Is 3/8 equivalent to 2/6

Answers

Answer 1

Answer: no 3/8 is not equivalent to 2/6

Answer 2

Answer: No since if you cross multiply you get 6 and 48.

x = 4, y = -2, z = 3

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n$

$\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}$

-4x -30 < -6
X > -6
X > 9
X < 9
X < -6

Answers

Answer:X <9

Step-by-step explanation:

In one grade of 150 students, the ratio of boys to girls is 2:3. How many boys are in that grade?

Answers

Answer:

The numbers of boys in one grade are 60 .

Step-by-step explanation:

As given

In one grade of 150 students .

The ratio of boys to girls is 2:3.

Let us assume that the scalar multiple of boys and girls be x.

Thus number of boys = 2x

Number of girls = 3x

Than the equations becomes

2x + 3x = 150

5x = 150

$x = (150)/(5)$

x = 30

Thus number of boys = 2 × 30

= 60

Therefore the numbers of boys in one grade are 60 .

2+3 = 5

150/5 = 30

30*2 = 60

There are 60 boys in that grade.

Which list contains only rational numbers?

Answers

I’m thinking the Answer is A

Write this expression in words 8+16=24

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The sum of eight and sixteen is equal to twenty-four

Is the proper way to word the expression

eight plus sixteen is equal to 24

Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? OPTIONS : 3 , 5, 2 , or 4Just stuck on this one question.

Answers

Answer:

Step-by-step explanation:

It sounds like we are pretending A is the universe. The only numbers in our world are 1,2,3,4, and 5.

You are given B is all numbers greater than 2.

The complement of B would all the elements not listed in B.

The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.

The elements not in B are 1 and 2.

So B complement is {1,2}.

There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.

There are 2 items in the complement of set B. The correct answer is:2

The complement of set B, denoted as B', contains all the elements that are NOT in set B.

Set B consists of all numbers greater than 2.

Therefore, the elements in B' will be all the numbers that are NOT greater than 2, which means all numbers less than or equal to 2.

Set B' = {1, 2}

So, there are 2 items in the complement of set B.

The correct answer is:2

for such more question on complement

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Is 3/8 equivalent to 2/6

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