The values of the objective function obtained for the given set of equation is 7.
Define the term LPP?The goal of the Linear Programming Problems (LPP) is to determine the best value for a given linear function. The ideal value may be either the highest or lowest value. The specified linear function is regarded as an objective function in this situation.For the stated question-
Objective function z = x1+2x2
Constraints
2x1 + x2<8 ....eq 1x1 + x2 <5 ....eq 2x1, x2>0 .....eq 3Subtract equation 2 from 1.
x1 = 8 - 5
x1 = 3
Put value if x1 in eq 2
x1 + x2 = 5
x2 = 5 - 3
x2 = 2
Put the values of x1 and x2 in Objective function
z = x1 + 2x2
z = 3 + 2x2
z = 7
Thus, the values of the objective function obtained for the given set of equation is 7.
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Mia is traveling from her house to her sister’s home. She took the bus to the car rental lot and is now driving the rest of the way at a constant rate of speed. What does the -intercept represent in this problem?
the distance (mi) that Mia traveled on the bus to the car rental before she started driving the car
the distance (mi) that Mia traveled from the car rental lot to her sister's home
the amount of time (hr) elapsed for every mile the car travels from the car rental lot
the distance (mi) the car travels from the car rental lot for every 1 hour elapsed
Answer:
The distance (mi) the car travels from the car rental lot for every 1 hour elapsed.
Step-by-step explanation:
PLEASE ASAP I NEED HELP
Given the inequality 4x ≤ 28, which of the following is a solution that makes the inequality true?
The value of the inequality equation is x ≤ 7
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
4x ≤ 28 be equation (1)
Now , on simplifying the equation , we get
Divide by 4 on both sides of the inequality equation , we get
x ≤ 7
Therefore , the value of x is less than or equal to 7
All the numbers less than or equal to 7 satisfies the condition for x
The value of the equation x ≤ 7 is shown in the graph below
Hence , The value of the inequality equation is x ≤ 7
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need help with this one keep getting wrong answer
Answer:
try socratic
Step-by-step explanation:
Use two different methods to find and explain a formula for the area of a trapezoid
that has parallel sides of length a and b and height h. Consider these ideas or others: (a)
Combine two copies of the trapezoid to make a parallelogram. (b) Subdivide the trapezoid
into two triangles, one with base b and one with base a.
The two possible ways to find the area are -
A = (1/2) × {a + b} × {h}A = {b x h} - (1/2) x {(b - a} x h}What is trapezoid?
A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
Area : ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sidesPerimeter : sum of lengths of sides of trapezoidNumber of vertices : 4Number of edges : 4Properties : Convex polygonType : QuadrilateralSum of interior angles : 360°We have a trapezoid.
Now, we can find the area in two ways -
[1] -
A = (1/2) × {a + b} × {h}
[2] -
A = {b x h} - (1/2) x {(b - a} x h}
Therefore, the two possible ways to find the area are -
A = (1/2) × {a + b} × {h}A = {b x h} - (1/2) x {(b - a} x h}To solve more questions on trapezoids, visit the link below -
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Add a term to the expression so that it becomes a perfect square trinomial.
x2-22x +
Answer:
Step-by-step explanation:
is times 43
A cafeteria sold 36 cartons of regular flavored milk. If the ratio of regular milk sold to chocolate milk sold was 9:4, what is the combined amount of chocolate and regular milk sold?
Answer:
The combined amount of chocolate and regular milk sold was 52 cartons.
Step-by-step explanation:
1. Divide
36 ÷ 9 = 4
(This means that the ratio has a unit rate of 4. That means):
2. Second ratio rate
4 x 4 = 16
(Because the unit rate is 4).
3. Add
(Now, we add the original 36 cartons with the 16 cartons we found because the first step was just for finding the unit rate).
36 + 16 = 52 cartons.
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which property in math is (n+2.9)+0.3=n+(2.9+0.3)
Notice that the order the numbers are written on both sides is the same:
n, then 2.9, then 0.3
Because the order is the same and all that changed were the parentheses (the way the numbers were grouped), this is the associative property of addition.
The associative property is about the groupings. You can remember this by thinking about that fact that associations are groups.
What is the range of the function?
f(x)=3x−1−2
Enter your answer, in interval notation, in the box.
range:
The range of a function f(x)=3ˣ⁻¹-2 is (-2, ∞)
What is meant by a function?A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.
The first known attempt to define function can be found in the writings of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability. The range of possibilities for variation or the distances between them: pricing for various grades of steel; a variety of designs. a thing's operation or action's reach or extent: accessible to the eye. a projectile's range is how far a weapon can or will shoot it.
Given,
f(x)=3ˣ⁻¹-2
Range=(-2, ∞)
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6. Alex says he can find the product for
(3 X 5) X 2 by solving 3 X (5 × 2).
Is Alex correct?
