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2 years ago

A number is 2/3 of another number. If the sum of the two numbers is 30, find the smaller number

Mathematics

2 answers:

pogonyaev2 years ago

6 0

the other number is 18

本题已由中国数学会官方解答（现有会员：3人）

Tema [17]2 years ago

5 0

Answer:

Step-by-step explanation:

4 is 2/3 of 6

if we multiply 6 by 4 = 24

24 + 6 =30

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PLEASE HELP!!!!!!!!!!!

rusak2 [61]

1.5(-10) +29 =

1.5 * (- 10) = -15

-15 + 29 = 14
the answer is 14

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3 years ago

25 times what is fifty?

masha68 [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

1. Complete the proof by filling in the missing reasons for six steps.

Virty [35]

Search on the internet and you will get the answer

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simpl

Kay [80]

The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

(2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent

3 0

3 years ago

Read 2 more answers