The relation that is an inverse variation is the one in the first table:
x 2 4 6 8
f(x) 12 6 4 3
Which relation is an inverse variation?An inverse variation between two variables x and y can be written as follows:
y = k/x
Where k is a constant.
Notice that x is on the denominator, so, as x increases, the value of y decreases.
Now, for example if we use the values of the first table:
x 2 4 6 8
f(x) 12 6 4 3
The first pair is (2, 12)
Replacing that in the inverse variation formula we get:
12 = k/2
12*2 = k
24 = k
For the second pair (4, 6) we will get:
6 = k/4
6*4 = k
24 = k
And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).
So this is the correct answer.
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The county fair charges $3.25 per ticket for the rides. Henry bought 8 tickets for the rides and spent a total of $39.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
(a) Find the cost of admission to the fair. Explain how you found the cost of admission.
(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(c) Explain what the coefficient on x and the constant of your linear equation represent.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost per ticket = $3.25
Number of ride tickets purchased (x) = 8
Total amount spent at the fair (y) = $39.50
Henry's spending was only on ticket rides and fair admission
a) Find the cost of admission to the fair. Explain how you found the cost of admission.
Total spending = amount spent on ticket rides + cost of admission to fair
$39.50 = 8(3.25) + cost of admission
39.50 = 26 + cost of admission
Cost of admission = (39.50 - 26) = $13.50
(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
Since cost of admission is the same for everyone :
Total cost = 3.25x + 13.50
y = 3.25x + 13.50
(c) Explain what the coefficient on x and the constant of your linear equation represent.
3.25 = cost per ride ticket
13.50 = cost of admission to fair
A grand piano can weighton. How many
ounces can a grand piano weigh?
Answer:
12800
Step-by-step explanation:
Consider the diagram.
Lines AC and RS can best be described as
intersecting.
parallel.
perpendicular.
skew.
Answer:
Scew option D
Step-by-step explanation:
I have the same test
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane x Plane yLine AC is on plane x, while line RS is on plane y.
This means that both lines are non-coplanar
Planes x and y are not parallel; so lines AC and RS are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
See attachment for plane x and plane y
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What are the advantages of being a multinational corporation? Check all that apply.
expansion into new markets
access to cheaper labor
creation of a trade surplus
reliance on unskilled workers
lower tax payments
I will give 20pts, but don’t guess plz. Thank you!
Answer
A C and E
Step- by - Step explanation
The advantages of being a multinational corporation is,
Expansion into new markets Creation of a trade surplus Lower tax paymentsThe advantages of being a multinational corporation are following,
Specialisation in production. BMW produce engines in Germany, import tyres from Asia and then have plants assembling cars in many different countries, such as the UK.Outsourcing. A manufacturing firm in a high-labour cost economy can outsource the labour intensive production to cheaper labour cost countries and enable a reduction in costs.Tax avoidanceEmployment of skilled labourWider consumer base.Learn more about multinational corporation here :
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25 POINTS!!
Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 8 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
The hexagon has sides of 8 feet and the square 's sides are 16 feet long..
Step-by-step explanation:
If the side of the hexagon is x feet then the side of the square = x+8 feet.
So as the perimeters are equal:
8x = 4(x + 8)
8x = 4x + 32
8x - 4x = 32
4x = 32
x = 8 = side of hexagon so the square side = 16 feet.
Answer:
6
Step-by-step explanation:
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Solve: Sin(11 pi/2 + x) = -1/2 for [Pi, 2Pi].
StartFraction 4 pi Over 3 EndFraction
StartFraction 5 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 11 pi Over 6 EndFraction
Answer: B
The answer above is correct. It would be 5pi/3.
Step-by-step explanation: Edge2021
I just got it right on my quiz.
The value of the x is equal to the 5pi/3.
The expression is
[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]
The value of the given expression.
What is the expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]
[tex]11\cdot \frac{\pi }{2}+x=\frac{7\pi }{6}+2\pi n,\:11\cdot \frac{\pi }{2}+x=\frac{11\pi }{6}+2\pi n[/tex]
[tex]x=2\pi n-\frac{13\pi }{3},\:x=2\pi n-\frac{11\pi }{3}[/tex]
[tex]x=\frac{5\pi }{3}[/tex]
Therefore, The value of the x is equal to the 5pi/3.