Answer: Yeah
Step-by-step explanation: Multiplication can be done in any order, so using parenthesis to denote which numbers to multiply first should not matter.
Algebra
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The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let's check all the options, then
A) y ≤ (1/4)x - 1
At (-5, -7), we have
-7 ≤ (1/4)(-5) - 1
-7 ≤ -2.25
This is incorrect.
B) x + y ≤ 3
At (-5, -7), we have
-5 + (-7) ≤ 3
-12 ≤ 3
This is correct.
The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.
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The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?
Group of answer choices
45
15
60
32
Answer:
15:25 or 15 brownies
Step-by-step explanation:
25 / 5 = 5 (scale factor)
3 * 5 = 15
-7(1+9a) have no idea how to do this
Answer:
-7-63a
Step-by-step explanation:
-7(1 + 9a)
(use the distributive property of multiplication to simplify)
-7-63a
What is the value of Negative 3 squared + (negative 4 + 7) (2)?
–28
–3
3
15
I am on a unit test hurry please
-3^2+(-4+7)(2)
answer = 15
Answer:
15
Step-by-step explanation:
a negative number squared is positive, so its 9 + (-4 + 7)*2. 7-4 is 3, which we then multiply by 2 to get 6. Now add that to 9 to get 15.
Hope this helps!
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
the product of two numbers divided by 5
Step-by-step explanation:
xy/5
.........
....................
write an algebraic expression that marshall can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. How much will it cost to buy a watermelon that weighs 18 1/2 pounds and 5 pounds of tomatoes if watermelon cost $0.68 and the tomatoes cost $3.25
Answer: The cost will be a total of $142.05. That is $125.80 for a Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
Step-by-step explanation:
Given: Watermelons are 0.68 / lb and tomatoes are 3.25 / lb.
Let w = watermelon weight
Let t = tomato weight.
An equation would be:
.68w + 3.25t = Total cost
For 185 lb of Watermelon and 5 lbs of tomatoes:
.68(185) + 3.25(5) =
$125.80 + $16.25 = $142.05
find the slope and y-intercept of the line 3x - 5y = 15
The slope of the given line, 3x - 5y = 15, is 3/5 and the y-intercept is -3
Determining the slope and y-intercept of a lineFrom the question, we are to determine the slope and y-intercept of the given line.
The given line is
3x - 5y = 15
To determine the slope, we will write the equation in the slope-intercept form of a line.
The slope-intercept form of a line is given as
y = mx + b
Where m is the slope
and b is the y-intercept
Now, we will express the given equation in this form
3x - 5y = 15
-5y = 15 - 3x
Divide through by - 5
y = -3 + 3/5x
y = 3/5x - 3
By comparing to the slope-intercept form of a line,
m = 3/5
and b = -3
Hence, the slope is 3/5 and the y-intercept is -3
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A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters. Is it a right triangle?
PLSSS HURRY !!!!!!!!!!
For the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters is the right triangle.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that, A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters.
We have to verify whether it is a right-angle triangle or not.
A right-angle triangle must follow the Pythagoras theorem.
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
If the longest side is the hypotenuse.
h²=p²+b²
LHS
68² = 1424
RHS
60²+25²
3600+625
4225
L.H.S=R.H.S
Thus, the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters in the right triangle.
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chris is 5 years older than 4 times arins age. the sum of their ages is less than 40. what is the oldest arin could be?
Answer: 6 years old.
Step-by-step explanation:
Chris: 5+4a
c + a<40
5 + 4a + a < 40
5a<35
a<7
For the oldest, let's assume Arin is 6, because it is the highest number that is less than 7.
Arin can be maximum of 6 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let the Arin's age be x.
So, Chris age is 4x + 5
Now, the sum of their ages is less than 40.
x+ 4x+ 5 < 40
5x < 35
x < 7
Hence, Arin can be maximum of 6 years old.
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What occurs when you are dealing with objects that are round
static friction
sliding friction
rolling friction
10/8 = n/10 proportions please
[tex]\displaystyle n=\frac{25}{2}[/tex]
Step-by-step explanation:A proportion is a set of equal ratios.
Cross Multiplication
The most common (and easiest) way to solve a proportion is cross multiplication. To cross-multiply, multiply the numerators by the opposite denominators. So, you are multiplying across the proportion.
After cross multiplying you get 10*10 = 8n.
Solving For n
Now, we can use algebra to find n.
100 = 8nJust, divide both sides by 8.
[tex]n=\frac{100}{8}[/tex]Then, simplify.
[tex]n=\frac{25}{2}[/tex]Checking The Answer
To check your answer all you have to do is plug n back into the equation.
[tex]\frac{10}{8}=\frac{25/2}{10}[/tex]This can be rewritten as
[tex]\frac{10}{8}= \frac{25}{2} *\frac{1}{10}[/tex]Then, the right side can be solved.
