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3 years ago

The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

or,x=9÷6

Therefore, x=3÷2

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n a 12 ounce bag of trail mix you notice that there are 18 M&Ms. You now purchase a 20 ounce bag of trail mix. How many M&am

Maslowich

30 M&Ms

1) Gathering the data

12-ounce bag of trail mix = 18 M&Ms

20-ounce bag=?

2) Assuming that the M&Ms are placed in following a constant rate we can write the following proportion:

12 --------------- 18

20 --------------- y

Cross multiplying it due to the first property of proportions

12y =20 x 18

12y = 360

y=30

3) So, I'd expect to find 30 M&Ms at a 20-ounce bag of trail mix.

6 0

1 year ago

Can someone help me with this ASAP please I’m being timed !

viva [34]

Answer:

%65

Step-by-step explanation:

7 0

3 years ago

2 tan 30° II 1 + tan- 300

shusha [124]

Question:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Answer:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

Step-by-step explanation:

Given

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Required

Simplify

In trigonometry:

$tan(30^{\circ}) = \frac{1}{\sqrt{3}}$

So, the expression becomes:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}$

Simplify the denominator

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}$

Express the fraction as:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} / \frac{4}{3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} * \frac{3}{4}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{1}{\sqrt 3} * \frac{3}{2}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3}$

Rationalize

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3\sqrt{3}}{2* 3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\sqrt{3}}{2}$

In trigonometry:

$sin(60^{\circ}) = \frac{\sqrt{3}}{2}$

Hence:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

3 0

3 years ago

Can someone explain step by step how to do this and how to get the numbers please? HELP HELP HELP!!

Alexxandr [17]

A = 113.1
so the formula for the area of a circle is
A = pi x r^2
-pi is 3.14(rounded)

-r stands for the radius of the circle which is half the diameter so for this circle your r or radius is 6 and the radius is just squared

so when you plug the numbers in the formula it is
A = 3.14 x 6^2(squared)

A = 3.14 x 36

A = 113.1

8 0

3 years ago

The diameter of Jupiter is 88,000 miles This is about 11.1 times the diameter of Earth What is the diameter of the earth

Vadim26 [7]

Assuming that Jupiter and Earth are similar
linear sale factor=(diameter of Jupiter) /(diameter of earth)=11
thus:
diameter of earth=(diameter of Jupiter)/(linear scale factor)
=88000/11
=8000 miles
The diameter of earth is 8000 miles

5 0

3 years ago

The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number​

The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number