Modeling with systems of linear inequalities
Modeling with systems of linear inequalities involves using multiple linear inequalities to represent constraints and solve problems with multiple variables. We can graph the inequalities on a coordinate plane and find the feasible region, which represents all the solutions that satisfy the constraints.
Explanation:Modeling with systems of linear inequalitiesModeling with systems of linear inequalities is a mathematical concept that involves using multiple linear inequalities to represent constraints in a real-world situation. This allows us to model and solve problems involving multiple variables and constraints, such as optimizing profit or finding feasible solutions.
Here's an example:
Let's say we have two variables, x and y, representing the number of units of two products.We also have two inequalities, 2x + 3y <= 10 and x + y >= 4.These inequalities represent constraints on the production and sales of the products.To model this situation, we graph the two inequalities on a coordinate plane.The feasible region, the area where the shaded regions of both inequalities overlap, represents the set of solutions that satisfy all the constraints.We can then use this model to analyze and solve various problems, such as finding the maximum profit by maximizing a certain objective function within the feasible region.Learn more about Modeling with systems of linear inequalities here:https://brainly.com/question/34246005
#SPJ11
A metal rod is 2/3 meters long. It will be cut into pieces that are each 1/12 meters long. How many pieces will be made from the rod?
The 2/3 meter long metal rod can be divided into 8 pieces each of length 1/12 meters by dividing the total length of rod with the length of each piece.
Explanation:The subject of this question is mathematics, and it involves division. When we are given a total length and the length of each piece, we can find the number of pieces by dividing the total length by the length of each piece.
Here, the total length of the metal rod is 2/3 meters. Each piece that we want to cut is 1/12 meters long.
To find the number of pieces, we simply perform the division: (2/3)÷(1/12). When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So this becomes (2/3)*(12/1) = 24/3 = 8 pieces.
So the metal rod can be cut into 8 pieces each 1/12 meter long.
Learn more about Division here:https://brainly.com/question/33969335
#SPJ2
Which measure is equivalent to 1.5 kg?
A 15 g
B 150 g
C 1500 g
D 15,000 g
The answer would be 1500g.= 1.5 kg.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, given that,
weight= 1.5 kg.
since there are 1000 grams in a kilogram.
For every,
1 kilogram there's 1000 grams
so, if you were to have 1.5 kilograms you'd have
1,500 grams.
500 is half of 1000 so if you have a 0.5 you'd have 500 grams
which you would then add 500 to 1000 which would result 1500.
Hence, the answer is 1.5 kg= 1500.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ3
20 PTS
line segment jk and jl in the xy-coordinate both have a common endpoint j(-4,11) and midpoints an mv1(2,16) and mv2 (-3,5) respectively.
What is the distance between mv1 and mv2? round to the nearest tenth
what is 2/5 in decimal form?
The distance from earth to the sun is 9.3·107 miles. Express this number as an integer.
please answer asap!!!!
The answer is 93000000
Allow 10 to the power of 7 is 10000000
10000000 times 9.3 = 93000000
plot -2 1/2 and 1 3/4 on a number line
To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.
Explanation:To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".
Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.
Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.
Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.
This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.
Learn more about Number Line here:https://brainly.com/question/32029748
#SPJ2
Find an equivalent mixed number for the decimal number 2.64
A. 2 32/100
B. 2 64/50
C. 2 37/50
D. 2 16/25
Answer:
d) 2 16/25
Step-by-step explanation:
Now we have to,
→ convert into mixed fraction.
Let's solve the problem,
→ 2.64
→ (264/100)
→ 2 64/100
→ 2 16/25
Hence, option (d) is correct.
3. The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.
(a) What fraction of the total sales did each salesperson sell?
(b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest
answer a and b
How much is a $4 sandwich with a sales tax of 6%? (Round your answer to the nearest cent) *
A relation is a function if _____.
there is exactly one input for each output
there is exactly one output for each input
there is more than one input for each output
there is more than one output for each input
Answer:
1 output for 1 input
Step-by-step explanation:
A relation is a function if there is exactly one output for each input.
Hence, Option 3 is true.
We know that;
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A relation is a function.
Hence, We get;
A relation is a function if there is exactly one output for each input.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
A musician's hair was originally 3 inches long.She asked her hair dresser to cut 5/6 of it off.How many inches did she have cut off?
- 4 + 8 -10 + (-2) Which expression shows the commutative property?
Describe how you regroup when you find the sum of 64+43
The required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches.
The sum of two numbers is given in the question as:
64 + 43
As per the given condition, the required solution would be as:
To regroup, just separate the larger numbers into smaller amounts that can be put together more easily. We frequently reorganize numbers into those that terminate in 0 because they are easier to add. For example, 64 may be divided into 60+4 and 43 into 40+3. This makes adding easy since you can first add 60 and 40, which equals 100. The smaller numerals 100+4+3=107 can then be added.