[tex]\frac{10}{8}= \frac{10}{8}[/tex]Suppose the following estimated regression equation was determined to predict salary based on years of experience.
Estimated Salary=22,717.59+2732.16(Years of Experience)
What is the estimated salary for an employee with 7 years of experience?
The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 41,842.71
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The estimated regression equation was determined to predict salary based on years of experience is,
⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)
Now,
Since, The equation is,
⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)
Hence, The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 22,717.59 + 2732.16 × 7
⇒ Estimated Salary = 22,717.59 + 19,125.12
⇒ Estimated Salary = 41,842.71
Thus, The estimated salary for an employee with 7 years of experience will be;
⇒ Estimated Salary = 41,842.71
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nswer the question.
The table shows the amount of fabric needed to make each item of doll clothes. Tamara is making 5 of
Fabric for Doll Clothes
Item Amount of Fabric Needed (feet)
Blouse2/12
Jacket 7/12
Skirt 7/12
How many feet of fabric are needed to make 5 of each item? Move numbers to the boxes to show the answer. If there is no whole number
put a 0 in the first box.
Equation:
5 x (2/12 + 7/12 + 7/12) = f f = amount of fabric needed
Solve:
10/12 + 35/12 + 35/12 = f
80/12 = f
Simplify:
6 8/12
Answer:
Tamara needs 6 ft and 8 inches of fabric to make five of each item.
Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
and show work
The solution to the inequality is m < −1 13/15 . m is less than negative 1 and 7 over 15
How to solve for the inequalityIn this question we have to solve for the inequality that is given as m + 1/5 < -1 2/3
We would have to rewrite the equation using the math tool
[tex]m +\frac{1}{5}\leq 1\frac{2}{3}[/tex]
The mixed fraction can be properly rewritten as improper fraction
[tex]m +\frac{1}{5}\leq \frac{5}{3}[/tex]
subtract 1/5 from 5/3
[tex]m\leq -\frac{5}{3} -\frac{1}{5}[/tex]
we have to carry out the subtraction of the fraction
[tex]m < \frac{-25-3}{15}[/tex]
[tex]m < \frac{-28}{15}[/tex]
This can be written in mixed fraction as
[tex]m < -1\frac{13}{15}[/tex]
Hence the solution of m is D. m < −1 13/15
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Complete question
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
Find the area of a Shaded portion
Find the area of a Shaded portion.
D. 68
Given the ratio 8 ounces to 1 cup,how many ounces are in 4 cups?
Answer:
32 oz
Step-by-step explanation:
Given the ratio 8 ounces to 1 cup, how many ounces are in 4 cups?
4 * 8 oz = 32 oz
Find the quadratic equation whose parabola has vertex (3, –2) and y-intercept (0, 16). Give your answer in vertex form, and show your work.
Please Help!!
Answer:
y = 2(x-3)^2-2
Step-by-step explanation:
We can find the quadratic equation by using the vertex form. The vertex form of a quadratic equation is:
[tex]y=a(x-h)^2+k[/tex], where x and y are any point on the parabola, a is the constant (indicating whether the parabola opens up or down), and h and k are the coordinates of the vertex.
Since we already have the y-int (an x and y coordinate lying on the parabola) and the vertex, we can plug in both to find a:
[tex]16=a(0-3)^2-2\\16=a(-3)^2-2\\16=9a-2\\18=9a\\2=a[/tex]
Thus, the equation is:
[tex]y=2(x-3)^2-2[/tex]
The perimeter of a rectangle is 54 inches and the length of one of its sides 6 inches. What is the combined length of the other three sides, in feet?
Answer:
4 ft
Step-by-step explanation
the combined length of the other three sides can be found with 54-6 is 48 inches
48 inches can be turned into feet by dividing by 12.
48in / 12=4ft
Given the definitions of f(x) and g(x) below, find the value of (ƒ o g)(2).
f(x) = -x + 2
g(x) = x² – 5x – 2
Wdym by definition Answer:
Step-by-step explanation:
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Answer:
c) Propability of rolling doubles=6
Propability of rolling a sum grrater then or equal to 8 = 15
(Together add up to 21)
d)6 ->(1,1)(1,2)(1,3)(2,1)(2,2)(3,1)
e)9 ->(1,6)(3,4)(5,2)(3,5)(5,3)(3,6)(5,4)(5,5)(5,6)
describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7
The mean of the given sample data is 210, and the standard deviation is 7.937.
Given size 'n' = 300
The population proportion 'p' = 0.7
Let 'x' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 300 × 0.7
μ = 210
b) variance of the binomial distribution
⇒ n p q
⇒ 300 × 0.7 ×0.3
⇒ σ² = 63
The standard deviation of the binomial distribution:
⇒ √n p q = √63 = 7.937
Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.
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The question seems to be incomplete the correct question would be:
describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution