Answer:
4 19/20 hours or 4 hours , 57 minutes
Step-by-step explanation:
Given
In 9 hours Maria can fill a certain order let Say X
In 9/9 hours Maria can fill X/9 of the order
in 1 hour Maria can fill X/9 of the order
__________________________________
In 11 hours Jim can fill a certain order let Say X
In 11/11 hours Maria can fill X/11 of the order
in 1 hour Maria can fill X/11 of the order
_____________________________________________
Therefore total order filled by them in one hour will sum of individual work done by them in one hour.
Mathematically,
total order filled by Jim and maria in one hour = work done by Jim in one + work done by Maria in one hour
total order filled by Jim and maria in one hour = 1/11 + 1/9
=> \(1/11 + 1/9 \\=> (9 + 11)/11*9\\=> 20/99\)
=>20/99 of certain order is filled by both of them in one hour.
=>Total order is one. Hence, to get 1 from 20/99 we need to multiply it with its reciprocal (i.e 99/20) as 20/99 *99/20 = 1
now
=>20/99 of certain order is filled by both of them in 1 hour.
=>multiplying both order and hour with 99/20 we have
20/99 *99/20 of certain order is filled by both of them in 1* 99/20 hour
Thus total order is filled by them in 99/20 hours = 4 19/20 hours.
1 hour has 60 minutes
so 19/20 has 60*19/20 minutes = 57 minutes.
Working together, Jim and Maria will take 4 hours , 57 minutes to fill the order.
A total of 491 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 fewer student tickets than adult tickets. How many adult tickets were sold?
Answer:
Театр кассасында уш Кун ишинде билет сатылды.биринши куни билет сатылды,екинши куни билет сатылды.ушинши куни неше билет сатылды?
The number of adults tickets that were sold is 275.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Adults ticket = x
Student's tickets = y
Now,
x = y - 59 ____(1)
x + y = 491 _____(2)
Substituing (1) in (2)
y - 59 + y = 491
2y = 491 + 59
2y = 550
y = 275
Now,
x = 275 - 59
x = 216
Thus,
The number of adult tickets is 275.
The number of student tickets is 216.
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4/9
is the additive inverse of which number?
Answer:
4/9
Step-by-step explanation:
PLEASE HELP!
I need help solving these problems.
1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x
2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x
3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1
4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x
5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x
6. When we simplify cos x + sin xtan x, the result obtained is sec x
How do i simplify the trig identities?We can simplify the trig identities as follow:
1. Simplification of sec² x + tan² xsec² x
sec² x + tan² xsec² x = sec² x(1 + tan² x)
Recall
sec² x = 1 + tan² x
Thus,
sec² x(1 + tan² x) = sec² x × sec² x
sec² x(1 + tan² x) = sec⁴x
Therefore, the simplified is written as
sec² x + tan² xsec² x = sec⁴x
2. Simplification of (sec² x - 1) / sin² x
(sec² x - 1) / sin² x
Recall,
sec² x - 1 = tan² x
Thus,
(sec² x - 1) / sin² x = tan² x / sin² x
Recall
tan² x = sin² x / cos² x
Thus,
tan² x / sin² x = (sin² x / cos² x) / sin² x
tan² x / sin² x = 1/ cos² x
Recall
1/ cos² x = sec² x
Therefore, the simplified expression is written as:
(sec² x - 1) / sin² x = sec² x
3. Simplification of (1/sec² x) + (1/csc² x)
(1/sec² x) + (1/csc² x)
Recall
sec² x = 1/cos² x
Thus,
cos² x = 1/sec² x
Also,
csc² x = 1/sin² x
Thus,
sin² x = 1/csc² x
Therefore, we have
(1/sec² x) + (1/csc² x) = cos² x + sin² x
Recall
cos² x + sin² x = 1
Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:
(1/sec² x) + (1/csc² x) = 1
4. Simplification of (sec x / sin x) - (sin x / cos x)
(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x
Recall
sec x = 1/cos x
sinx sinx = sin² x
Thus,
(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x
(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x
Recall
1 - sin² x = cos² x
Thus, we have
[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x
[1 - sin² x] / sinx cos x = cos x / sin x
Recall
cos x / sin x = cot x
Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:
(sec x / sin x) - (sin x / cos x) = cot x
5. Simplification of (1 + sin x)(1 - sin x)
(1 + sin x)(1 - sin x)
Clear bracket
1 - sin x + sin x - sin² x
1 - sin² x
Recall
1 - sin² x = cos² x
Thus, we have
(1 + sin x)(1 - sin x) = cos² x
6. Simplification of cos x + sin xtan x
cos x + sin xtan x
Recall
tan x = sin x / cos x
cos x + sin xtan x = cos x + sin x (sin x / cos x)
cos x + sin xtan x = cos x + (sin² x / cos x)
cos x + sin xtan x = (cos² x + sin² x) / cos x
Recall
cos² x + sin² x = 1
cos x + sin xtan x = 1 / cos x
1/cos x = sec x
Thus,
cos x + sin xtan x = sec x
The simplified expression of cos x + sin xtan x is sec x
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Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
Find unit rate $602 for 20 hours of work
On which number line the location of point P represent the probability of an event that is likely, but not certain?
