) is 1/12
Integral calculus can be used to compute the area between two curves, which is the region between two intersecting curves.
When we are aware of the equation for two curves and the locations of their intersections, integration can be utilized to determine the area under the curves.
Let our given curves be :
f(x) = x² and g(x) = x³ within the interval [0,1]
Formula to calculate area under these curves is
=> A = \(\int\limits^{c}_{a} {|f(x) - g(x)| \, dx\)
Interval is given from 0 to 1
Therefore ,
=> A = \(\int\limits^{1}_{0} {[x^2 - x^3]} \, dx\)
Integrating,
=> \([\frac{x^3}{3} - \frac{x^4}{4}]^{1}_{0}\)
=> 1/3 - 1/4
=> 1/12 is required area
The given question is incomplete So, I've answered the question in general
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Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.
Answers
Answer:
19min
Step-by-step explanation:
The table below shows the points on a function.
A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 2, negative 2, 4, negative 1, 3. Column 2 is labeled f (x) with entries 1, negative 3, 13, 1, 6, negative 2.
Identify points on f –1(x).
Check all that apply.
(–3, 2)
(6, –1)
(–1, –4)
(3, 2)
(1, 0)
(–4, –1)
Answers
Answer:
the answer is c,Yes, because the ratios for each input and output are equivalent.
Step-by-step explanation:
The coordinate which satisfies the inverse of function f(x) is that f⁻(x) are (–3, 2),(6, –1), and (1, 0) so options (A),(B), and (E) will be correct.
What is the inverse of a function?The inverse of a function is basically a reverse function or undo of the function.
For example y = f(x) then inverse will be x = f(y).
It means in the inverse function we need to interchange x and y.
Given points have been labeled in 2 a 2-column table with 6 rows.
The coordinate of any function is given as (x,y) or ( x,f(x) ).
First coordinate of functin f(x) is (0,1) second(2,-3) and so on.
If we do the inverse of the function f(x) is that f⁻(x) then coordinate will interchange is that x will interchange with f(x) then first coordinate (1,0) second (-3,2) and so on.
So if we look at all coordinates which is available among the options are (–3, 2),(6, –1), and (1, 0).
Hence "The coordinate which satisfies the inverse of function f(x) is that f⁻(x) are (–3, 2),(6, –1), and (1, 0)".
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Use the equation 5/2x to complete the table
Answers
Answer:
Here is a completed table using the equation 5/2x:
Step-by-step explanation:
Indicate whether each expression in the table is equivalent to 1/2x-1, equivalent to x-1/2
Answers
1. The expression 2/3 (3/4 x - 3/2) is equivalent to x - 1/2. not equivalent to 1/2x - 1 and the third option. 2. The expression (2x + 1) - (x + 3/2) is equivalent to x - 1/2, not equivalent to 1/2x - 1 and the third option.
What is equation and expression?An expression is a mathematical sentence that may or may not have an equal sign, whereas an equation is a declaration that two expressions are equal. The equal sign in an equation indicates whether the result is true or false, depending on the values of the variables. On the other hand, while expressions can be assessed or sped up, they cannot be true or untrue. Expressions are used to represent quantities or operations, whereas equations are used to find the values of variables that the equation requires.
For the given expressions simplifying we get:
1. 2/3 (3/4 x - 3/2)
= 1/2 x - 1
This expression is equivalent to x - 1/2.
2. (2x + 1) - (x + 3/2)
= x - 1/2
This expression is equivalent to x - 1/2.
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Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.
Answers
Answer:
76.5 hours
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
Part 1 of 2:
(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:
P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]
Simplifying the equation:
P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)
Part 2 of 2:
(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.
Using the simplified equation from part (a), we substitute x = 30 and solve for y:
800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]
800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))
Now, we can solve for y:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)
Simplify the equation:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y
Combine like terms:
800 = 300 - 60 + 9.25y - 1.85y - 0.1295y
800 = 240 + 7.32y
Subtract 240 from both sides:
560 = 7.32y
Divide both sides by 7.32:
y ≈ 76.5
Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answers
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
diamond earns $7.50 per hour at her job, but if she works more than 35 hours in a week she is paid $11.25 per hour for the overtime hours worked. One week her gross pay was $352.50. how many overtime hours did she work that week?
Answers
From the given situation of equation Diamond worked 24 overtime hours that week.
What distinguishes regular salary from overtime compensation?The hourly rate that is paid for the typical hours worked within a pay period is known as regular pay. For full-time employees in the US, this is typically referred to as 40 hours a week. On the other hand, overtime pay is the hourly rate paid for any additional hours worked. Most businesses give time-and-a-half (1.5 times the usual pay rate) or double-time (two times the regular pay rate) for extra hours, which is often more than regular compensation.
Let us suppose the number of hours = x.
Let us suppose the overtime hours = y.
From the given situation we have:
7.5x + 11.25y = 352.5 (equation 1)
x + y = 35 (equation 2)
Substituting equation 2 into equation 1 and simplifying:
7.5x + 11.25(35 - x) = 352.5
7.5x + 393.75 - 11.25x = 352.5
-3.75x = -41.25
x = 11
Substitute the value of x = 11.
