The direct variation equation to represent the relationship between the number of tickets and the cost of the ticket is y = 8x.
What is graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
56, 48, 40, 32, 24, 16, 8, 0, y
7, 6, 5, 4, 3, 2, 1, 0, x
Here, x is the number of tickets and y is the cost of the ticket
As you can see that the cost of each ticket is $8,
Then the equation will be,
y = 8x
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What is the slope of any line perpendicular to Y 7x 8?
To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line .The slope of any line perpendicular to Y = 7x + 8 is -7.
The equation of any line perpendicular to Y = 7x + 8 is in the form of y = mx + b where m is the slope.
To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line.
The slope of the given line (Y = 7x + 8) is 7. Therefore, the slope of the line perpendicular to it is the reciprocal of 7, which is -7.
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The sum of 3 consecutive odd numbers is 51.
What is the second number in this sequence?
Answer:
17
Step-by-step explanation:
15 + 17 + 19= 51
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Using the equation we know that the flowerbed is 2250 feet away from the hive.
What are equations?A mathematical assertion that has an "equal to" symbol between two expressions with equal values is known as an equation.
As in 3x + 5 Equals 15, for instance.
So, let's say the flowerbed is feet away from the hive.
The bee travels directly from its hive at a speed of 20 feet per second to a flowerbed before returning at a speed of 12 feet per second.
Time = distance/speed
Therefore, the bee needed x/20 seconds to get to the flowerbed and x/12 seconds to fly back to the hive.
The bee spends a total of 20 minutes, or 2060 seconds, or 1200 seconds away from the hive. I
t spends 15 minutes, or 1560 seconds, at the flowerbed.
Consequently, the equation will be:
x/20 + x/12 + 900 = 1200
3x + 5x/60 = 300
8x = 60 * 300
8x = 18000
x = 18000/8
x = 22550
Therefore, using the equation we know that the flowerbed is 2250 feet away from the hive.
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Complete question:
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
What equation can you use to find the distance of the flowerbed from the hive?
Answer question with steps asap I’ll give brainliest! Use photo above
This is a table of values of three functions at selected values of x.
It is asking for h(f(-2))
Its saying, take f(-2), and take whatever you get from that and put it into h(x)
So, find f(-2).
Find x = -2, then see what f is there.
f(-2) = -1
So, find h(-1)
h(-1) = 0
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
How do you write a linear function step by step?
The following two methods are used to write a linear function;
1. Write linear functions from graph
2. Write linear equation from slope and ordered pairs
Given,
Steps to write linear functions;
The slope and the y-intercept are the two pieces of data required to build a linear function. Once these two variables have been established, you can replace m and b with them in the slope-intercept equation y = mx + b.
There are two methods;
1. Write linear functions from graph
By monitoring the linear function's rise and run, determine the slope.Determine the point at which the function crosses the y-intercept to determine the y-intercept.Replace the function with the slope and y-intercept f(x) = mx + b2. Write linear equation from slope and ordered pairs;
We only have half the information if we are provided the slope and an ordered pair. Although we now know the slope, we still need to determine the y-intercept. The following steps can be used to calculate this using the slope-intercept form:
By putting the slope and ordered pair (input, output) into f(x) = mx + b and solving for b, one can determine the y-intercept.Slope and y-intercept should be substituted into the equation f(x) = mx + b.
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anyone help me with this
In sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is where the term "angle" originates.
The meeting of two planes also creates angles.
We refer to these as dihedral angles.
So, as we can see that ∠Z and ∠D are equal:
Let, 's assume that x is 30 as given is an option (B).
Then, ∠Z and ∠D are 45°.
Which will make ∠ZHD a 90°.
Which will automatically make ∠AHD a 90°.
And, hence ∠AHD will not be 30°.
Therefore, in a sentence (A) the measure of the angle AHD is 30° is incorrect according to the given diagram.
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A food truck sells two types of food: a hot dog for 6$ and a hamburger for 8$. Yesterday, the food truck sold a total of 106 tickets for a total of 1106$.
Write the equations to find the number of hot dogs and hamburgers sold. Let be the number of hot dogs sold and be the number of hamburgers sold.
The minimum revenue by selling tickets will be $363 thus there will be no solution.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Suppose x is the number of hot dogs sold and y is the number of hamburgers sold.