The straight line that best represents something probable but not certain is option D.
It shows a probability of approximately 80%.
Brainliest if you pay for it
cheese and mustard for sale only $12.99 it is fresh crusty and yellow natural with skin from feet and very tasty get some cheese and mustard for sale make burgers with it make eggs with it make anything with it make toothpaste with it it makes it white and shiny call 811
Answer:
ohh thats interesting...
Step-by-step explanation:
Answer:
i'd pay for it--
*vomits in mouth*
Step-by-step explanation:
For signing up for the rewards program at a pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need to order to get a free one?
Answer:
20 pizzas
Step-by-step explanation:
4(x - 4) + 2x -10 and what the answer
Answer:
Expression: 6x - 26. Equation: 3
Step-by-step explanation:
EXPRESSION
4x - 16 + 2x - 10
6x - 26
EQUATION 1
4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)
4x = 2x + 6
2x = 6
x = 3
EQUATION 2
4x - 16 + 2x = - 10
6x - 16= -10
6x = 6
x = 1
is -2/5 equal to 5/2
Answer:
hypothetically it would but I am not sure :(
Step-by-step explanation:
A line passes through the point (-2, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
Answer:
y= (5/2)x+2
Step-by-step explanation:
Poindexter's uncle is building a house on land that has been devastated by hurricanes 160 times in the past 200 years. However, there hasn't been a major storm there in 13 years, so his uncle says this is a safe investment. His nephew argues that he is wrong because a hurricane must be due soon. What are the fallacies in the reasoning of both men?
Both men are committing fallacies in their reasoning. The occurrence of a hurricane on that land cannot be predicted with certainty, and making decisions based on fallacious reasoning can lead to poor outcomes.
What are the fallacies in the reasoning of both men?A fallacy refers to the statement in an argument that makes an error in logic. Fallacies are very dangerous because they lead to incorrect thinking about certain topics and may lead to an incorrect conclusion about that topic most of the time.
The fallacy in Poindexter's uncle's reasoning is known as the fallacy of induction. This fallacy occurs when someone assumes that because a certain event has happened in the past, it is likely to happen again in the future. While it is true that the land has been hit by hurricanes 160 times in the past, it doesn't necessarily mean that it will happen again in the near future.
On the other hand, Poindexter's nephew is committing the fallacy of the Gambler's Fallacy. This fallacy occurs when someone assumes that because something hasn't happened in a while, it is more likely to happen soon. In this case, the nephew assumes that a hurricane must be due soon simply because it hasn't happened in the past 13 years. However, the occurrence of a hurricane is not influenced by the time that has passed since the last one. Each hurricane is a unique event that is not influenced by previous occurrences.
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Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.
Answer:
(3,5)
Step-by-step explanation:
Mid-point = (1i+2j+5i+8j)/2
=(6i+10j)/2
=3i+5j
=(3 5)
12
Solve for x.
9
X+4
2x
will give brainliest
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
What is the quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, that can be written in the form of ax^2 + bx + c = 0 where x is the variable, a,b,c are constant and a is not equal to zero.
To solve for x in the equation 9/(x+4) = 2x, we can first clear the fractions by multiplying both sides of the equation by (x+4). This gives us:
9 = 2x*(x+4)
Then we can simplify the right side of the equation:
9 = 2x^2 + 8x
Next, we can move all the x terms to one side of the equation and all the constants to the other side:
2x^2 + 8x - 9 = 0
Now we can use the quadratic formula to solve for x:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 8, and c = -9
So we have:
x = (-8 +/- sqrt(8^2 - 42-9)) / 2*2
x = (-8 +/- sqrt(64 + 72)) / 4
x = (-8 +/- sqrt(136)) / 4
x = (-8 +/- 4*sqrt(17)) / 4
x = (-2 +/- sqrt(17))
So the solutions for x are x = -2 + sqrt(17) and x = -2 - sqrt(17)
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
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O LINEAR EQUATIONS AND INEQUALITIES
Graphing a compound inequality o...
Graph the compound inequality on the number line.
x>-8 and x≤-3
The compound inequality on the number line is shown below.
We have been given a compound inequality. We are asked to graph the given inequality on number line.
x>8 and x≤3
The solution for the inequality is all values of x less than or equal to 3 and greater than or equal to 8.
We will have solid dots at x>-8 and x≤-3 .
One arrow of the number line would be from 3 to left of the number line (towards negative infinity). The other arrow will be from 8 to right side of number line towards positive infinity.
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The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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Blake’s Blacksmith Co. produces two types of shotguns, a 12-gauge and 20-gauge. The shotguns are made through a joint production process that ultimately produces 30 12-gauge shotguns and 30 20-gauge shotguns and costs a total of $3,600 per batch. After the split-off point, each type of shotgun goes through an additional crafting process before it is sold. The additional production process of the 12-gauge shotgun costs $30 per gun, after which it is sold for $182 per gun. The additional production process of the 20-gauge shotgun costs $28 per gun, after which it is sold for $154 per gun. Determine the amount of joint production costs allocated to each type of shotgun using the physical units method. Joint Product Allocation 12-gauge shotgun = 20-gauge shotgun = Totals=
Answer:
$1800 of joint production costs are allocated to each type of shotgun. That is $60 per shotgun.
Step-by-step explanation:
Equal numbers of shotguns of each type are produced in the joint process, so the joint process cost is allocated equally between the types. The allocation for each shotgun is ...
$3600/(30+30) = $60 . . . . allocated cost per shotgun of each type
plz SOLVE it CORRECTLY step by step asap
Answer:
Step-by-step explanation:
area of circle=π\(r^{2}\)
=22/7*\(21^{2}\)
=22/7*441
=9702/7
=1386 cm^2
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!
The solution is
1) Angles 7 and 6 are Vertical angles
2) Angles 1 and 8 are Alternate exterior angles
3) Angles 4 and 5 are Alternate interior angles
4) Angles 2 and 6 are Corresponding angles
5) Angles 6 and 8 are Complementary angles
What are angles in parallel lines?
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equalCorresponding angles are equalCo-interior angles add up to 180°Given data ,
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.
Each pair of alternate angles around the transversal are equal to each other.
The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size.
Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other.
Co-interior angles on the same side of an intersecting transversal add to 180°
Hence , the angles are
1) Angles 7 and 6 are Vertical angles
2) Angles 1 and 8 are Alternate exterior angles
3) Angles 4 and 5 are Alternate interior angles
4) Angles 2 and 6 are Corresponding angles
5) Angles 6 and 8 are Complementary angles
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Help its a two part question. Big points ans I will give brainliest
The equation of the axis of symmetry of the parabola is equal to x = 4.
How to derive the equation of the axis of symmetry
In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:
Vertex
(x, y) = (h, k)
Axis of symmetry
x = h
If we know that h = - 4, then the equation of axis of symmetry is x = 4.
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At the local Theatre of the Arts, tickets cost $4 for children and $5 for adults. In the opening Saturday night of a play, the theater made $540. The second day was a matinee and the prices were lower for children at $3 and the same price as Saturday for adults. They made $440 at the matinee.
A) Write a system of equations in standard form that represents the prices at the Theatre on Saturday and the second day.
B) Rewrite the system of equations in slope-intercept form. What are the y-intercepts of both equations?
A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.
B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.
A) Let's define the variables:
Let x represent the number of children attending.
Let y represent the number of adults attending.
On Saturday night:
The equation for the revenue generated on Saturday night is:
4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).
Matinee on the second day:
The equation for the revenue generated at the matinee is:
3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).
