When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?
Answers
Answer:
Step-by-step explanation:
As given in the question
If e varies jointly with f and g.
i.e
e = kfg
Where k is the constant of variation.
As
When e = 4, f = 2, and g = 8
Put in the above
4 = k × 2 × 8
4 = 16k
e=k*fg, where k is the constant of variation. you can see how if either f or g increases, e increases as well, making e vary jointly with f and g. we are given the numbers e=4, f=2, and g=8, so when we input those into the general equations,
4=k*2*8,
k=1/4
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Answers
so number of adults is represented by x
number of seinors is represented by y
9x+6y=675 since every adult pays 9 and seinors pay 6
x+y=80 since adults+seinors=80
multiply x+y=80 by -6
-6x-6y=-480
add this to 9x+6y=675
9x-6x+6y-6y=675-480
3x+0=195
divide both sides by 3
x=65
there were 65 adults
subsitute 65 for x in x+y=80
65+y=80
subtract 65 from both sides
y=15
there were 15 seinors at the event
a. True
b. False
Answers
Answer:
The correct option is a.
Step-by-step explanation:
The given statement is all circles are similar to each other.
A circle is the set of points in a plane that are equidistant from a given point which is known as circle.
Two figures are similar if their corresponding sides are proportional.
Circles are completely dependent on its radius. The radius of any two circles are proportional for any point on the circles.
The statement "All circles are similar to each other" is true.
Therefore the correct option is a.
The statement "All circles are similar to each other" is true.
We know that,
Circles are a type of geometric shape with unique properties that set them apart from other shapes.
The defining feature of a circle is its set of points that are equidistant from a fixed point, known as the center.
This means that circles have a constant diameter and radii, regardless of their size.
Additionally, a circle's circumference is always proportional to its diameter, which is represented by the mathematical constant π.
Due to these consistent properties, all circles are considered to be similar to each other.
This means that any two circles have the same shape, but may differ in size.
Hence,
The statement that all circles are similar to each other is a fundamental truth in geometry and mathematics.
Learn more about the circle visit:
#SPJ6
3x+1/14=2x/8
Answers
24x+(4/7)=2x ( i multiplied everything by 8)
22x+4/7=0 ( i subtracted 2x to both sides)
22x= -4/7 ( i subtracted 4/7 to both sides)
x= (-4/7)/ 22
x= -2/77
First, you multiply everything by 8, so you get:
Then, you develop, and you get:
You simplify
Then, you put known numbers apart (numbers without x), and unknown numbers apart (numbers with x), which means you move 2x to the other part (and it become -2x), and
you subtract and you get:
then, you move 22 to the other part, and since it's a multiplication, it become a division, so you get:
As you know,
You multiply and you get:
4 and 154 have a common factor which is 2, so you divide each one by 2, and you get:
you divide, and you get:
So,
Hope this Helps! :D
Answers
Answers
Answer:
10
Step-by-step explanation:
s= shovels=6
r= rakes= 6 + 4
Because 10 - 6= 4
(i hope this helped)
Answers
Answer: 12m by 4m.
Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.
Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.
w = x
l = x + 8
Use the equation for the perimeter.
P = 2l + 2w
Plug in your values:
32 = 2(x + 8) + 2(x)
Now, solve for x! First start by distributing the 2:
32 = 2x + 16 + 2x
Next, add like terms:
32 = 4x + 16
Subtract 16 from both sides:
16 = 4x
Divide by 4 on both sides:
4 = x
Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.
l = x + 8
Plug in your x and solve:
l = 4 + 8
l = 12
Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.