As per the given,
hot dog for 6$ and a hamburger for 8$
6x + 8y = total cost
6x + 8y = 1106
Total x + y = 106
By substitution,
6(106 - y) + 8y = 1106
636 - 6y + 8y = 1106
2y = 470
y = 235
And, x = -129
Since the number cannot be negative thus it will be an incorrect question.
Hence "There won't be a solution because the minimum revenue from ticket sales will be $363.".
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
x=22.5 please mark me as brainlyiest
Step-by-step explanation:
2(x-3)=49
2x-6=49
2x=55
x=22.5
Answer: x=10 x=-4
Step-by-step explanation:
[tex](x-3)^2=49\\\\(x-3)=7^2[/tex]
Extract the square root of both parts of the equation:
[tex]\sqrt{(x-3)^2}=\sqrt{7^2} \\\\x-3=б7\\\\x-3=7\\x-3+3=7+3\\x=10\\\\x-3=-7\\x-3+3=-7+3\\x=-4[/tex]
what is:
1+1?
please give a step by step explanation and I will give brainly
Answer:
2
Step-by-step explanation:
count your fingerssssssssssssd
three and fifty-four thousandths written in number form
Answer:
3.054
i think
8. Two triangles have the same perimeter. One of
the triangles is an equilateral triangle with all of the
side lengths equaling x + 1. The other triangle has
side lengths of 2x, x, and 4x - 7. Find the perimeteter
of the equilateral triangle.
Answer:
he perimeter of the equilateral triangle is $3(x + 1) = 3x + 3$.
Step-by-step explanation:
The perimeter of the equilateral triangle is $3(x + 1)$ since the sides are all equal and there are three sides. The perimeter of the other triangle is $2x + x + 4x - 7$, which is also equal to $3(x + 1)$
Which number is the strongest correlation? 0.45 -0.75 0.12 0.87 -0.93
Answer:
The strongest correlation is 0.87. In general, a correlation is a measure of the strength and direction of a linear relationship between two variables. Correlation values range from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship. Among the numbers you have provided, 0.87 is the only one that is greater than 0, indicating a positive linear relationship between the two variables. This means that as one variable increases, the other variable also tends to increase. This is the strongest possible positive linear relationship, making 0.87 the strongest correlation among the numbers you have provided.
Step-by-step explanation:
Janelle earned 80% on a test and got 64 points.
1) How many total points were possible on the test?
Answer:
80
Step-by-step explanation:
To solve, we need to find what number 64 is 80% of. To do so, we need to solve the equation [tex]\frac{100}{80}[/tex] x 64. This gives us the answer, 80.
A rectangle has a length of 24 inches and a width of 13 inches. If 1 inch = 2.54 centimeters, find the area of the rectangle in centimeters. Round the answer to the nearest tenth.
A. 48.4 cm2
B. 480.4 cm2
C. 792.5 cm2
D. 2,012.9 cm2
The area of the rectangle in centimeter square is 2013 cm².
How to find the area of a rectangle?The area of a rectangle is the product of its length and width.
If the values of area and one of the sides of a rectangle is given the other one can be found by forming a suitable equation.
The length and width of the given rectangle can be written in cm as follows,
The length is given as 24 × 2.54 = 60.96 cm
And, the width is 13 × 2.54 = 33.02 cm
Now, the area of the rectangle can be obtained by taking the product of length and width as follows,
Area = 60.96 × 33.02
= 2012.89
Which can be approximated as 2013 cm².
Hence, the area of the rectangle is obtained as 2013 cm².
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A county planner prepares the following table showing population trends in three local towns. The first column gives the name of the town. The second column gives the population as of the last census. The third column gives the estimated increase or decrease in population since that census, expressed as a percentage of the previous population.
a. Choose one of these towns. Use the second and third columns to write two expressions showing the current estimated population of the town in terms of x, y, or z.
b. For whichever town you chose in part (a), let the census population be 6,742 people. Based on the percentage change for that town, calculate the estimated current population, rounding to the nearest whole number if needed. Be sure to show your work.
a) The estimated population for each town is given as follows:
Pleasantville: 0.98x.Amity Center: 1.05y.Harmony Corners: 1.07z.b) The current population of Harmony Corners is of: 7,214.
How to obtain the expressions?The expression are found applying the proportions in this problem, given from the percent change in the table.