Therefore, the system of equations in standard form is:
4x + 5y = 540
3x + 5y = 440
B) Let's rewrite the system of equations in slope-intercept form:
On Saturday night:
4x + 5y = 540
Rearranging the equation, we get:
5y = -4x + 540
Dividing both sides by 5, we get:
y = (-4/5)x + 108
The y-intercept of this equation is 108.
Matinee on the second day:
3x + 5y = 440
Rearranging the equation, we get:
5y = -3x + 440
Dividing both sides by 5, we get:
y = (-3/5)x + 88
The y-intercept of this equation is 88.
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A random sample of 1000 oranges showed that the mean amount of juice per orange was 8.2 fluid ounces, with a standard deviation of 1.1 fluid ounces.
(a) Determine the z-score, to the nearest hundredth, of an orange that produced 6,4 fluid ounces of juice.
(b) The 2-score for one orange was 3.11. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.
(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64
(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63
(a) Calculating the values of the z-score 6.4 fluid ounceFrom the question, we have the following parameters that can be used in our computation:
Mean = 8.2
Standard deviation = 1.1
The values of the z-scores is calculated as
z = (z - Mean)/Standard deviation
So, we have
z = (z - 8.2)/1.1
When the score is 6.4, we have
z = (6.4 - 8.2)/1.1
Evaluate
z = -1.64
(b) Calculating the values of the z-scores 3.11 fluid ounceRecall that
z = (z - Mean)/Standard deviation
So when the score is 3.11, we have
z = (3.11 - 8.2)/1.1
Evaluate the expression
z = -4.63
Hence, the values of the z-scores are -1.64 and -4.63
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.
What is the median of: 3.7, 5, 9.2, 4, 6.1, 5, 2.6, 4, 5.2, 4?
Answer:
Median - 4.5 , i think
Step-by-step explanation:
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is
4.5
m
3
4.5 m
3
4, point, 5, start text, space, m, end text, cubed. Syrus isn't sure if the tent will be tall enough for him to stand inside.
What is the height of the tent?
The height of this tent is equal to 2 meters.
How to calculate the area of a triangle?In Mathematics and Geometry, the area of a triangle can be calculated by using the following formula:
Area of triangle = 1/2 × base area × height
Where:
b represents the base area.h represents the height.Volume of tent = Area of Triangle × Length of tent
4.5 = Area of Triangle × 3
Area of Triangle = 1.5 m²
Area of Triangle = (1/2) × base area × height
1.5 = (1/2) × 1.5 × h
Height, h = 2 meters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her total annual interest is $440, how much does she have invested?
Answer
The amount that Lydia has earned on her investment is $198 on the stock paying the 11% dividend and $252 on the stock paying 14% interest for a total earned of $450 on her $3600 investment.
Calculations and ParametersLet x represent half of her total investment.
The total annual interest earned is $450.
This is represented by the following equation:
0.11x + 0.14x= 450
Collect the like terms together
0.25x = 450
x= 1800
Therefore, half of her total investment is $1800 so her total investment is $3600.
Check the solution:
0.11∗1800 + 0.14 ∗ 1800 = 450
198 + 252 = 450
Therefore, she earned $198 on the stock paying the 11% dividend, and $252 on the stock paying 14% interest for a total earned of $450 on her $3600 investment.
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Help plssss!!! I would really appreciate it!
Answer:
The table represents a linear function.
Step-by-step explanation:
Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.
9. The following histogram is for the weights (lbs) of 63 male
college students.
a) What is the best description for the approximate shape
of this distribution?
A. Symmetric.
C. Skewed to the right. D. Bimodal
B. Skewed to the left.
b) In the histogram, how many males' weights show to be less than 150 lbs?
c) What proportion (percentage) of the weights of males is more than 230 lbs?
The distribution is bimodal (a), eight men weigh less than 150 lbs (b), and the percentage of males that weigh more than 230 lbs is 3.17%.
What can be observed in this histogram?A: Distribution: The distribution can be classified as bimodal, which means there are two peaks in the graph.
B. The number of males that weigh less than 150 lbs can be determined as follows:
110 - 120 lbs = 2 males
130 -140 lbs = 2 males
140 - 150 lbs = 4 males
2 + 2 + 4 = 8 males
C. The percentage of males that weigh more than 230 lbs can be calculated as follows:
63 = 100%
2 = x
x= 2 x 100 / 63
x = 200 / 63 = 3.17%
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Need the answer to this please
Answer:
the answe is c
Step-by-step explanation:
okay