Answer:
Step-by-step explanation:
x: boy
y: girl
x+y=89 & 89-(0.2x+0.5y)=55
⇒x+y=89 & 0.2x+0.5y=34
⇒ x=35 & y=54
Para la mezcla de Líquidos flamables utilizamos el ingrediente L1 y L2. Con una ganancia neta L1 =
$90.00, y de $50.00 para L2. ¿Cómo debo plantear la función objetivo en un modelo de maximización
de ganancias en la variable Z?
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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Think about the law of supply.it states that as prices rise quantity supplied will rise and as prices fall quantity supplied will fall. Now think about the flat screen TV market over the last 15 years or so the prices have come down significantly but there are many more flat screens TVs produced today than there were 15 years ago. Does this violate the law of supply ?
It does not violate the law of supply.
The law of supply states that the quantity of a good supplied (i.e., the amount owners or producers offer for sale) rises as the market price rises, and falls as the price falls. Conversely, the law of demand says that the quantity of a good demanded falls as the price rises, and vice versa.
we can also say that ,The law of supply says that a higher price will induce producers to supply a higher quantity to the market. Because businesses seek to increase revenue, when they expect to receive a higher price for something, they will produce more of it.
An increase in price almost always leads to an increase in the quantity supplied of that good or service, while a decrease in price will decrease the quantity supplied.
The law of supply is a fundamental principle of economic theory which states that, keeping other factors constant, an increase in price results in an increase in quantity supplied.In other words, there is a direct relationship between price and quantity: quantities respond in the same direction as price changes.
Hence ,It does not violate the law of supply.
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Harry needs wood pieces to complete a project in woodshop class. He needs six pieces of wood that have a length of two and five eighths feet and three pieces of wood that are one and one fifth feet. What is the total amount of wood that Harry will need for the project?
nineteen and seven twentieths feet
three and 5 over 6 feet
three and 1 over 7 feet
two and one fifth feet
The total amount of that Harry will need for the project is nineteen and seven twentieth feet. option A
Addition of FractionWood 1:
Length of each = 2 5/8 feetNumber of pieces = 6Total = Length of each × Number of pieces
= 2 5/8 × 6
= 21/8 × 6
= 126 / 8
= 15 3/4 meters
Wood 2:
Length of each = 1 1/5 feetNumber of pieces = 3Total = Length of each × Number of pieces
= 1 1/5 × 3
= 6/5 × 3
= 18/5
= 3 3/5 meters
Total amount of wood needed for the project = 15 3/4 meters + 3 3/5 meters
= 126/8 + 18/5
= (630+144) / 40
= 774/40
= 19 14/40
= 19 7/20 meters
Therefore, the total amount of wood that Harry will need for the project is nineteen and seven twentieths feet. option A
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Wes bought a lobster roll and ice cream at a restaurant in New Hampshire, a state that has a 9% prepared food tax. Including the food tax, how much did Wes pay for a lobster roll priced at $23 and a double scoop of ice cream priced at $4.50?
Answer:
Reasoning:
Including the food tax, Wes paid $29.975 for both lobster roll and ice cream.
Given that, the cost of lobster roll=$23, the cost of ice cream=$4.50 and the tax on prepared food=9%.
What is a tax?A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behaviour aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs.
Now tax on an ice cream =9% of 4.50
=9/100 × 4.50
=0.09 × 4.50=$0.405
The total cost of an ice cream=4.50+0.405=$4.905
Tax on lobster roll =9% of 23
=9/100 × 23=2.07
The total cost of a lobster roll=23+2.07
=$25.07
So, the total cost=4.905+25.07=$29.975
Therefore, including the food tax Wes paid $29.975 for both lobster roll and ice cream.
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A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up. If one of the vertices of the original triangle is located at (5,-4), what is the ordered pair of this vertex of the new triangle after the translation?
please explain how to do it step by step I'm trying to learn the topic.
A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up then the original triangle is located at (5,-4), and vertex of the new triangle after the translation is equal to = (10, -3)
A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up.
If one of the vertices of the original triangle is = (5,-4)
Then the vertex of the new triangle after the translation is,
What is a Triangle :A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Based on the given conditions, formulate,
A triangle is 5 units right.
That means, +5
And Triangle is 1 unit up.
That means, +1
Original triangle is located at (5,-4)
So, we can write,
⇒ (5+5 , -4+1)
⇒ (10, -3)
Therefore, the new triangle after the translation is equal to = (10, -3).
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Tell whether the sum is positive, negative, or zero without adding. Explain
your reasoning.
30+(-30)
Answer:
Step-by-step explanation:
the sum is 0.
30+(-30)
= 30-30
=0
help asap math question
The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
Writing Linear equationsFrom the question, we are to determine the three equations that are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made
From the given information,
Desks use 50 units of wood, 40 units of fabrics, and 45 units of stuffing
Coffee tables use 30 units of wood, 15 units of fabrics, and 10 units of stuffing
Corner tables use 5 units of wood, 5 units of fabrics, and 5 units of stuffing
Also,
There are 690 units of wood, 620 units of fabric and 510 units of stuffing available to make the items
Thus,
The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
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You pay off a debt of $300 by paying 70%
Answer: you would be paying 210$ if that’s what you’re asking
Step-by-step explanation:
Translate this figure so that point A is at the origin. Name the coordinates of B. 2nd question: rotate ABC 90° clockwise about the origin.Name the coordinates of the vertices of ABC A_____. B_____. C_____
Triangle ABC is translated 2 units right and 2 units down so that point A would be at the origin; hence the translated point B would be at B'(-2, 6)
Triangle ABC is rotated 90° clockwise about the origin to get A'(2, 2), B'(8, 4) and C'(3, 9)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
A) The vertices of triangle ABC is at A(-2, 2), B(-4, 8) and C(-9, 3). Triangle ABC is translated 2 units right and 2 units down so that point A would be at the origin; hence the translated point B would be at B'(-2, 6)
B) The vertices of triangle ABC is at A(-2, 2), B(-4, 8) and C(-9, 3). It is rotated 90° clockwise about the origin to get A'(2, 2), B'(8, 4) and C'(3, 9)
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Pls help. You just need to solve for x I will mark you a branlyest
Answer:X=27
Step-by-step explanation:
(36-90)-180=54
54/2=27=x
Answer:
x = 27
Step-by-step explanation:
36 + ∠MON + 2x = 180
since ∠MON = 90
then 2x = 180 - 90 - 36
2x = 54
x = 27
I need this please help me
Answer:
40° and acute
Step-by-step explanation:
40 -0= 40 and anything below 90 degrees is an acute angle.
The angle is less than 90 itself so you would just use the blue number minus the other blue number which in this case is 0.
Multiply 0.012(0.03)
Find the equation of the line passing through the point (-3,5) that is parallel to y = -2x + 8.
Give your equation in the form y = mx + b.
The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the line with an equation y = -2x + 8, the slope of the line is -2.
Two equations are said to be similar if they have the same slope, hence the slope of the line is -2 and it passes through the point (-3, 5), hence:
y - 5 = -2(x - (-3))
y = -2x - 1
The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1
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The translation of triangle EGP is E’ (-1,-11), G(-10,5), P’(8,-15). If the corner of E is (-3, -6), what are the coordinates of G & P?
Question
You buy a container of cat litter for $11.50 and a bag of cat food for x dollars. The total purchase is $16.80, which includes 5% sales tax. Write and solve an equation to find the cost of the cat food.
The equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50
How to write and solve an equation to find the cost of the cat food?The given parameters are
Cat litter = $11.50
Cat food = x
Sales tax = 5%
Total =16.80
The equation is then represented as
(Cat litter + Cat food) * (1 + Sales tax) = Total
So, we have
(11.50 + x) * (1 + 5%) = 16.80
Divide both sides by (1 + 5%)
11.50 + x = 16
Evaluate the like terms
x = 4.50
Hence, the equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50
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Find the measure of the reflex angle, B.
A
167°
B
Step-by-step explanation:
360-167=193
B=193°....
Circumference of 4 cm
Answer:
25.12 cm
_-_-_-_-_-_-_-_×_-_-_-_-_-_-_-_
I need help before this assignment is due.
Answer:
3x10-3
Step-by-step explanation:
9:3=3
the power 10^10 becomes the inverse so 10^-10. You need to subtract the exponents 7-10=-3 (following powers rules)
Given g(x)=-x-4, find g(-2).
Answer: g(-2)=-2
Step-by-step explanation:
g(x)=-x-4
g(-2)=-(-2)-4
g(-2)=2-4
g(-2)=-2
[tex]3 \sqrt{2a - b { \: }^{2} } when \: a = 20 \: and \: b = 3[/tex]
what is the answer of this question
Answer:
Step-by-step explanation:
4
a
2
+
4
a
b
+
b
2
what is 8.65 as a fraction?
Answer:
8 13/20
Step-by-step explanation:
60 POINTS Graph the solution to this inequality on the number line. 3/5 z > 3/4
Answer:
open circle at 1 1/4 with an arrow pointing to the right towards 3
Step-by-step explanation:
you need to divide each side by 3/5 to get c all by itself when you divide fractions you keep change flip so it ends up being 5/4 or 1 and 1/4. Since be inequality is greater than and not greater than or equal to it will be an open circle and since z is greater than 1 and 1/4 the arrow will be pointing to the right
7. USE EFFICIENT METHODS The product of
two integers is -24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?
The two integers p and q are 12 and –2.
The product of two integer is –24
the difference between the two integer is 14
The sum of two integers is 10
if p+ q and pq are known then quadratic equation corresponding to roots as p and q is given by,
⇛ x^2 - (p+q)x + pq=0
simplify the value of p and q
⇛ x^2-10x-24=0
⇛ x^2-12x+2x-24=0
⇛ (x^2-12x)+(2x-24)=0
⇛ x(x-12)+2(x-12)=0
⇛ (x-12)(x+2)=0
The value of two integer are x=12,x=-2.
Hence, p and q are 12 and -2.
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At Landmark Tech, the ID numbers consist of two letters followed by 5 numbers with no repeating numbers or letters.
Part A) How many different ID numbers are possible?
Part B) What is the probability that a randomly selected ID number would have the initials BP in it?
the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
We have 26 alphabets and 10 digits.
Now, we have ID's that have two letters followed by 5 numbers with no repeating numbers or letters.
So, the possible number of ID's will be calculated by using the permutation.
Possible ID's = 26 × 25 × 10 × 9 × 8 × 7 × 6
Possible ID's = 19,656,000
Number of ID's with the initials BP will be:
Number = 1 × 10 × 9 × 8 × 7 × 6
Number = 30,240
Probability = 30240 / 19,656,000
Probability = 0.0015
Therefore, we get that, the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
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Find the unit rate of each birds speed in kilometers per hour
Therefore, the speed of the bird is 55.44 kilometers per hour.
We know that speed is given by the formula distance travelled divided by the time taken.
Here distance = 46.2 meters and time = 3 seconds.
We are asked to find the speed in terms of kilometers per hour.
So, we need to convert the meters into kilometres and the seconds into hours.
We know that 1 kilometer is equal to 1000 meters.
⇒ 1 meter = (1/1000) kilometer
⇒ 1 meter = 0.001 kilometer
Therefore, 46.2 meters = 46.2 × (0.001) kilometers = 0.0462 kilometers
We know that 1 hour is equal to 3600 seconds.
⇒ 1 second = (1/3600) hours
⇒ 3 seconds = (3/3600) hours
Therefore the speed of the bird is equal to
speed = 0.0462 ÷ (3/3600) kilometers per hour
⇒ speed = 3600 × 0.0462 ÷ 3 kilometers per hour
⇒ speed = 3600 × 0.0154 kilometers per hour
⇒ speed = 55.44 kilometers per hour
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Disclaimer:
The question is not complete.
Assuming the following as the complete question for answering.
An eagle flies 46.2 meters in 3 seconds. We need to find the speed of the eagle in kilometers per hour.
Look at the point P on the number line.
A number line going from negative 50 to positive 50. Point P is at negative 40.
100 POINTS HURRY!!
Which number lines have a point that is equal to point P? Check all that apply.
The number lines have a point that is equal to point P are number lines 1 and 3
How to determine the number lines have a point that is equal to point P?On the initial number line, we have the following parameters
Range = -50 to 50
Point P = -40
Next, we determine the parameters of the number lines in the options
So, we have
Number line 1:
Range = -60 to 0
Point P = -40
Number line 2:
Range = -60 to 0
Point P = -20
Number line 3:
Range = -60 to 0
Point P = -40
Number line 4:
Range = -60 to 0
Point P = -45
Using the above as a guide, we can conclude that the number lines have a point that is equal to point P are number lines 1 and 3
Hence, the number lines have a point that is equal to point P are number lines 1 and 3
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Answer:A & C
Step-by-step explanation:
Question 1 (4 points)
An amusement park charges $2.25 per ticket for the rides. Sean bought 30 tickets
for the rides and spent a total of $80 at the park. Sean spent his money only on ride
tickets and park admission. The price of the fair admission is the same for everyone.
Write a linear equation that can be used to determine the cost for anyone who only
pays for ride tickets and fair admission. Use y to represent the total cost and x to
represent the number of ride tickets. Explain how you calculated the equation
Answer:
y= 2.25x +12.5
Step-by-step explanation:
sean had bought 30 ride tickets and the park admission for a total of 80 dollars. 30 x 2.25 is 67.5 for the rides, leaving 12.5 dollars for admission. therefore everyone who pays for admission has to pay 12.5 dollars. therefore y=2.25x +12.5. 'x' being the number of tickets bought and 'y' being the total money spent.
The equation f(x)= 2|x|-9 translation 6 units up is g(x)=
what percent of $66.50=$38.57
Answer: 58%
Step-by-step explanation:
66.50 x 0.58 = 38.57
What is 5/10 as a decimal?
Answer: 0.5
Step-by-step explanation:
1/2=0.5
