Answer:
Step-by-step explanation:
Zmax= 90l1 + 50l2
The objective function in a profit maximization model for the mixture of flammable liquids would be: Z = 90L1 + 50L2.
In a profit maximization model, the objective is to maximize the overall profit, which is represented by the variable Z in this case. The profit obtained from each ingredient is given by $90 for L1 and $50 for L2.
To maximize the total profit, we need to determine how much of each ingredient should be used in the mixture. Let L1 represent the amount of ingredient L1 used and L2 represent the amount of ingredient L2 used in the mixture.
The profit obtained from L1 is calculated by multiplying the amount (L1) by the profit per unit ($90.00), which is 90L1. Similarly, the profit obtained from L2 is calculated as 50L2.
The objective function Z represents the total profit, which is the sum of the profits obtained from both ingredients: Z = 90L1 + 50L2.
By maximizing the objective function Z, the model will determine the optimal values of L1 and L2 that result in the maximum profit for the mixture of flammable liquids.
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How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution?
_quart(s) of pure antifreeze must be added.
There are 0.857 quarts of pure antifreeze that must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution.
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that there is 10% times 3 quarts or 0.3 quarts of antifreeze in the current mix and we want a 30% solution.
Let the amount of pure antifreeze to be added would be x
The equation to solve becomes,
⇒ (0.3 + x )/(3 + x) = 0.3
⇒ (0.3 + x ) = 0.3 × (3 + x)
⇒ (0.3 + x ) = 0.9 +0.3x
⇒ 0.7x = 0.6
⇒ x = 0.857
Therefore, we need to add 0.857 quarts of pure antifreeze to the current solution to make a 30% solution.
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ompletion Status: Moving to another question will save this response. uestion 2 Consider two events: E and F. We know that P(E)=P(F) = 0.7. Are the two events E and F disjoin a. No, because P(E) and P(F) add up to more than 1 b. No, because P(E and F) is unknown OC. No, because P(E) and P(F) are equal d. Yes Ly A Moving to another question will save this response. E C E
The correct option a. No, because the probabilities P(E) and P(F) add up to more than 1.
What is termed as the disjoint sets?Disjoint sets are the ones in which their intersection results in such a null set. In set theory, we sometimes notice that two sets have no common elements, or that the intersection of a sets is an empty set or null set. This is referred to as a disjoint set. For instance, if we have X = a, b, c and Y = d, e, f, we can say that given 2 sets are disjoint because they have no common elements.For the given condition;
P(E) = P(F) = 0.7
the sum of both will be.
P(E) + P(F) = 1.4
But, we know that probability can never be more than 1.
Thus, there must be some elements which are common in both sets, which makes the set disjoint.
Thus, events E and F are not disjoint events.
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The parents of the Newton Junior High School Choir want to make a robe for each of the 24 choir members. If each robe requires 2 5/8 yards of cloth, what is the total number of yards of cloth needed to make all the robes?
Answer:
63
Step-by-step explanation:
Help please I don’t get it
Answer:
Step-by-step explanation:
-5 - 9x = 3-9x-8 (Used distributive property)
-5 - 9x = -9x-5 (-8+3 = -5)
- 9x = -9x (Add 5 to both sides)
0 = 0 (Add 9x to both sides)
U and V are mutually exclusive events.
P(U) = 0.29
P(V) = 0.38
Part (a)
P(U AND V) =
Part (b)
P(UV)=
Part (c)
P(U OR V)=
Answers
P(U and V) = 0
P(U or V) = 0.67
========================================
Explanation:
P(U and V) = 0 since U and V are mutually exclusive. Such events cannot happen at the same time. Example: flipping a coin to get heads and tails at the same time.
-------
P(U or V) = P(U) + P(V) - P(U and V)
P(U or V) = 0.29 + 0.38 - 0
P(U or V) = 0.67
-------
I'm not sure about P(UV) since there doesn't seem to be enough information. Does your teacher mention if the events are independent or not?
Simplify the follow expression show each step of ur work
-5 + -7 + 12
Answer:
0
Step-by-step explanation:
We just add left to right:
- 5 and -7 is -12
-12 plus 12 is 0.
Given m \| nm∥n, find the value of x.
m
n
t
(x+5)°
(x-13)°
Answer:
5
Step-by-step explanation:
564 is divided by 3 = 4
If four times a number is added to-7, the result is 3 more than twice the number what’s the number
Answer:
the number is 5
Step-by-step explanation:
let the number be x
4*(x)+-7=3+2x
4x-7=3+2x
2x=10
x=5
Use the GCF and the Distributive Property to find the sum of 38 + 57
Answer:
95
Step-by-step explanation:
You want the sum of 38 and 57 by making use of the GCF and the distributive property.
GCFThe GCF of two numbers can be found by looking at their difference (or their remainder when one divides the other). Here, that is ...
57 -38 = 19
This value is a factor of both numbers, so is their GCF.
Distributive propertyThe distributive property tells us how to express the sum with the GCF factored out:
38 +57 = 19(2 +3)
Then the sum is ...
19(2 +3) = 19(5) = 95
The sum is 95.
As an introduction to probability, a student is asked to roll
a fair, six-sided number cube seven times. The results of
those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the range of the data?
01
1.53
4
5
Answer:
Step-by-step explanation:
Based on the calculations, the IQR of this data is equal to 2.
How to determine the IQR of this data?
IQR is an acronym for interquartile range and it is a measure of the middle 50% of data values when they are ordered from lowest to highest.
Next, we would order the data from lowest to highest and then determine the median as follows:
Data = {1, 4, 4,} 4, {4, 6, 5}
Median = 4.
For Q₁ of the lower half of the data, we have:
Lower half = {1, 4, 4,}
Q₁ = 4.
For Q₃ of the upper half of the data, we have:
Upper half = {4, 6, 5}
Q₃ = 6.
Mathematically, IQR is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):
IQR = Q₃ - Q₁
IQR = 6 - 4
IQR = 2.
Answer by
Lanuel
The results of those seven rolls that are shown shows that the range is 5.
What is range?The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.
Given that a six-sided die is rolled 7 times, to give 1, 4, 4, 4, 4, 6, 5, we need to find the range,
The numbers that are gotten include:
1, 4, 4, 4, 4, 6, 5.
It should be noted that range is calculated as:
R = Highest value - Lowest value
R = 6 - 1
R= 5
Therefore, the range from the numbers given is 5.
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Find an equation of the line that satisfies the given conditions. Through (1, −6); parallel to the line x + 2y = 6
y=1/2x-13/2 is equation of the line that satisfies the given conditions. Through (1, −6) and parallel to the line x + 2y = 6
What is slope intercept of line?y=mx+c
where m is the slope.
Firstly we need to find the slope of the line x - 2y = 6 by using slope intercept form, y=mx+c.
-2y=6-x
2y=x-6
y=1/2 x-6
m=1/2 slope of the line x - 2y = 6.
For parallel lines slope will be same.
Now Use y = mx + b and the point (1,-6) to find b, the y-intercept.
-6= (1/2)*1 + b
-6-1/2=b
-13/2=b
y=1/2x-13/2 is the equation of line.
Therefore y=1/2x-13/2 is the line parallel to x + 2y = 6.
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TRANSLATE INTO ALGEBRAIC EXPRESSION.
3 less than 4 times the square of a number
Number= -2
Help me out!!!
Is due today!!
The radius of the large circle would just be the diameter of one of the smaller circles, so 14 inches.
In order to solve this, we will need to find the area of the large circle and subtract the area of two smaller circles.
I'll be using pi as 3.14 for this.
Large Circle:
[tex]A = \pi r^{2}\\A = \pi (14)^{2}\\A = 196\pi \\A = 615.44[/tex]
Smaller Circle:
[tex]A = \pi r^{2}\\A = \pi (7)^{2}\\A = 49\pi \\A = 153.86[/tex]
Now we just simply subtract them.
