Given:
The graph of a proportional relationship contains the point (8,4).
To find:
The corresponding equation.
Solution:
If y in directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
The graph of a proportional relationship contains the point (8,4).
Putting x=8 and y=4 in (i), we get
[tex]4=k(8)[/tex]
[tex]\dfrac{4}{8}=k[/tex]
[tex]\dfrac{1}{2}=k[/tex]
Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\dfrac{1}{2}x[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].
The surface area of a sphere is π sq.cm. If its radius is
doubled by,how much is its surface area increased ?
Answer:
hope it helps..........
What type of number is 114?
Real
Imaginary
Complex
Answer:
real
Step-by-step explanation:
Real
Complex is a number like pi
Imaginary is numbers like i
Answer:
It should be real Complex because all real and Imaginary numbers are complex.
I need help with my math homework.
Find the slope of each line.
Thanks!
help please i dont no
2 /8 The Math Club’s spring banquet was a huge success, and Ray and Aletha are calculating the tip. The total bill was $360. What is the amount of tip that Ray and Aletha if they leave a 20% tip? $50 $542 $72 $56
Answer:
$72
Step-by-step explanation:
im guessing
Easy! What is -6^2? The calculator says -36, but -6*-6 is 36. Confusing.
You entered;
[tex]-6^{2}=(-1)(6)(6)=(-1)(36)=-36[/tex]
In order to get the answer that you intended;
[tex](-6)^{2}=(-6)(-6)=36[/tex]
It takes 3 people a total of 192 hours to build a wall. How long would it take if 12 people built the same wall?
Step-by-step explanation:
you need to solve this using fractions.
Example :
It takes 3 men 8 hours to build a wall. How long would it take 4 men to build the same wall?
For 3 men: It is 1 wall divided by 8 hours, which is 1/8.
For 1 man: It is 1/8 divided by 3, which is 1/24.
For 4 men: It is 1/24 multiplied by 4, which is 1/6, = 6 hours.
What is 11.69517 rounded to the nearest thousandth?
The given number 11.69517 rounded to the nearest thousandth is 11.695.
What is the rounding off the number?
Rounding off a number means approximating it to a certain degree of accuracy by replacing it with another number that is nearly equal to it but has a shorter, simpler, or more explicit representation.
To round 11.69517 to the nearest thousandth, we look at the digit in the fourth decimal place, which is 5. Since 5 is greater than or equal to 5, we round up the digit in the third decimal place (9) by adding 1 to it. Therefore, 11.69517 rounded to the nearest thousandth is 11.695.
Hence, the given number 11.69517 rounded to the nearest thousandth is 11.695.
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Answer:
11.695
Step-by-step explanation:
Which equation has infinite solutions for x?
Answer:
Equation 3
Step-by-step explanation:
Help needed quickly, have to turn in, in 19 minutes
Answer:
angles F and G are supplementary
Step-by-step explanation:
The angles add up to 180
Answer:
F and G
Step-by-step explanation:
120 and 60 degrees add up to 180, and supplementary angles need to add up to 180. Therefore, F and G are supplementary angles. Hope it helps!
Hep need please and thanks
I need help with Geometry
Answer:
1st option
Step-by-step explanation:
We see that one angle is 28, so because of alternate interior angles, angle two is also 28. Angle one is 90 because those two lines are perpendicular and the only available options for A is 90, and measurement angle 3 is going to be 180 - (90 + 28) (sum of interior angles in a triangle) and you're going to get 62.
Let me know if you have any questions
hannah is making jewlery for an Arts and Crafts show. She would like to make at least $120 in sales. She only made 40 pieces of jewlery. The earrings that she is selling cost $3 and the necklaces $6.
Answer:
she could make 40 earrings or 20 necklaces
Step-by-step explanation:
Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain
Answer:
1/6 ; 2/6 ; 2/6
Step-by-step explanation:
To split 5/6 into. 3 different fractions with the same denominator and different numerator values;
The integer value of the numerator 5 can be divided into 3 different whole Number values ;
It could be :
5 = 3 + 1 + 1
5 = 2 + 2 + 1
Hence, we could have ;
3/6 +. 1/6 + 1/6
Or
2/6 + 2/6 + 1/3
pls help me for brain list and a thanks and a 5 star review
3/4 + 2/4 = 6/4 or 3/2
Use the number line to add, second choice is simplified
triangle not drawn to scale
5 units
4 units
8 units
11 units
What kind of triangle is this?
O A.
isosceles triangle
OB. right triangle
OC. equilateral triangle
OD
scalene triangle
Answer:
D. scalene triangle
Step-by-step explanation:
This triangle has sides that all have different lengths. Therefore, this triangle is a scalene triangle.
Tips:
Isosceles triangle - two sides have equal lengths
Equilateral triangle - all three sides have equal lengths
I hope this helped! :)
Two trains leave stations 520 miles apart at the same time and travel toward each other. One train travels at 110 miles
per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
They wont meet
Step-by-step explanation:
The one going 110 will pass before the other one can reach it.
Please mark me the brainliest, 5 stars, and a thanks! Have a great day!
It will take 2.6 hours (or 2 hours and 36 minutes) long for the two trains to meet when Two trains leave stations 520 miles apart at the same time and travel toward each other.
To find the time it will take for the two trains to meet, we can use the concept of relative speed.
The two trains are traveling towards each other, so their speeds add up. The combined speed of the two trains is:
110 mph + 90 mph = 200 mph
To determine the time it will take for the trains to meet, we can divide the total distance they need to cover (520 miles) by their combined speed (200 mph):
Time = Distance / Speed
Time = 520 miles / 200 mph
Time = 2.6 hours
Therefore, it will take 2.6 hours (or 2 hours and 36 minutes) for the two trains to meet.
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3. 5x² + 13x = -6 * SHOW WORK *
what does the perpendicular bisector of a line mean?
Answer:
A line segment perpendicular to and passing through the midpoint.
Step-by-step explanation:
the perimeter a rectangle is 46 in if the width of the rectangle is 9 inches what is the length
The length of the rectangle is 14
steps:
9 + 9 = 18
46 - 18 = 28
28 ÷ 2 = 14
Does the following represent a function?
Answer below........
ans: 70 ...( it is by ; 180-110) because of straight angle= 180...........
Please help with math ASAP, will give brainliest!!
Answer:
45
60
135
150
Step-by-step explanation:
Remember:
1 radian is 57.3 degrees
A circular garden has a diameter of 6 yards. What is the area of the garden? Use 3.14 for n. O A. 113.04 yd? O B. 14.13 yd? O C. 28.26 yd? O D. 18.84 yd2
Answer:
the answer is 28.26.I hope you like it
Find the area of the circle to the nearest tenth. 12 in
А) 144л in^2
B) 6л in^2
C) 12л in^2
D) 36л in^2
Answer:
The answer is B
I had search that up before
The Lowest common multiple of 2 numbers is 126
what are the 2 numbers
Answer:
Step-by-step explanation:
The least common multiple of 126 and 131 is
16,506
3х - 30 = у
7y - 6 = 3х
Answer:
Step-by-step explanation:
This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y and the second is 7y – 6 = 3x
As I look, I see 3 ways to use substitution to solve this:
substitute 7y – 6 for 3xsubstitute 3x – 30 for ysolve 3x – 30 = y for 3x and make it equal to 7y – 6We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.
Method 1:
3x – 30 = y
7y – 6 = 3x — initial system of equations
7y – 6 – 30 = y — substitute 7y – 6 for 3x
7y – 6 – 30 = y — marking like terms, bold for constants, underlined for variables
7y – 36 = y — combining the constants and simplifying
Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.
7y – 7y – 36 = y – 7y — subtract 7y from both sides
–36 = –6y — simplify
–36 ÷ –6 = –6y ÷ –6 — divide by –6 on both sides
y = 6 — simplify
Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x
I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.
3x – 30 = y — initial equation
3x – 30 = 6 — substitute 6 for y
3x – 30 + 30 = 6 + 30 — add 30 to both sides to isolate 3x
3x = 36 — simplify the expression
3x ÷ 3 = 36 ÷ 3 — divide both sides by 3 to isolate x
x = 12 — simplify
So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.
7y – 6 = 3x — original equation
7(6) – 6 ≟ 3(12) — substitute 6 for y and 12 for x
42 – 6 ≟ 36 — simplify by multiplying
36 = 36 ✔ — simplify by combining like terms on left side
Success! It works! We have found our solution!
I hope this helps increase your understanding of the concept. Have a great day!
Solve this system of equations
3x+4y=36
y= -1/2x+8
x=
y=
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36
3x + 4(-1/2x + 8) = 36
3x - 2x + 32 = 36
x + 32 = 36
x + 32 - 32 = 36 - 32
x = 4
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
× + 2 + 2x + 3 = 4x PLS HELP ME
Answer: 8
Step-by-step explanation:
Answer:
I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.
95 is 5% of what number
1,900 I think, I hope this helps
Answer:
1900 that's what was right for me.
Step-by-step explanation: