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2 years ago

Is 8/12 greater than 10/15? and how do you know?

Mathematics

2 answers:

valentina_108 [34]2 years ago

8 0

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

first find the least common denominator

that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

VARVARA [1.3K]2 years ago

8 0

8/12 is .6667, and 10/15 is also .6667. They are the same decimals, which means they are the same value. To answer your question, No, 8/12 is not greater than 10/15, they are exactly the same

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between

Montano1993 [528]

Answer:

C. 60 ft

Step-by-step explanation:

If triangles ABC and EDC are in a 1:1 relation, they are congruent, and

AC = EC

5x - 5 = 3x + 9

5x = 3x + 14

2x = 14

x = 7

AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft

EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft

Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft

5 0

3 years ago

Read 2 more answers

Can someone answer this please and please answer it correctly please show work I need it today

Lostsunrise [7]

Answer: 45

Step-by-step explanation:

Total number of 8th graders that signed up = 30

9 dropped out. So the total number 8th graders on board the game

= 30 - 9 = 21

46 2/3 % of the club are 8th graders i.e 21

Let T be the total number of students in the club

46 2/3 % T = 21

(140/3)% T = 21

(140/300)T = 21

T = (21x300)/140 = 45

Therefore, there are 45 students on the club

3 0

3 years ago

Halp?

____ [38]

The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where l = length, w = width, and h = height.

First, substitute the known values into the equation:

l = 8.5

w = 6

h = 10.5

V = (8.5)(6)(10.5)

(Note: .5 = 1/2)

Now, all we need to do is simplify:

V = 535.5 ft³ OR 535 1/2 ft³

(Note: ft³ is the condensed form of cubic feet)

You can pick whichever form your test directs you to use. They are both the same value though.

Hope this helps!

7 0

2 years ago

three baskets contain 8, 8 and 11 soaps. can the soaps be rearranged so that there is an equal whole number of soaps in each bas

Doss [256]

Yes because 8+8+11=27 and 27÷3=9

6 0

2 years ago