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PLEASE HELPP PLEASEEEEEEEE DUE SOOONN PLEASEEE PLEASEEE
Wilson and William meet in the computer lab to type up their
assignments. Wilson can type at a speed of 29 words per minute, and
William can type 30 words per minute. Wilson already has 972 words typed
up, William has typed 971 words. They sit down and start typing together,
the two students will reach the same word count before long. How long will
that take? What will the word count be?
Answer: 4 hours and 10 minutes
Step-by-step explanation: YALL know that I don’t want to explain (It’s an LONG story) Divide the length of the document by the number of words per minute to find the number of minutes it will take. The number of minutes can then be divided by the number of minutes in an hour. 250 minutes is equivalent to 4 hours and 10 minutes.
Answer:
mmmm not sure but I think is in 1 minute xD
Step-by-step explanation:
wilson has 972+29(1 minute)= 1001
william has 971+30(1minute)=1001
Nine students were absent on the first day of a painting class and 12 students on the second day of the class. If p is the percent increase in the number of students who were absent, which proportion can be used to calculate p?
Answer:
ITS A
Step-by-step explanation:
Took DA TEST
Answer:
a
Step-by-step explanation:
there are 22 fourth grade students and 26 fifth grade students each cheerleading group will have 8 members what equation can be used to find out how many groups can be made
Answer:
(22 + 26) ÷ 8 = g (or groups)
Step-by-step explanation:
Answer:(26 + 22)/8 = z
Step-by-step explanation:
The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (negative 1, 0), (0, 3), (3, negative 1), (9, 9). Complete the statement. f(3) is .
Answer:
-1
Step-by-step explanation:
The value of f(3) is -1.
What is a Mapping Diagram?A mapping diagram is an image of two circles which shows two values corresponding to each other, such that one is the input value to the function and the other is the output value.
The input value circle represents the domain of the function and the output value circle represents the range of the function.
To check if the mapping diagram shows a function, it is observed that one input value is connected to only one output value.
The input and output value in the mapping diagram is:
(negative 1, 0), (0, 3), (3, negative 1), (9, 9).
The domain of the function is ( -1 , 0 , 3 , 9)
The range of the function is ( 0 , 3 , -1 , 9)
The value of f(3) is the value of function at input value of 3.
f(3) = -1
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parker wants to price the total cost of a new coat the coat cost $15.99 plus taxes there is a 7% tax on the coat how much taxes will she have to pay
Answer:
$17.11
Step-by-step explanation:
15.99*1.07 = 17.109 round up and you get 17.11
⚠️⚠️ What’s the coordinate numbers for A and B ⚠️⚠️
PLEASEE I WANNA FINISH
Answer:
A (-2,-3) B (3,-3)
Step-by-step explanation:
I took math in high school
Answer:
The coordinate numbers are A (-2,-3) B(3,-3)
what is 8/10 as a decimal
Answer:
the answer will be idkdhhegegegegege 0.8
a) Yolanda owns 9 shares of a certain stock. Yesterday the total value of her shares went down by
90 dollars. What was the change in value for each share?
b) A private club grew 7 members each week for 28 weeks. What was the total change in the club’s size?
(45 POINTS PLEASE HELP MEE)
a) - 90/9 = -10 (decrease by 10 dollars each)
b) 7 members/week * 28 weeks = 196 members (increase by 196 members)
If a pair of lines is intersected by Third line known as a transversal, then pairs of congruent angles are formed true or false
Answer:
true
Step-by-step explanation:
it forms eight angles
three more than a certain number is 6 less than 4 times that same number. what is the number?
Answer: 3
Step-by-step explanation:
Let x = the number
x + 3 = 4x - 6
-3x = -9
x = 3
The number that's represented by the information given will be 3.
Let the number be represented by x.
Since three more than a certain number is 6 less than 4 times that same number, then the number will be calculated thus:
x + 3 = (4 × x) - 6
x + 3 = 4x - 6
Collect like terms
4x - x = 3 + 6
3x = 9
x = 9/3
x = 3
Therefore, the value of the number will be 3.
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passes through (-8.-1) and has a zero slope
Answer:
y = -1
Step-by-step explanation:
A zero slope is a horizontal line
it is of the form
y=
The y coordinate is -1
y = -1
If 15% of x is 42, what is x?
The required whole value of x is 280 if 15% of x is 42.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
To determine the value of x, we can set up the equation: (15/100)x = 42.
This equation states that 15% of x is equal to 42.
To solve for x, we can divide both sides of the equation by (15/100) to get:
x = (100/15) × 42
x = 280
So x = 280.
This means that if 15% of x is 42, then the whole value of x is 280.
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Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of
possible combinations of dried fruit to peanuts for her terrific trail mix. The ratio she used was 3 to 5. The table below shows
the original recipe's ratio of dried fruit to peanuts.
Dried Fruit
(oz)
9
Peanuts
(oz)
45
27
80
Which of the following accurately fills in the missing information to identify equivalent ratios for Ms. Carey?
A 30 ounces of peanuts and 42 ounces of dried fruit
B. 48 ounces of peanuts and 15 ounces of dried fruit C . 3 ounces of peanuts and 54 ounces of dried fruit. D. 15 ounces of peanuts and 48 ounces of dried fruit
Answer:63:9
Step-by-step explanation:63:9
Kelly purchased 6 equally-priced CDs for a total of $75.30 what is the cost per CD?
Answer:
$12.55 per CD
Step-by-step explanation:
If each CD is of equal price, you must then divide the price by the number of CD's. (75.30/6=12.55)
Answer:
$75.30/6 = $12.55 per CD
Step-by-step explanation:
Since the CDs are equally-priced, my thought is that you would divided the quantity that you purchased by your total to get your answer. So, your total, $75.30 divided by, the amount of CDs purchased, 6. This would lead you to the answer $12.55, which is the cost of each CD. To check your answer you would multiply $12.55 by 6 to get $75.30.
Hope this helped! :D
Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 143 miles east and 45 miles north. Carol lives in Coconutville, located 98 miles east and 32 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving?
Answer:
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour
Step-by-step explanation:
The given information are;
The location of Bananatown from Appletown = 143 miles east and 45 miles north
The location of Coconutville from Appletown = 98 miles east and 32 miles south
Taking Appletown as the origin, we have;
The slope, gradient of highway 42 = 45/143
The equation of a line representing highway 42 is given as follows;
y - 0 = 45/143 × (x - 0)
y = 45/143·x
Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north
Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles
Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles
Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles
The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91
The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91 miles
The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈ 3.33 hours
The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.
The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours
Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.
anyone who can help?
I’ll give you the 35 points.
Answer: sqrt[9^2 + {1.85*9.00/0.60}^2] m = 29.0 m
Lee combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make a fruit bowls. He pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
7.63 ounces of strawberries + 5.26 ounces of blueberries
7.63 + 5.26= 12.89 - 1.37 left over = 11.52 to be split between 2 bowls equally
11.52/2 = 5.76 per bowl
5.76 ounces of fruit in each bowl.
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given,
strawberries = 7.63 ounces
blueberries = 5.26 ounces
Put the fruits into two equal bowls in equal amounts
let the amount be x
remaining amount = 1.37 ounces
According to the statements, we can state that,
2x + 1.37 = 7.63 + 5.26
2x = 11.52
x = 5.76
Therefore, the two bowl contains 5.76 ounces of fruit each.
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Can you help me with this problem? 292.4 ÷ 17
Thanks I appreciate your help
Stay safe during quarantine! Have a nice day
Answer:
17.2
Step-by-step explanation:
divide the numbers together and it will equal 17.2
Can anyone help me answer this? It due in a few minutes
Answer:
A
D
Step-by-step explanation:
Answer:
●A. (4x + 16)° = 180°
○B. x° = 49°
○C. m<A = 99°
● D. From smallest to largest: <B, <C, <A
The answers are both A and D.
WILL GIVE YOU BRAINLIST
find the slop
-4 1
-1 - 4
2 -9
5 -14
8 -19
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .Teachers use different words for the y-coordinates and the the x-coordinates . Some call the y-coordinates the rise and the x-coordinates the run . Others prefer to use Δ notation and call the y-coordinates Δ , and the x-coordinates the Δ .These words all mean the same thing, which is that the y values are on the top of the formula (numerator) and the x values are on the bottom of the formula (denominator)!The slope of a line going through the point (1, 2) and the point (4, 3) is 13. Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula.Can either point be (1,1) ? There is only one way to know! First, we will use point (1, 2) as 1,1, and as you can see : the slope is: 13 . Now let's use point (4, 3) as 1,1, and as you can see , the slope simplifies to the same value: 13point (4, 3) as (1,1) =2−12−1=3−24−1=13 point (1, 2) as (1,1) =2−12−1=2−31−4=−1−3=13 Answer: It does not matter which point you put first. You can start with (4, 3) or with (1, 2) and, either way, you end with the exact same number! 1/3
Example 2 of the Slope of A line The slope of a line through the points (3, 4) and (5, 1) is −32 because every time that the line goes down by 3(the change in y or the rise) the line moves to the right (the run) by 2.This is because any vertical line has a Δ or "run" of zero. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. The picture below shows a vertical line (x = 1). vertical line The slope of a horizontal line is zero This is because any horizontal line has a Δ or "rise" of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Below is a picture of a horizontal line -- you can see that it does not have any 'rise' to it.
