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4 years ago

Is the simplified form of 2square root of 3 ⋅ square root of 12 rational?

Mathematics

1 answer:

viva [34]4 years ago

6 0

No

it is not rational

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The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

3 years ago

To make his famous chocolate cake, a baker uses chocolate that is 75% cocoa.

Masja [62]

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

<h3>Equation </h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 90% chocolate. Using equation:

100 * 70% + x * 90% = (x + 100) * 75%

100 * 0.7 + 0.9 * x = (x + 100) * 0.75

70 + 0.9x = 0.75x + 75

x = 100/3

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

Find out more on Equation at: brainly.com/question/22688504

8 0

3 years ago

How many cups are in a 16 gallon

satela [25.4K]

1g=16c
16g=X
X=256
I really hope that helped

5 0

3 years ago

Read 2 more answers

Find the circumference of a circle with a radius of 10 m. C = 2πr, where d=diameter and C = circumference. Use pi = 3.14.

Tju [1.3M]

Answer:

3.14×20

20=diameter

=62.8cm

4 0

3 years ago

IM DESPERATE ANSWER PLEASE

klemol [59]

1. <4,-7>

2. <6,1>

3. <-6,-1>

if I'm not mistaken

3 0

3 years ago