On solving the provided question we can say that - 12.99(y - 9) + 2.75y = 100 , by solving, the expression x = 11.2, y = 19
What is linear equation?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
let x be the base ball cards.
and y be page card.
x + y = 9 -------------------1
12.99x + 2.75y = 100-------------------2
12.99(y - 9) + 2.75y = 100
by solving
x = 11.2
y = 19
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Kendie's family usually pays $36 for admission to the planetarium. On Sundays visitors receive a discount of 1/6 off the total admission price.
How much would Kendie's family pay to visit the planetarium on Sunday?
fraction diagram needed.
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
what is unitary method ?In mathematics, the linear approach is a way when resolving issues with direct or negative proportion. It entails figuring out the value of one unit of a quantity and utilising that value to figure out the value of any given quantity divided by that number of units. For instance, using the unitary technique, if we know that 5 oranges cost $10, we may calculate the price of 10 apples by first dividing $5 by 5 to get $2 per apple, multiplying $two by 10 to get $20 for 10 apples, and then using the result to get the price of 5 apples. In industries where proportional correlations are regularly found, like banking, business, and science, the unitary technique is frequently employed.
given
On Sunday, Kendie's family would shell out 1/6 less than the standard admission price, or 5/6 of the standard admission price.
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
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hhhhhheeeeeelpppplpppppp
Answer:
∠A=∠P, AC = PR
Step-by-step explanation:
Because triangles ABC and PQR are congruent their corresponding angles and sides are congruent.
So
∠A=∠P
∠B=∠Q
∠C=∠R
Also
Side AB = Side PQ
Side BC = Side QR
Side AC = Side PR
A certain number is increased by 6 and then multiplied by 4. This equals 94.
Answer:
22
i took this one
Answer:
17.5
Step-by-step explanation:
94 divided by 4 is 23.5 and I subtracted 6 from 23.5
Jenny is building a kite, as show below.one of the crossbars is 50 1/2cm long and the other is 90 1/2 cm long,how much fabric does she need?
The amount of fabric that should be used to build a kite with the above given dimensions would be = 2,285.125cm²
How to calculate the area of a kite?To calculate the area of a kite the formula that should be used would be = 1/2 d1d2
where d1 = 50½cm
d2 = 90½cm
The area of the kite;
= 1/2 × 50.5×90.5b
= 4570.25/2
= 2,285.125cm²
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May you please help me
Line JN = line AE = 22ft
Line DC = Line LM = 17ft
Line KL = line BC = 12 ft
< D = <M = 158°
< K = <B = 135°
What are congruent shape?Two shapes are said to be congruent when they both have the same length size and same angle measurements.
From the given shapes, polygon ABCDE = JKLMN.
Therefore the corresponding angles and lengths is as follows:
Line JN = line AE = 22ft
Line DC = Line LM = 17ft
Line KL = line BC = 12 ft
< D = <M = 158°
< K = <B = 135°
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if you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? why does your answer contradict the assumption of a normal distribution for score?
If you use the normal distribution to estimate the probability that score exceeds 100, the answer would be zero.
This is because a normal distribution is a continuous probability distribution, and the probability of any individual score, no matter how high or low, is always zero.
However, this answer contradicts the assumption of a normal distribution for scores because it implies that scores cannot exceed 100, which is not true. Scores can theoretically range from negative infinity to positive infinity, and in practice, there may be some scores above 100, especially if the measurement instrument is imprecise or the test is very difficult.
Therefore, if we observe scores that are higher than 100, it suggests that the assumption of a normal distribution may not be appropriate for the data, and we may need to use a different distribution or statistical model to estimate probabilities or make inferences about the scores.
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Which is not a legal python statement
a) print("x")
b) 3 + 4 = x
c) x = 3 + 4
d) x = eval(input("Enter x: "))
Which of the following are true statements?
Check all that apply
The true statements are:
A. The graph of function f(x) = -√(√(√x)) will look like the graph of f(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.
D. f(x) = √x has the same domain but a different range as f(x) = -√x.
What is graph?A graph is a visual representation of a mathematical relationship or data. It consists of points or vertices connected by edges or lines to show the relationship between them.