Solve each equation and show all your work.
6x - 5 = 2x + 7
3z - 2 = 5z + 19
5x - 15 + 2x = 4x + 12
35x + 2 = 7
Answer:
x = 3
z = (-21)/2
x = 9
x = 1/7
Step-by-step explanation:
Solve for x:
6 x - 5 = 2 x + 7
Subtract 2 x from both sides:
(6 x - 2 x) - 5 = (2 x - 2 x) + 7
6 x - 2 x = 4 x:
4 x - 5 = (2 x - 2 x) + 7
2 x - 2 x = 0:
4 x - 5 = 7
Add 5 to both sides:
4 x + (5 - 5) = 5 + 7
5 - 5 = 0:
4 x = 7 + 5
7 + 5 = 12:
4 x = 12
Divide both sides of 4 x = 12 by 4:
(4 x)/4 = 12/4
4/4 = 1:
x = 12/4
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
Answer: x = 3
____________________________________
Solve for z:
3 z - 2 = 5 z + 19
Subtract 5 z from both sides:
(3 z - 5 z) - 2 = (5 z - 5 z) + 19
3 z - 5 z = -2 z:
-2 z - 2 = (5 z - 5 z) + 19
5 z - 5 z = 0:
-2 z - 2 = 19
Add 2 to both sides:
(2 - 2) - 2 z = 2 + 19
2 - 2 = 0:
-2 z = 19 + 2
19 + 2 = 21:
-2 z = 21
Divide both sides of -2 z = 21 by -2:
(-2 z)/(-2) = 21/(-2)
(-2)/(-2) = 1:
z = 21/(-2)
Multiply numerator and denominator of 21/(-2) by -1:
Answer: z = (-21)/2
________________________________________
Solve for x:
5 x + 2 x - 15 = 4 x + 12
Grouping like terms, 5 x + 2 x - 15 = (5 x + 2 x) - 15:
(5 x + 2 x) - 15 = 4 x + 12
5 x + 2 x = 7 x:
7 x - 15 = 4 x + 12
Subtract 4 x from both sides:
(7 x - 4 x) - 15 = (4 x - 4 x) + 12
7 x - 4 x = 3 x:
3 x - 15 = (4 x - 4 x) + 12
4 x - 4 x = 0:
3 x - 15 = 12
Add 15 to both sides:
3 x + (15 - 15) = 15 + 12
15 - 15 = 0:
3 x = 12 + 15
12 + 15 = 27:
3 x = 27
Divide both sides of 3 x = 27 by 3:
(3 x)/3 = 27/3
3/3 = 1:
x = 27/3
The gcd of 27 and 3 is 3, so 27/3 = (3×9)/(3×1) = 3/3×9 = 9:
Answer: x = 9
__________________________________________
Solve for x:
35 x + 2 = 7
Subtract 2 from both sides:
35 x + (2 - 2) = 7 - 2
2 - 2 = 0:
35 x = 7 - 2
7 - 2 = 5:
35 x = 5
Divide both sides of 35 x = 5 by 35:
(35 x)/35 = 5/35
35/35 = 1:
x = 5/35
The gcd of 5 and 35 is 5, so 5/35 = (5×1)/(5×7) = 5/5×1/7 = 1/7:
Answer: x = 1/7
Traffic lights at three different road crossing change after 48 seconds, 72 seconds, and 108 seconds respectively. At what time will they change together again if they change simultaneously at 7 A.M.?
Answer: 8:07:12
Find the Prime Factors.
48 = 2⁴ x 3
72 = 2³ x 3²
108 = 2² x 3³
Find the Least Common Multiple.
Two:
LCM = 2⁴ x 3³
LCM = 16 x 27 = 432
Convert 432 seconds to minutes.
432 seconds = 7 minutes, 12 seconds.
Hope this helps!
Answer:
7 minutes , 12s
Step-by-step explanation:
Thanks bro
How would you write 0.5.... as a decimal?
Answer:
0.5 is already a decimal.
Fraction: 1/2
Percent: 50%
Step-by-step explanation:
At the US Naval academy, the ratio of female students to male students is 1:19. If there are 209
female students enrolled, what is the total number of students in the school?