Is 1/4 less than or greater than 1/8

Answers

Answer 1
Answer:

If we divide the expressions and found in decimals then we found that 1/4 is greater than 1/8.

What is division?

Division is one of the four basic operations of arithmetic, it is the result of the number p/q. P/q can be found by dividing P by q.

How to divide number?

The given numbers are 1/4 and 1/8.

Value of 1/4=0.25

Value of 1/8=0.125

From the values we can conclude that 1/4 is greater than 1/8.

Hence we found that 1/4 is greater than 1/8.

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Answer 2
Answer: To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)

4*8 = denominator for both numbers.

8*1 = numerator for the first number

4*1 = numerator for the second number.

This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.

I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can!  :)


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Which graph represents the solution to the given system y=-5x-2 y+2=-5x

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=-5x-2 -------> equation A

y+2=-5x -----> equation B

Isolate the variable y in the equation B

y+2=-5x------> y=-5x-2

Equation A and equation B are equal

Line A and Line B are the same

therefore

The system of equations is a consistent dependent system

The system of equations has infinitely solutions

All ordered pairs belong to the line are solutions of the system

see the graph in the attached figure

y1 = -5x - 2;
y2 = -5x - 2

y1 = y2, => infinitely many solutions

H = vt - 16t^2, solve for v

Answers

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it lessdifficult, is the definition of simplification.

The equation is given below.

h = vt - 16t²

Simplify the equation for v, then the equation is written as,

h = vt - 16t²

vt = h + 16t²

v = (h + 16t²) / t

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

More about the solution of the equation link is given below.

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H=vt-16t²
vt-16t²=H
vt=16t²+H
v=(16t²+H)/t
v=16(t²/t)+H/t
v=16t+H/t

Answer: the answer would be: v=16t+H/t

Marge has saved $350 toward the cost of her vacation. The vacation will cost $1,750. What percent of the cost of the vacation has Marge saved?

Answers

350x5=1750
100/5=20
converts to 20%

Final answer:

Marge has saved 20% of the total cost of her vacation.

Explanation:

Marge's vacation savings can be calculated as a percentage of the total cost, using the formula: (Amount Saved / Total Cost) * 100. In this case, with a total vacation cost of $1,750 and Marge having saved $350, the calculation is ($350 / $1,750) * 100. When computed, it reveals that Marge has successfully saved 20% of the total vacation expense. This means that she has allocated a fifth of the overall cost, demonstrating a commendable financial preparation for her upcoming getaway. Such conscientious savings practices contribute to a more relaxed and enjoyable vacation experience, as Marge has set aside a significant portion of the required funds.

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If one jar of glue weighs 1/12 pound, how many jars can Rickie getfrom 2/3 pound if glue?

Answers

Answer: 8


Step-by-step explanation:

2/3 divided by 1/12

2/3 * 12/1

24/3=8

hope i helped angel!



Answer:

I think it would be 8

Step-by-step explanation:

Divide 2/3 by 1/12.

(2/3) / (1/12) = 2/3 * 12/1 = 24/3 = 8

The three sides of a triangle are tangent to a unique circle called the incircle. On the coordinate plane, the incircle of ABC has its center at the origin. The lines whose equations are x+4y=6s(qrt17), 2x+(sqrt5)y=-18, and 2(sqrt2)x=y+18 contain the sides of ABC. What is the length of the radius of the incircle?sqrt= square root

A. 2 units
B. 3 units
C. 6 units
D. 8 units

Answers

We are looking for the length of a radius.

If we can find the coordinates of the two endpoints of a radius, then we can find its length.


A tangent to a circle intersects the circle at a single point.

A radius of the circle drawn to the point of tangency is perpendicular to the tangent.

We know the center of the circle is the origin. That means we know one endpoint of every radius.

We use one side of the triangle which is given as an equation.

We find its slope. Then using that slope and the coordinates of the origin,

we can find the equation of the radius that is perpendicular to that side.

We then solve the equations simultaneously to find the coordinates of the point of tangency. The point of tangency is the other endpopint of the radius.

Knowing two endpoints of a radius, we can find its length. That will give us the answer since we are looking for the length of the radius.


Let's use the first given equation.

Find its slope.


x + 4y = 6 √(17)


4y = -x + 6 √(17)


y = -(1)/(4)x + (3√(17))/(2)


The slope of the side of the triangle is -1/4.

The slope of the radius perpendicular to that side is 4.


The equation of the line that contains the radius is


y - y_1 = m(x - x_1)


We are told the circle is centered at the origin, so one point on the line containing the radius is (0, 0).


y - 0 = 4(x - 0)


y = 4x


The line containing the radius is y = 4x.


Now we use the equation of the line containing the side of the triangle and the equation of the line containing the radius as a system of equations to find their point of intersection. That point is the other endpoint of the radius.


x + 4y = 6 √(17)

y = 4x


Multiply the first equation by 4 and subtract the x-term from both sides.


16y = -4x + 24 √(17)

y = 4x


Add the equations and solve for y.


17y = 24 √(17)


y = (24 √(17))/(17) = (24)/(√(17))


Now replace y with the value we found, and solve for x in the second equation.


(24 √(17))/(17) = 4x


(6 √(17))/(17) = x


x = (6 √(17))/(17) = (6)/(√(17))


The coordinates of the point of intersection are


((6)/(√(17)), (24)/(√(17)))


This point of intersection is one endpoint of the radius.

The other endpoint of the radius is the origin.


Now we need to find the the length of the radius.


r = √((x_2  - x_1)^2 + (y_2 - y_1)^2)


r = \sqrt{((6)/(√(17)) - 0)^2 + ((24)/(√(17)) - 0)^2}


r = \sqrt{(36)/(17) + (576)/(17)}


r = \sqrt{(612)/(17)}


r = √(36)


r = 6


Answer: The radius is 6 units long, choice C.

Answer:

c

Step-by-step explanation:

edge21

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?

A)3 in2
B)6 in2
C)12 in2
D)196 in2

Answers

A central angle : π / 6 = 30 °
30 ° = 360 ° / 12
The area of the sector is 1/12 of the area of a circle.
Therefore area of the sector is:
A = 36 π / 12 = 3 π
Answer: A ) 3 π in²

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Area of a circle = 36π in²

As we know the formula for "Area of circle ":

Area=\pi r^2\n\n36\pi=\pi r^2

Now, we need to calculate the area of sector.

As we know the formula for "Area of sector":

Area\ of\ sector=(\theta)/(360\textdegree)\pi r^2\n\nArea\ of\ sector=(30)/(360)* 36\pi \n\nArea\ of\ sector=(1)/(12)* 36\pi\n\nArea\ of\ sector=3\pi\ in^2

Hence, Option 'A' is correct.