11 + y = 35
y = 24
Hence, Diamond worked 24 overtime hours that week.
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Solve for value of e (3e-7) 101
Answers
Answer:
E = 36
Step-by-step explanation:
1. Add 7 to both sides of the equation
3e - 7 = 101
+7 +7
------------------
3e = 108
2. Isolate the variable e by dividing by 3 on both sides
\(\frac{3e}{3} = \frac{108}{3}\)
3. Simipfy the equation
\(e = 36\)
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answers
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25
Answers
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
What is an equation?One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.
The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
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can someone plz help?
solve for x in the triangle below given that AB =4cm ,BC=3cm and AC =x
Answers
4^2+3^2=x^2
16+9=x^2
x=5
AC=5
Answer:
5
Step-by-step explanation:
a²+b²=c²
4²+3²=c²
25=c²
c=√25
c=5
Use a calculator to find the trigonometric ratio. Round your answer to four decimal places
sin 98°~
Answers
Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.
How to Find the Trigonometric Ratio?One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.
Using a calculator, we can find the sine of 98 degrees as follows:
sin 98° ≈ 0.9848
Rounding this to four decimal places, we get:
sin 98° ≈ 0.9848
Therefore, sin 98° is approximately equal to 0.9848.
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In 2000, Greenville had a population of 63,205 people. Greenville’s population increased by 2500 people each year. In 2000, Springfield had a population of 50,000 people. Springfields population increased by 9% each year. Write a function to represent each towns population, and determine in what year the populations were equal
Answers
Answer:
year 6.6025 if there is no typo in your question and numbers are right.
Step-by-step explanation:
G = 63205 + 2500x
S = 50000 + 4500x
since 9% of 50000 = 0.09(50000) = 4500
find when G = S
63205 + 2500x = 50000 + 4500x
subtract both sides by 2500x to move x terms to the right
63205 = 50000 + 2000x
subtract both sides by 50000 to move the number to the left, so we can get like terms on each side
13205 = 2000x
divide both sides by 2000
x = 6.6025
Divide. 1 4/9 ÷ 2/3 pls help
Answers
1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6
ok done. Thank to me :>
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Answers
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?
Answers
There are 50 predicted rolls for 5 in 300 times of rolls.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Janet rolls a 6-sided number cube 300 times,
Probability = (Favourable Outcomes)/(Possible Outcomes)
Favourable Outcomes: 5 (1 total)
Possible Outcomes: 1,2,3,4,5,6 (6 total)
Probability of a 5 in any given roll of a die = 1/6
1/6x300 = 50 = 50 predicted roll with 5.
Hence, There are 50 predicted rolls for 5 in 300 times of rolls.
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At a customer service call center for a large company, the number of calls
received per hour is normally distributed with a mean of 190 calls and a
standard deviation of 20 calls. What is the probability that during a given
hour of the day there will be less than 163 calls, to the nearest thousandth?
Answers
The probability that during a given hour of the day there will be between 146 calls and 163 calls exists approximately 78.35 %.
What is meant by probability ?Calculating the likelihood of experiments happening is a function of probability, a part of mathematics. By using a probability, for instance, we may determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a mistake when conducting research.
We've been told that at a large company's customer service call centre, the volume of calls received every hour has a mean of 150 calls and a standard variation of 5 calls. The likelihood that between 146 and 163 calls will be placed during a specific hour of the day is what we are asked to calculate.
First, we will calculate the z-scores for 146 and 163 using the z-score formula.
\($$\begin{aligned}& z=\frac{x-\mu}{\sigma} \\& z=\frac{146-150}{5} \\& z=\frac{-4}{5} \\& z=-0.8 \\& z=\frac{163-150}{5} \\& z=\frac{13}{5} \\& z=2.6\end{aligned}$$\)
Our next step is to find percentage of data scores falls between both z scores.
P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)
Using normal distribution table, we will get:
\($$\begin{aligned}& P(-0.8 < z < 2.6)=0.99534-0.21186 \\& P(-0.8 < z < 2.6)=0.78348\end{aligned}$$\)
Let us convert our answer into percentage.
\($0.78348 \times 100 \%=78.348 \%$$\)
Upon rounding our answer to nearest thousandths, we will get:
\($$78.348 \% \approx 78.35 \%$$\)
Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls exists approximately 78.35 %.
The complete question is;
At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be between 146 calls and 163 calls, to the nearest thousandth
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I also need help on this, it would mean millions to me as this is for a grade. :)
Answers
Answer:
The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)
what is the value of X?
what is the value of Y?
I will also give branliest
Answers
Answer:
what is the value of X? 23
Answer:
Step-by-step explanation:
The ratio of sides for the 30/60/90 triangle is 1:3^(1/2):2
Since the side opposite the 60 degree angle is 7(3^(1/2))
x=7(1)=7
y=7(2)=14
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
Answers
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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