The multiplier for each expression is given as follows:
Pleasantville: 0.98, as decrease of 2% means that the population is 2% of what it was in the last census.Amity Center: 1.05, as the increase of 5% means that the population 105% of what it was in the last census.Harmony Corners: 1.07, as the increase of 7% means that the population 107% of what it was in the last census.Supposing that the population of Harmony Corners was of 6,742 on the Census, we have that:
z = 6742.
Hence the current population is of:
1.07 x 6742 = 7,214.
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If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
Answer: x = 13/4
Step-by-step explanation:
Easy, let's use x to define the number:
3x + 5 = 7x - 8
We take the 3x to the other side:
5 = 4x - 8
We take the 8 to the other side:
13 = 4x
x = 13/4
Which reason justifies step 6 below?
Use the diagram.
The congruence theorem that justifies the similar triangles of triangles EFH and GFH is given as follows:
D. AAS.
Why the two triangles are similar?For the triangles EFH and GFH in this problem, we have that:
The angles E and G have the same measure.The right angles have the same measure.The side lengths HF is the same, by the reflective property of congruence.These three features are used to identify the congruence theorem as follows.
Then the congruence theorem that justifies the similar triangles of triangles EFH and GFH is the Angle-Angle-Side theorem, given by option D, as:
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $5000 to rent trucks, and it will cost an additional $200 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:We can write the following equation.
C = 5000+200S
where C is cost and S = sugar transported in tons.
Plot is given in attached fig.
Step-by-step explanation:
What is the angle between two lines having slopes as 1 & 1?
The angle between two lines having slopes as 1 and 1 is 0°. thus, the two lines coincide with each other.
The formula to find the angle between two lines having slop m1 and m2 is
tan θ= ± (m2 – m1 ) / (1+m1m2)
Substituting the value of slope in this equation
tan θ = ± (1-1)/ (1 + 1×1)
tan θ =± 0
θ= [tex]tan^{-} (0)[/tex]
θ = 0°
When two straight lines cross, two sets of angles are created. The intersection creates two acute angles and two obtuse angles. The slopes of the intersecting lines have an impact on the angles' absolute values.
It is also important to note that because the slope of a line parallel to the y-axis is indeterminate, it is impossible to calculate the angle created by two lines intersecting.
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Find the slope of the line that passes through the points. If necessary, leave your answer as a fraction, not a mixed number.
(-1, 7) and (5, 7)
(1, 2) and (5, 0)
The slope of the lines in the question are 0 and -1/2
Slope of a LineSlope of a line is the change in y-coordinate with respect to the change in x-coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = y₂ - y₁ / x₂ - x₁
a)
Taking the two points;
m = 7 - 7 / 5 - (-1)
m = 0
The slope is equal to 0
b)
Using the same formula above;
m = y₂ - y₁ / x₂ - x₁
m = 0 - 2 / 5 - 1
m = -2 / 4
m = -1/2
The slopes are 0 and -1/2
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question 161 pts suppose a 95% confidence interval for obtained from a random sample of size 13 is (3.5990, 19.0736). find the upper bound of a 90% confidence interval for (round off to the nearest integer).
Goran went on a vacation for 6 weeks last summer. How many days long was Goran’s vacation
Answer:
Step-by-step explanation: D-days, W=weeks
7d times 6w=42 d
suppose s is the set of integers that are multiples of 3, and t is the set of integers that are odd. construct a bijection between the two sets, and prove that it is both onto and one-to-one.
A bijection between two sets is constructed below and also proved that it is both one-one and onto.
What is meant by one-one function?The phrase "one-to-one function" should not be mistaken with "one-to-one correspondence," which is used to describe bijective functions, in which each element in the codomain is a precise mirror image of a single element in the domain.
Any function that can work with the operations of two algebraic structures is said to be a homomorphism between them. An injective homomorphism is also referred to as a monomorphism for any commonly occurring algebraic structures, particularly vector spaces.
Let t∈T
Then,
t=2k+1, for some k∈Z
Let s=3k
Then,
s∈S and f(s)=2(s/3)+1
=2k+1
=t
Therefore, for every t∈T there exists s∈S such that f(s)=t
Thus, f is onto.
