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4 years ago

How do you write 140% as a fraction?

Mathematics

2 answers:

riadik2000 [5.3K]4 years ago

8 0

% means out of a hundred. So, 140% should be 140/100.

blondinia [14]4 years ago

7 0

For any % as fractions, just put the number over 100 because to be a "whole" you have to be 100%. so its 140/100 ;)

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4vir4ik [10]

Answer to the equation

5

7 0

3 years ago

How do you solve this system of linear equation by substitution x-3y=-12 y=2x+9

Ainat [17]

Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get: x-3(2x+9)=-12
Now, distribute: x-6x-27=-12
Add like terms: -5x-27=-12
Add 27 to both sides: -5x=15
Divide both sides by -5: x=-3

Now, substitute this value of x into the equation to find y: y=2(-3)+9
Multiply: y=-6+9
Add: y=3

Here is the solution: (x,y)=(-3,3)

Hope this explanation helped!

6 0

3 years ago

The ubiquitous 12oz aluminum cans used to distribute drinks in this country have a diameter of approximately 2.75 inches and a h

gayaneshka [121]

Answer:

3.5%

Step-by-step explanation:

The volume of a cylinder = $\pi r^2h$

r = radius of cylinder,

h = height of cylinder

For the non-optimal can,

r = 2.75/2 = 1.375

h = 5.0

$V = \pi(1.375^2)\times 5.0 = 9.453125\pi$

For the optimal can,

d/h = 1,

d = h

2r = h

r = h/2

$V = \pi\left(\dfrac{h}{2}\right)^2\times h = \pi\left(\dfrac{h^3}{4}\right)$

They have the same volume.

$\pi\dfrac{h^3}{4} = 9.453125\pi$

$h^3 = 37.8125$

$h=3.36$ (This is the height of the optimal can)

$r = \dfrac{3.36}{2} = 1.68$ (This is the radius of the optimal can)

The area of a cylinder is

$A = 2\pi r(r+h)$

For the non-optimal can,

$A = 2\pi\times\dfrac{2.75}{2}\left(\dfrac{2.75}{2}+5.0\right) = 17.53125\pi$

For the optimal can,

$A = 2\pi\times1.68\left(1.68+3.36\right) = 16.9344\pi$

Amount of aluminum saved, as a percentage of the amount used to make the optimal cans = $\dfrac{17.53125\pi - 16.9344\pi}{16.9344\pi}\times 100\% = 3.5\%$

5 0

4 years ago

Jaydas house is located at (1,5). She can walk in a straight line to get to Christians house. A fast food restaurant is located

steposvetlana [31]

Answer:

C. (9,1)

Step-by-step explanation:

Let the coordinated of Jaydas House be:

A(x_1, y_1) = (1,5)

The coordinates of Christian's House be:

B( x_2, y_2)

Let the restaurant be

M(x_M, y_M) = (7,2)

The ratio is 3:1

m=3 and n=1

So by the formula of finding the point that divides lines into given ratios

$x_M = \frac{nx_1+mx_2}{m+n}\\7 = \frac{(1)(1)+(3)x_2}{3+1}\\7 = \frac{1+3x_2}{4}\\7*4 = 1 + 3x_2\\28-1=3x_2\\27=3x_2\\x_2 = \frac{27}{3}\\x_2 = 9\\y_M = \frac{ny_1+my_2}{m+n}\\2 = \frac{(1)(5)+(3)y_2}{3+1}\\2 = \frac{5+3y_2}{4}\\2*4 = 5 + 3y_2\\8=5+3y_2\\8-5=3y_2\\3=3y_2\\y_2 = \frac{3}{3}\\y_2 = 1$

Therefore the coordinates of Christian's house are (9,1)

Option C is correct ..

7 0

3 years ago

24 = m – 15 what is m?

podryga [215]

Answer:

39 = m

Step-by-step explanation:

24 = m – 15

Add 15 to each side

24+15 = m – 15+15

39 = m

3 0

3 years ago