What is function?A function is a mathematical concept that relates an input value to an output value, such that for each input, there is exactly one output. It can be represented as a set of ordered pairs, a graph, or an equation.
According to the given information:
A. The statement A is true. The graph of function f(x) = -√(√(√x)) is a transformation of the function f(x) = √x. The negative sign outside the square roots will reflect the graph of f(x) = √x about the x-axis, and the multiple square roots will shrink the graph vertically by a factor of 1/2.
B. The statement B is false. The graph of function f(x) = -√(√x) is also a transformation of the function f(x) = √x, but it will only reflect the graph about the x-axis. It will not shrink the graph vertically.
C. The statement C is false. The graph of function |f(x)| = √(√(√x)) is not a transformation of f(x) = √x. The absolute value bars will make the graph symmetric about the y-axis, but it will not shrink it horizontally.
D. The statement is true. The graph of function f(x) = √x and f(x) = sqrt(x) are equivalent, and have the same domain (all non-negative real numbers) but different ranges. The range of f(x) = √x is [0, infinity) while the range of f(x) = sqrt(x) is (0, infinity).
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identify the values of a, h, and k in the given function, and choose the correct transformation.
The correct transformation is - "a is a stretch by a factor of 5, while h moves the graph to the left by 6, and k moves the graph up by 7".
Explain about the algebraic transformation:A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Every point in a reflection is equally spaced from a fixed line
The line of symmetry is another name for this curve. The Image and Pre-Image share the same size in a reflection.
General form for the member of the reciprocal family:
y = a /(x - h) + k ..eq 1
For the given function:
y = 5/(x + 6) + 7 ...eq 2
On comparing eq 1 and eq 2
a = 5
h = -6
k = 7
Now,
As, -6 is added to the x value, it shows the shift to left on x axis.5 is multiplied with the value of x, which represents the stretch with factor.At last 7 is added to the function, shows that there is a upward shift by unit 7.Thus, the correct transformation is - "a is a stretch factor of 5, while h moves the graph to the left by 6, and k moves the graph up by 7".
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An electrician is running wire from the electric box on a house to a utility pole 85 feet away. The angle of elevation to the connection on the pole is 17°. How much wire does the electrician need? (Round your answer to two decimal places.)
ft
The electrician needs approximately 296.26 feet of wire.
What is trigonometry?The links between triangle's sides and angles are studied in the mathematic discipline known as trigonometry. It entails an examination of triangle's angles, lengths, and areas as well as their angles' mathematical properties (such as sine, cosine, and tangent).
According to question:The situation described can be modeled as a right triangle, where the wire from the electric box to the pole is the hypotenuse, and the angle of elevation is one of the acute angles. Let x be the length of the wire needed in feet.
Using trigonometry, we can write:
sin(17°) = opposite / hypotenuse
where the opposite side is the height of the connection on the pole above the ground. We can solve for the hypotenuse (the length of wire needed) as follows:
hypotenuse = opposite / sin(17°)
To find the opposite side, we can use the fact that the angle of elevation is 17° and the distance from the pole to the point on the ground directly beneath the connection is 85 feet. This distance is the adjacent side of the triangle, so we can write:
tan(17°) = opposite / 85
Solving for the opposite side, we get:
opposite = 85 tan(17°)
Substituting this into the formula for the hypotenuse, we get:
hypotenuse = (85 tan(17°)) / sin(17°)
hypotenuse ≈ 296.26 feet
Therefore, the electrician needs approximately 296.26 feet of wire.
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a shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, where t measures time in hours since 9 am. suppose that the salespeople can serve customers at a rate of 75 people per hour. answer the following questions: d. when does the line vanish? answer: equation editorequation editor hours after opening.
A shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, the line will vanish at 9 am + 2.5 hours = 11:30 am.
Since the salespeople can serve customers at a rate of 75 people per hour, the net rate at which customers are added to the line is given by:
Net rate = R(t) - 75
where R(t) is the rate at which customers arrive.
The line will vanish when the net rate becomes zero, which means that the rate at which customers are added to the line is equal to the rate at which they are served. Thus, we have:
R(t) - 75 = 0
Solving for t, we get:
R(t) = 75
Looking at the graph, we can see that R(t) is equal to 75 at approximately 2.5 hours after 9 am. Therefore, the line will vanish at 9 am + 2.5 hours = 11:30 am.
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Kalani has a savings account and a checking account. For one year she deposited x dollars into her checking account every week and y dollars into her savings account every month. Each checking account deposit was half the amount of each savings account deposit, and the total of all deposits for the year was $15,200. Which system of equations can be used to determine the values of x and y?
Kalani deposited $200 into her checking account every week and $400 into her savings account every month.
What is system of equation?A group of equations that must be solved simultaneously is referred to as a system of equations. Typically, a system of equations involves multiple variables, and the goal is to find the values of those variables that satisfy all of the equations in the system.
According to question:Let's start by using the given information to write equations for the total amount deposited in each account over the course of the year.
For the checking account, Kalani deposited x dollars every week for 52 weeks, so the total amount deposited for the year is:
52x
For the savings account, Kalani deposited y dollars every month for 12 months, so the total amount deposited for the year is:
12y
We are also told that each checking account deposit was half the amount of each savings account deposit, so we can write:
x = (1/2)y
Finally, we are given that the total of all deposits for the year was $15,200, so we can write:
52x + 12y = 15200
A system of two equations with two variables is now available:
x = (1/2)y
52x + 12y = 15200
We can solve this system to determine the values of x and y. The result of putting the first equation into the second equation is:
52(1/2)y + 12y = 15200
Simplifying:
26y + 12y = 15200
38y = 15200
y = 400
Substituting y = 400 into the first equation, we get:
x = (1/2)y = (1/2)(400) = 200
Therefore, Kalani deposited $200 into her checking account every week and $400 into her savings account every month.
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HELLPPPPP PLS!!!! 20 POINTS
Using your calculator, graph these functions and find the solution to the system.
f(x)= x^2 + x - 6
g(x)= -2x^2 - 2x + 12
1- (-3, 0) and (2, 0)
2- (0, -6) and (0, 12)
3- No solution: They do not intersect.
4- (-6, 12)
The solutions to the system of equations f(x) = x² + x - 6 and g(x) = -2x² - 2x + 12 are (-3, 0) and (2, 0). So, correct option is 1.
To graph the functions f(x) and g(x) using a calculator, we can enter the equations into the calculator's graphing function and choose an appropriate window to display the graph. Once the graphs are displayed, we can look for the points of intersection to find the solution to the system of equations.
Using a graphing calculator, we can see that the graphs of f(x) and g(x) intersect at two points: (-3, 0) and (2, 0). These points represent the x-coordinates of the solutions to the system of equations.
To verify that these points are indeed the solutions, we can substitute each of them into both equations and check that they satisfy both equations simultaneously.
For point (-3, 0):
f(-3) = (-3)² + (-3) - 6 = 0
g(-3) = -2(-3)² - 2(-3) + 12 = 0
Therefore, (-3, 0) is a solution to the system of equations.
For point (2, 0):
f(2) = 2² + 2 - 6 = 0
g(2) = -2(2)² - 2(2) + 12 = 0
Therefore, (2, 0) is also a solution to the system of equations.
The point (0, -6) and (0, 12) are not the points of intersection and (-6, 12) is not a solution to the system of equations.
Therefore, the answer is option 1.
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Help it’s math it a picture
Answer:the first one
Step-by-step explanation:
P=70q, p=-q^2+12000
Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given
The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.
The supply function of a commodity is given as, p= 70q
The demand function of the commodity is given as, p= -q^2+12000
We know at equilibrium condition of market,
Supply of a commodity is equal to its demand in the market.
Therefore,
70q = p = -q^2+12000
⇒ 70q = -q^2+12000
⇒ q^2+ 70q -12000 = 0
⇒ q^2+ 150q - 80q -12000 = 0
⇒ q( q + 150) - 80( q + 150) = 0
⇒ (q -80) ( q + 150) = 0
⇒q = 80 ad q = -150
We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.