615.44 - (2 * 153.86)
= 307.72 inches
You might've noticed that is exactly half of the area of the larger circle.
That's because if you halve the radius of a circle, you will get one fourth of original area.
Use the graphs of f and g to evaluate the composite function.
f(g(-6))
Answer: 4
Step-by-step explanation:
f(x)=|x-5|
g(x)=-x-5
f(g(-6))=
f(-(-6)-5)=
f(6-5)=
f(1)=
|1-5|=
|-4|=4
Use the formula for computing future value using compound interest to
determine the value of an account at the end of 4 years if a principal
amount of $2,500 is deposited in an account at an annual interest rate of
5% and the interest is compounded daily. (Assume there are 365 days in
a year.)
The amount after 4 years will be $
(Round to the nearest cent as needed.)
The Total amount after 4 years will be $3000 and interest will be $500.
The rate at which you borrow or lend money is called the simple interest. If a borrower takes money from a lender, an extra amount of money is paid back to the lender. The borrowed money which is given for a specific period is called the principal. The extra amount which is paid back to the lender for using the money is called the interest.
You calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculation's mathematical formula:
A = P (1+rt)
P = Principal Amount
R = Rate of interest
t = Number of years
A = Total accrued amount (Both principal and the interest)
Interest = A – P.
Total amount after 4 years
⇒ $2,500 (1+5%×4)
⇒ $2,500 ×1.2\
⇒ $3000
interest= $3000 - $2,500= $500.
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PLEASE HELP !
You go to a store to buy sneakers. You have a coupon for $15 off. Write a function f(d) that models this discount on an item that costs d dollars
The function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15
How to write a function f(d) that models this discount on an item that costs d dollars?The given parameters are
Discount = $15
Value = d
The function f(d) that models this discount on an item that costs d dollars is
f(d) = Value - Discount
This gives
f(d) = d - 15
Hence, the function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15
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Select the correct answer.
The slope of line 2/3 is. Line mis perpendicular to line /.
What is the slope of line m?
Find the Domin and range f(x) =-2(x+3)2 -5
Domain and range of [f(x) =-2(x+3)2 -5] are as follows: x in RR, y in [-∞, -5].
What in mathematics are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f are contained in this collection (x). A function's range is the range of values that it can accept as input. The function produces this list of values once we enter an x value.
according to given information;
This is a polynomial of degree 2, "domain is x in RR," and "to determine the range, we require the vertex and if maximum" or "minimum turning point," the equation of the polynomial's vertex and range."" a parabola in "color(blue)"vertex form" is.
•(x)y=a(x-h)²+k
"where "(h,k)" are the coordinates of the vertex and a"
"is a multiplier"
f(x)=-2(x+3)²-5" is in this form"
"with "(h,k)=(-3,-5)" and "a=-2
"since " a <0" then maximum turning point"
"range is "y in(-oo,-5]
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A coin marked “0” and “1” is tossed an infinite number of times, the probability of 1 in any toss being equal to p 2 (0, 1). The resulting sequence (outcome) ! is parsed into consecutive blocks of increasing length: 2, 4, 6,..., etc. What is the likelihood that, in infinitely many of these blocks, the first half of the terms are either all 0’s or all 1’s?
It is very less possibilities that the first half of the terms are either all 0's or all 1's.
According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2
And the getting favorable outcomes that is 0 or 1: 1
Therefore, the probability for the given possibility is written as:
P(A) = n(A)/n(S) = 1/2
Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.
What is probability?
Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.
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If y= -252 when x = 84, what is Y when X =74?
Answer:
Step-by-step explanation:
So lets turn this into a ratio
-252/84
so now we need to know
y/74
So, -252/84= -3
so y/74 needs to be equal to -3
74*-3 = 222
-222/74=-3
So our answer is y = -222
Hope this helps!!^^
Please explain what are integers?
Answer:
: integers
1.
a number which is not a fraction; a whole number.
find the measure of the angle indicated x + 96 x+ 96
The measure of the angles shown is 90 degrees
Lines and anglesA line is defined as the shortest distance between two points while the point where two lines meet is known as an angle.
From the given diagram, the sum of both adjacent angles is supplementary to have:
x + 96 + 96 + x = 180
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -6
Substitute the value of x into the expression
<d = x + 96
<d = -6 +96
<d = 90 degrees
Hence the measure of the angles shown is 90 degrees
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At a local concert hall, the owner charges $7 per ticket. The owner must pay his band
$1200. Every customer receives a brochure that costs the owner $2 for each person.
The number of people that must attend for him to break even
is 240.
Given that the owner charges $7 per ticket, every customer receives a brochure that costs the owner $2 for each person and the owner must pay his band $1200.
We are required to find the people must attend for him to break-even.
Break even point is the point at which there is not any profits or losses.
We have to first form the equation for the break even.
Suppose the number of people be x.
Cost to the owner will be 1200+2x.
Revenue will be 7x.
Break even point will be at the point where 7x=1200+2x
7x-2x=1200
5x=1200
x=240
Hence the number of people that must attend for him to break even
is 240.
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Question is incomplete. It should include the following line:
Calculate the break even level for the owner of local concert hall.
Nina is making 4 pans of fudge to serve
after a music recital. For each pan, she needs 2/3
cup of condensed milk.
Draw a diagram to show two different ways that Nina could
measure the condensed milk needed for 4 pans of fudge.
The total number of condensed milk required is 8/3=2 2/3.
The total number of pan is 4
The condensed milk required for each pan is 2/3
The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.
The total number of condensed milk is 4. 2/3= 8/3
For first pan let the measuring cup is 1/4 then the condensed milk is measured as
1/4 . 2/3 =1/6
For second pan let the measuring cup is 1/2 , then the condensed milk is measured as
1/2 . 2/3 = 1/3
Hence the total number of condensed milk required is 2 2/3.
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Rewrite (128 + 32) using factoring. 2(124 +17) 4(32 + 8) 8(17 +4) 12(14+3)
The expression (128 + 32) when rewritten using factoring is 4(32 + 8)
How to rewrite the expression using factoring?The expression in the question s given as
(128 + 32)
Express the numbers 128 and 32 as the product of their factors
i.e. we factor out 4 from the expression
So, we have
(128 + 32) = (4 * 32 + 4 * 8)
Next, we factor out the common factor (i.e. 4) from the expression
So, we have
(128 + 32) = 4 * (32 + 8)
Rewrite the above expression as follows
(128 + 32) = 4(32 + 8)
Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)
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graph a function with a domain of all real numbers less than -4?
y
The range is the set of y values.
K
2
Create a proportion to solve for x.
16
22
11
A pease help please mb
Writing a multi-step equation for a real-world situation
TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a combined total of 118 MP3 and DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
total profit (in dollars)
The required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Let the number of MP3 players TechWiz sold last week would be x.
Here TechWiz Electronics makes a profit of $35 for each MP3 player sold.
Last week, TechWiz sold a combined total of 118 MP3 and DVD players.
As per the condition,
So the required expression for the combined total profit would be:
= 35x + 18(118-x)
= 35x + 2124 - 18x
= 17x + 2124
Hence, the required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
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Landscaping boulders weigh 28 pounds each. Using b for the number of boulders and w for the weight, write an equation that relate the two variables.
Equation should begin with w =.
solve for v -4v=-24 simplify your answer as much as possible
this is Multiplicative property of equality with integers
Answer:
v = 6
Step-by-step explanation:
Given equation:
-4v = - 24Divide both sides by - 4:
-4v / - 4 = - 24 / -4v = 6Answer:
The value of v is 6.
Step-by-step explanation:
Solving for the value of v,
→ -4v = -24
→ v = (-24)/(-4)
→ v = 24/4
→ [ v = 6 ]
Hence, the value of v is 6.