Hence,
f:S ----> T is a bijective mapping
⇒|S|=|T|
Now, we have to define a mapping f:S ---?T
By f(x)=2(x/3)+1, ∀x∈S
Given,
S={3k|k∈Z} and T={2k+1:k∈Z}
We have to prove:
|S|=|T|
Let x, y∈ S with f(x)=f(y)
Then,
2(x/3)+1=2(y/3)+1
2(x/3)=2(y/3)
(x/3)=(y/3)
x=y
So, f is one-one
Now, we have proved that f is both one-one and onto.
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Solve for x.3(-2x - 1) = 2(x + 5)
A) -138
B) -34
C) 138
D) 34
Answer:
[tex]a. \: x = \frac{ - 13}{8} [/tex]
Step-by-step explanation:
[tex]1. \: - 6x - 3 = 2x + 10 \\ 2. \: - 3 = 2x + 10 + 6x \\ 3. \: - 3 = 8x + 10 \\ 4. \: - 3 - 10 = 8x \\ 5. \: - 13 = 8x \\ 6. \: \frac{ - 13}{8} = x \\ 7. \: x = \frac{ - 13}{8} [/tex]
After solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the value of the variable x is 7.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, we got the equation:
3(-2x - 1) = 2(x + 5)
Now, solve for x as follows:
3(-2x - 1) = 2(x + 5)
-6x - 3 = 2x + 10
-6x - 2x = 10 + 3
-8x = 10
x = -13/8
Therefore, after solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.
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Correct question:
Solve for x.3(-2x - 1) = 2(x + 5)
A) -13/8
B) -3/4
C) 13/8
D) 3/4
In circle E with m/DEF = 60°, find the m/DGF.
کے
G
E
F
D
Answer: its the 3 anwers
Step-by-step explanation:
Given the geometric sequence 512 over 243 comma negative 128 over 81 comma 32 comma 27 comma and continuing comma what is a6?.
The 6th term of the geometric sequence is -1/2.
Here we have to find the a6the term of the geometric sequence.
Data given:
The series = 512/243, -128/81, 32/27.....
The formula to find the nth term of the geometric sequence:
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where [tex]a_{n}[/tex] = nth term of the sequence
a = first term of the sequence
r = common ratio
common ratio(r) = -128/ 81 ÷ 512/ 243
= -128/81 × 243/512
= -3/4
Now we have to find the 6th term of the series.
[tex]a_{6}[/tex] = 512/ 243 (-3/4[tex])^{6-1}[/tex]
= 512/243 (-3/4[tex])^{5}[/tex]
= 512/243 × 243/1024
= -512/1024
= -1/2
Therefore the 6th term is -1/2.
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Complete the factored form.
12x²-16x-3= (2x - 3)()
Answer: 2x(x^-4)(x^-2)
I need somebody to help me on this. 20 points. Please
Answer:
I have no idea sorry
Step-by-step explanation:
i'm in middle school
Please help. I’m struggling so bad. It’s ASAP :((
The interquartile range of the given data set is 2.16.
The given data is 2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22 and 3.26.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The order of the given data is 1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.02.
Here,
Q1= 1/4 (n+1) = 11/4= 2.75
= 2.22
Q3 = 3/4 (n+1) = 8.25
= 4.38
Q2 =4.38-2.22
= 2.16
Therefore, the interquartile range of the given data set is 2.16.
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can i get the formulas to find (time, rate, and principle) in simple interest. (JUST THE FORMULAS)
Answer:
Sure! The formula for simple interest is I = P x R x T, where I is the interest, P is the principal, R is the interest rate, and T is the time.
To find the interest, you would plug in the values for P, R, and T and solve the equation. For example, if you have a principal of $500, an interest rate of 10%, and a time of 5 years, the formula would look like this: I = 500 x 0.1 x 5 = $250.
To find the principal, you would rearrange the formula to solve for P. This would give you P = I / (R x T). Using the same values as before, the formula would look like this: P = 250 / (0.1 x 5) = $500.
To find the interest rate, you would rearrange the formula to solve for R. This would give you R = I / (P x T). Using the same values as before, the formula would look like this: R = 250 / (500 x 5) = 0.1.
To find the time, you would rearrange the formula to solve for T. This would give you T = I / (P x R). Using the same values as before, the formula would look like this: T = 250 / (500 x 0.1) = 5.
I hope this helps! Let me know if you have any other questions