Therefore, the equilibrium quantity of the commodity is 80 units.
Thus, p = 70(80) = 5600 (in monetary units)
Therefore, equilibrium price of the commodity is 5600 (in monetary units).
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write a function that models the total amount of money Julia has after x weeks use x
The function that models the total amount of money Julia has after x weeks is f(x) = 27x + 254
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
Let f(x) represent the total amount of money Julia has after x weeks.
Julia has $254 and saves $27 each week, hence:
f(x) = 27x + 254
The function is f(x) = 27x + 254
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Based on the picture, Planter B is 9 inches by 3 inches by 3 inches. What is its volume?
Answer:
81
Step-by-step explanation:
for the volume you just multiple length, height, and depth
Answer: 81.
Step-by-step explanation:
9 x 3 x 3 . LxWxH brother!
3/8x - 6 = 1/2(4 - x)
Answer:
x= 64/ 7
Step-by-step explanation:
3/8x - 6 = 1/2(4 - x)
3/8x - 6 = 2- 1/2 x
3/8x - 8 = - 4/8 x
so 7/8 x = 8
x = 64/7
Justin paid
$10. 47
for a
6. 08
-
kg
bag of dog food. A few weeks later, he paid
$13. 88
for a
7. 48
-
kg
bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the
6. 08
-
kg
bag:
$perkg
Unit price for the
7. 48
-
kg
bag:
$perkg
The better buy:The
6. 08
-
kg
bagThe
7. 48
-
kg
bagNeither (They have the same unit price)
The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.
The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.
⇒ For the first bag of dog food:
The Cost is = $10.47,
The Weight is = 6.08 kg,
So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,
⇒ For the second bag of dog food:
The Cost is = $13.88,
The Weight is = 7.48 kg,
So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,
Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.
Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.
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The given question is incomplete, the complete question is
Justin paid $10.47 for a 6.08-Kg bag of dog food. A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
20PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Required value of cosy is 12/13.
What is Complementary angle?
Two angles are said to be complementary if their addition is 90°.Let if one angle is x then the other angle will be 90° – x. Hence, we use these complementary angles for trigonometry ratios, where one ratio is complementary to another ratio by 90 degrees such as,
[tex]sin(x) = \cos(\frac{\pi}{2} - x) \\ \tan(x) = \cot(\frac{\pi}{2} - x) \\ \sec(x) = \csc(\frac{\pi}{2} - x) \\ \cos(x) = \sin(\frac{\pi}{2} - x) \\ \cot(x) = \tan(\frac{\pi}{2} - x) \\ \csc(x) = \sec(\frac{\pi}{2} - x)[/tex]
Given, here x and y are complementary.
So, we can say that
[tex]x + y = {90}^{o} \\ y = {90}^{o} - x[/tex]
So,
[tex] \sin( x) = \frac{12}{13} \\ \sin( {90}^{o} - y) = \frac{12}{13} \\ \cos(y) = \frac{12}{13} [/tex]
Therefore, required value of cosy is 12/13.
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imma be giving brainliest if you help me!!!???!!??
using trignometric ratio of sine thee measure of the angle x to the nearest degree is 28 degrees
What is Trignometric ratio?Trigonometric ratios are ratios of the sides of a right triangle, such as sine, cosine, and tangent, that are used to find missing side lengths or angles.
What is angle?An angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex. It is typically measured in degrees or radians.
According the given information:
We can use the trigonometric ratio of sine to find the measure of the angle x.
sin(x) = opposite/hypotenuse
In this case, the opposite side is the height of the triangle, which is 13, and the hypotenuse is the length of the diagonal line connecting the base and the top of the triangle. We can use the Pythagorean theorem to find the length of the hypotenuse.
hypotenuse² = base² + height²
hypotenuse² = 22² + 13²
hypotenuse² = 769
hypotenuse ≈ 27.73
Now we can substitute the values into the sine ratio:
sin(x) = 13/27.73
x ≈ 28 degrees
Therefore, the measure of the angle x to the nearest degree is 28 degrees.
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please help would be amazing
Answer:
(9,8)
Step-by-step explanation:
Solve the first equation
then solve the second equation with the substitute number from the first equation.
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7. 80 per pound with French Roast Columbian coffee that cost $8. 10 per pound to make a 20-pound blend. Their blend should cost them $7. 92 per pound. How many pounds of each type of coffee should they buy?
They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.
How many pounds of each coffee should be used?Let x be the number of pounds of City Roast Columbian coffee.
Let y be the number of pounds of French Roast Columbian coffee.
The total cost of the blend is 7.80x + 8.10y
The total weight is x + y = 20.
We can write an equation for the cost per pound:
(7.80x + 8.10y) / 20 = 7.86.
We will multiply both sides by 20 which gives:
7.80x + 8.10y = 157.20.
We can use this equation along with the total weight equation to solve for x and y:
x + y = 20
y = 20 - x (subtract x from both sides)
7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)
7.80x + 162 - 8.10x = 157.20 (distribute)
-0.30x = -4.80
x = 16
Solve for the equation (x + y = 20):
y = 20 - x
y = 20 - 16
y = 4.
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suppose that one customer who participated in the study is chosen at random. what is the probability that the customer did not have a high level of satisfaction with the company?
Answer: Without additional information about the study and the definition of "high level of satisfaction," we cannot determine the probability that a randomly chosen customer did not have a high level of satisfaction with the company.
The probability would depend on the specific criteria used to define a high level of satisfaction, as well as the distribution of satisfaction levels among the customers in the study.
If we have access to this information, we could use it to calculate the probability that a randomly chosen customer did not have a high level of satisfaction using the appropriate formulas or statistical techniques.
Step-by-step explanation:
{1, 2, 3,..., 175, 176, 177, 178}
How many numbers in the set above
have 5 as a factor but do not have
6-10 as a factor?
A. 1
B.
3
C. 4
D. 17
E. 18
Answer:
I'm guessing A
Step-by-step explanation:
175 is the only multiple of 5 so it has to be that also there's no option for zero
Write down the size of angle ABC. Give a reason for your answer.
Answer:
∠ ABC = 90°
Step-by-step explanation:
∠ ABC is the angle on the circle subtended by the diameter AC
it is the angle in a semicircle and is 90°
a band just recorded a new album with 13 tracks. the shortest song on the album is 1 minute and 14 seconds. The longest song is 5 minutes and 54 seconds. What is a reasonable estimate for the total time of the album?
To find a reasonable estimate for the total time of the album, we can add the times of the shortest and longest songs and divide by 2 to find the average time per song, and then multiply by the total number of songs on the album.
What is a reasonable estimate for the total time of the album?The shortest song on the album is 1 minute and 14 seconds, which is equivalent to 74 seconds.
The longest song on the album is 5 minutes and 54 seconds, which is equivalent to 354 seconds.
Therefore, the average time per song is:
(74 + 354) / 2 = 214 seconds
And the total time of the album is approximately:
13 songs x 214 seconds/song = 2,782 seconds
Converting this to minutes and seconds, we get:
2,782 seconds = 46 minutes and 22 seconds
So a reasonable estimate for the total time of the album is about 46 minutes and 22 seconds.
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-x² + 2x + x - 3x = -9 + 2 + 6
The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1
How to solve for the value of x in the equationWe shall solve for x by simplifying the equation and making x the subject as follows:
-x² + 2x + x - 3x = -9 + 2 + 6
-x² + 3x - 3x = 8 - 9
-x² = -1
multiply both sides by -1 we have;
x² = 1
take square root of both sides
x = √1
x = 1
Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1
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Can someone show me step by step on how to do this
An image of a rhombus is shown.
a rhombus with a base of 16 centimeters and a height of 14 centimeters
What is the area of the rhombus?
224 cm2
120 cm2
112 cm2
60 cm2
11PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED
Answer: tan 47/1 = x/.5 = x = .53618
Step-by-step explanation: