Answer:
z(max) = 5000
x₁ = 2
x₂ = 32
Step-by-step explanation:
Time Assemble Finish Inspection Profit
Small x₁ 3 2 1 100
Large x₂ 4 3 1,5 150
Availablity 140 100 50
Objective function:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
First constraint assembly capacity 140 hours
3*x₁ + 4*x₂ ≤ 140
Second constraint finishing capacity 100 hours
2*x₁ + 3*x₂ ≤ 100
Third constraint inspection capacity 50 hours
x₁ + 1,5*x₂ ≤ 50
Model:
z = 100*x₁ + 150*x₂ to maximize
Subject to:
3*x₁ + 4*x₂ ≤ 140
2*x₁ + 3*x₂ ≤ 100
x₁ + 1,5*x₂ ≤ 50
General constraints x₁ ≥ 0 x₂ ≥ 0 and integers
With the use of AtomZmath.com (online solver)
After 6 iterations the solution is:
z(max) = 5000
x₁ = 2
x₂ = 32
Sal purchases a new gaming system and games for $530. The tax is 7%. How much would he spend in taxes only ?
Answer: 37.1
Step-by-step explanation: 530 x .07
Answer:
$37.10
Step-by-step explanation:
You have to take the total price and multiply it by the decimal equivalent of the sales tax. In this case, 7% = 0.07, and so 530 x 0.07 = 37.10. If you wanted to get the total price (for future reference) then you would simply add the tax total to the original price.
What value of x satisfies this equation?
10(1.5)^3x = 80
Round your answer to the nearest hundredth.
The value of x is ___
Answer:
1.71
Step-by-step explanation:
got it right on my test
The required value of x for the given equation is about 1.71.
Equation:Important information:
The given equation is [tex]10(1.5)^{3x}=80[/tex].Divide both sides by 10.
[tex](1.5)^{3x}=\dfrac{80}{10}[/tex]
[tex](1.5)^{3x}=8[/tex]
Taking log on both sides, we get
[tex]\log (1.5)^{3x}=\log 2^3[/tex]
[tex]3x\log (1.5)=3\log 2[/tex]
Divide both sides by 3log(1.5).
[tex]x=\dfrac{3\log 2}{3\log 1.5}[/tex]
[tex]x=\dfrac{\log 2}{\log 1.5}[/tex]
[tex]x\approx 1.71[/tex]
Therefore, the required value of x for the given equation is about 1.71.
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find the value of the ratio a:5.7=8:12
Answer:
a = 3.8
Step-by-step explanation:
a : 5.7 = 8 : 12
It can be also written as -
[tex] \frac{a}{5.7} = \frac{8}{12} [/tex]
[tex] = > \frac{a}{5.7} = \frac{2}{3} [/tex]
Multiplying 5.7 on both the sides ,
[tex] = > \frac{a}{5.7} \times 5.7 = \frac{2}{3} \times 5.7 [/tex]
[tex] = > a = \frac{2}{3} \times 5.7 = 3.8[/tex]
Find the value of x justify a reason for your setup
Answer:
4(x+6)=(5x+11)
4x+24=5x+11
5x-4x=24-11
x=13º
angles trimmed by the vertices have the same measure
Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get
This is due today!!! Please help!!! C. What number is 40% of 160
Answer:
64
Step-by-step explanation:
40% = .4
160*.4 = 64
64 = 40% of 160
h = 3p + 5
Find the value of h when p = 7
Answer:
26
Step-by-step explanation:
h=21+5
h=26
The value of h will be 26, when p =7.
What is linear equation in two variables?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
What is substitution method?The method in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.
According to the given question we have
A linear equation in two variable
h = 3p + 5
So, the value of h when p = 7
Substitute, p = 7 in h = 3p + 5
⇒ h = (3 × 7) + 5
⇒ h = 21 + 5
⇒ h = 26
Hence, the value of h will be 26, when p =7.
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log5 (x) <-2
I need help fast
Answer: x < -2.861353
Step-by-step explanation:
simplify to: 0.69897x <-2
divide both sides by 0.69897
0.69897/0.69897 < -2/0.69897
so the answer is x < -2.861353
Put in Lowest Terms: 7x + 5 - 6x + 2
Helppp
Answer:
1x+7
Step-by-step explanation:
7x+5-6x+2
7x-6x =1x
5+2=7
1x+7
Answer:
1x + 7
Step-by-step explanation:
hey there!first, we put the x numbers on one and the numbers without the x on one side that will look like 7x-6x + 5 + 2 then we slove them that will look like 1x +7 now we add them but we cant not add them because one number is with x and the other number is not with x. if we can not slove we can write them as 1x + 7
have a wonderful day
For f(x) = 4x, find the value of x for which f(x) = 28
A. x = 28
B. x = 7
C. x = 112
D. x = 4
Solve this equation 2(a+3)=-4
Answer:
= -5
Step-by-step explanation:
Answer:
the answer is a=-5
Step-by-step explanation:
I got it right
Which one for number 1?????
Answer:
leaking out of the tank
Step-by-step explanation:theres a " - " in the back of the number
Need help as soon as possible!!!!!!
before using a microscope, should the stage be way up?
True or False. And please tell me why you got that answer....
Answer:
Move it up as far as it will go without letting the objective touch the coverslip.
Step-by-step explanation:
The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
Answer:
r =13
Step-by-step explanation:
on the picture
If it's helpful ❤❤
THANK YOU.
reposting because nobody will help me..
Answer:
B
Step-by-step explanation:
18 = 2 * 3 * 3 = 2 *3²
[tex]18*3^{(n+2)} = 2*3^{2}*3^{n+2}\\\\[/tex]
[tex]= 2*3^{2+n+2}\\\\= 2*3^{n+4}\\\\= 2(3)^{n+4}[/tex]
Hint:
[tex]a^{m}*a^{n} = a^{m+n}[/tex]
Please need help on this one
Step-by-step explanation:
Since Angle DAB = 90°,
DB is the diameter of the circle.
Therefore m(Arc DA) + m(Arc AB) = 180°.
=> m(Arc AB) = 180° - 47° = 133°.
At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How lond did it take to complete each game? Use letters to represent the unknowns.
Answer: game 1 10 mins game 2 22
Step-by-step explanation:
Dustin bought 2/3 pounds of peaches for $3.00.what was the price he paid per pound of peches
Answer:
3
Step-by-step explanation:
if 2/3 was 3/3 then it would be divided into 3 there for 3
simplify equation: 6x2+7x−3x2−2x
Answer:
8x+4
Step-by-step explanation:
What percentage of 18 is 24? plss answer dis need it RIGHT NOW.
Answer:
75%
Step-by-step explanation:
Answer: 75
Step-by-step explanation: there ya go M8
Which is most likely the equation of the graph above?
Oy-5
O y=x+5
Ox=5
O y = 5x
Answer:
the answer is Y=5
hope this helps☺
Write the equation as a single logarithm.
log(x^2- 16) -log(x + 4)
a. log4
c. 108((x^2- 16)(x + 4)
b. log(x-4)
d. Iog(x + 4)
Answer:
B-log(x-4)
Step-by-step explanation:
Have a nice day lol i just know things
The equation as a single logarithm is:
[tex]log[(x^2 - 16)/(x + 4)].[/tex]
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Using the logarithmic identity,
log a - log b = log (a/b)
We can simplify the given expression as:
[tex]=log(x^2 - 16) - log(x + 4) \\= log[(x^2 - 16)/(x + 4)][/tex]
Therefore,
The equation as a single logarithm is:
[tex]log[(x^2 - 16)/(x + 4)].[/tex]
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The chess club ordered 40 pizzas to be divided equally among 120 participants. How much pizza will each participant get? Pick the answer
A). 3 pizzas
B). 2 pizzas
C). 1/2 of a pizza
D). 1/3 of a pizza
subtract 10 from w, then subtract 5 from the result
help me pleaseee
Answer:
w-10-5
Step-by-step explanation:
you are looking for the expression right??
Find the two numbers that have a mean of 12 and a range of 6.
Answer:
9 and 15
Step-by-step explanation:
9 + 15 = 24/ 2 = 12
15 - 9 = 6
The two numbers are 15 and 9.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Mean of two number is 12 and range is 6.
let the two number be a and b
So, Mean = (a + b)/ 2
12 = (a + b)/ 2
a+ b= 24.........(1)
Now, range = 6
a - b = 6........(2)
Solving equation 1 and 2 we get
2a = 24-6
2a = 18
a= 9
and, b= 24 - 9
b = 15
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i need help for my math homework:
If we all draw a triangle using the same three side
lengths, will we all draw exactly the same triangle?
Answer: The triangles will all be the same.
Step-by-step explanation: They might be in different orientation, but they are congruent, and they can be rotated to all match up.
One proof of congruence is "sss" meaning "If the three sides of different triangles are the same, the triangles are congruent."
HELP! 85 POINTS IF RIGHT!
A person noted that the angle of elevation to the top of a silo was 65° at a distance of 9 feet from the silo. Using the diagram approximate the height of the silo. *Round to the nearest whole foot*
Answer: Wouldnt the height be 585? Rounded would be 590?
Step-by-step explanation:
I thought you would have to multiply 65 x 9.
Answer:
24.7273 ft or 25 ft
Step-by-step explanation:
What is the answer to 2.5d + 7.5 = 20
Answer:
d=5 mark brainliest if satisfied
Step-by-step explanation:
Subtract 7.5 from both sides
2.5d=12.5
d=5
Jerry has been learning to multiply decimals by Integers.
When you multiply an Integer
by 0.01, it's the same as
dividing it by 100.
Is he correct? Prove your answer with examples!
Answer:
Yes
Step-by-step explanation:
Multiplying an integer by 0.01 is the same as Dividing such as :
0.01 = 10^-2
100= 10
For instance :
A number, n = 5 is multiplied by 10^-2
5 * 0.01 = 0.05
Thus, divide the number, n by 100;
5 / 100 = 0.05
Hence, the proof.
Can someone one plz answer this for me !
Answer:
-7
Step-by-step explanation:
Also for the last two you gave, the answers to your questions were wrong. They gave you the wrong answer. The answer for the other 2 were A ($30) and the slope for the other answer was (1/2)