Thus, the required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ5
What is the slope of the line?
y = 5 + 4x
Question 5 options:
a) 5
b) 9
c) 1
d) 4
The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m.
Find an equivalent mixed number for the decimal number 16.3
3
A. 16 -------
100
3
B. 16-------
10
63
C. 1-------
100
163
D. 1-------
100
The sum of 4 consecutive integers is 130
To find the sum of 4 consecutive integers, set up an equation and solve for the unknown numbers. The solution is the four consecutive integers 31, 32, 33, and 34.
Explanation:To find the sum of 4 consecutive integers, we can set up an equation and solve for the unknown numbers. Let's assume the first number is n.
So, the sum can be represented as n + (n+1) + (n+2) + (n+3) = 130.
Combining like terms, we get 4n + 6 = 130. Solving this equation, we find that n = 31. Therefore, the four consecutive integers are 31, 32, 33, and 34.
Learn more about Consecutive Integers here:https://brainly.com/question/1767889
#SPJ12
a man drove to work at an average rate of speed 60 miles per hour and
returned over thesame route driving at an average rate of speed of 40 miles per hour. If his total driving time was 1 hour, what was the total number of miles in
the round trip?
let x = miles
we have x miles/ 60mph plus x miles / 40 mph = 1 hour
x/60 + x/40 = 1
we need to calculate 2x for the round trip
calculate common denominator and rewrite the 2 fractions:
2x/120 + 3x/120 = 1
5x= 120
x = 120/5 = 24 miles
24*2 = 48 miles total
check:
1 way would be 48/2 = 24 miles
24/60 = 0.4 hours to drive 24 miles at 60 mph
24/40 = 0.6 hours to drive 24 miles at 40 mph
0.6 +0.4 = 1 hour
How many $10 bills are the same as ten $ 1 bill?
in a survey 2,000 people who owned a certain type of car, 1,100 said they would buy that type of car again what percent of people surveyed were satisfied with the car
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:
1,100/2,000=0.55*100= 55%
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answer:
The correct option is 4.
Step-by-step explanation:
Given information:
Bring lunch : 46 males, 254 females
Buy lunch : 176 males, 264 females
Total number of peoples is
[tex]46+254+176+264=740[/tex]
Total number of males is
[tex]46+176=222[/tex]
The probability of male is
[tex]P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3[/tex]
Since probability of males is 0.3, therefore options A and C are incorrect.
Total number of persons who buys lunch is
[tex]176+264=440[/tex]
The probability of persons who buys lunch is
[tex]P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}[/tex]
We need to find the probability of P(male | buys lunch).
According to the conditional probability, we get
[tex]P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}[/tex]
P(male | buys lunch)[tex]=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}[/tex]
P(male | buys lunch)[tex]=\frac{\frac{176}{740}}{\frac{22}{37}}[/tex]
P(male | buys lunch)[tex]=\frac{2}{5}=0.4[/tex]
Therefore the correct option is 4.
Answer: it’s D
Step-by-step explanation:
Now lemme get on tik tok dang
z ÷ 4 - 8z + 2(z - 5) when z = 12
Write 17 as a decimal.
----
20
Answer:
0.85
Step-by-step explanation:
17/20=0.85
What is the negative reciprocal of – ¾ ?
Answer: 4/3
Step-by-step explanation: When we use the word "negative reciprocal",
it's just a fancy way of saying flip the fraction and change the sign.
So the negative reciprocal of -3/4 is 4/3.
Find three numbers between -0.55 and -0.54
simplify
10x-12y+8+12y
Which expression is equivalent to 2x - 17? A) -17 + 2x B) -2x + 17 C) -2x - 17 D) 17 + 2x
The expression (2x - 17) is equivalent to (-17 + 2x). So, option A is the correct answer.
To determine which expression is equivalent to (2x - 17), we can use the distributive property to simplify each option.
A) (-17 + 2x):
This expression is equivalent because of the commutative property of addition. So, (A) is correct.
Here's the detailed calculation:
Given expression: [tex]\(2x - 17\)[/tex]
We'll use the distributive property:
[tex]\(2x - 17 = (2x) + (-17)\)[/tex]
Thus, the expression is already in the form of option A, which is [tex]\(-17 + 2x\)[/tex]. So, option A is the correct answer.
In summary, the expression (2x - 17) is equivalent to option A, (-17 + 2x).
mrs watson is 28 years older than her daughter sarah's age x mrs watson is less than 54 year old how old is sara
write an inequality show work
Find the coordinates of the midpoint of GH with endpoints G (-7,3) and H (5,9).
A farmer picked 5 fewer peaches than 3 times the apples. The table shows how the number of peaches, p, depends on the number of apples, a. Choose the equation which represents the rule.
Answer:
no the answer is actually c if on usatestprep, Don't say random answers.
Step-by-step explanation: