8/200 as a decimals

SOLVE FOR X??? <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%2B2%20%3D%5Cfrac%7Bx%7D%7B4%7D%2B3" id="TexFor

natima [27]

Answer:

$\boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \: x = 12}}}}$

$\boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: \: x = 3}}}}$

Step-by-step explanation:

$\sf{1. \: \: \: \: \frac{x}{3} + 2 = \frac{x}{4} + 3}$

Move x / 4 to left hand side and change its sign

Similarly, move 2 to right hand side and change it's sign

$\longrightarrow{ \sf{ \frac{x}{3} - \frac{x}{4} = 3 - 2}}$

Take the L.C.M of 3 and 4

L.C.M of 3 and 4 = 12

$\longrightarrow{ \sf{ \frac{x \times 4 - x \times 3}{12} = 3 - 2}}$

$\longrightarrow{ \sf{ \frac{4x - 3x}{12} = 3 - 2}}$

$\longrightarrow{ \sf{ \frac{x}{12} = 3 - 2}}$

Subtract 2 from 3

$\longrightarrow{ \sf{ \frac{x}{12} = 1}}$

Do cross multiplication

$\longrightarrow{ \sf{x = 1 \times 12}}$

$\longrightarrow { \sf{x = 12}}$

--------------------------------------------------------------------

$\sf{2. \: \: \: \: 3(4 + 2x) = 33 - x }$

Distribute 3 through the parentheses

$\longrightarrow{ \sf{12 + 6x = 33 - x}}$

Move x to left hand side and change it's sign

Similarly, move 12 to right hand side and change it's sign

$\longrightarrow{ \sf{6x + x = 33 - 12}}$

Collect like terms

$\longrightarrow{ \sf{7x = 33 - 12}}$

Subtract 12 from 33

$\longrightarrow{ \sf{7x = 21}}$

Divide both sides by 7

$\longrightarrow{ \sf{ \frac{7x}{7} = \frac{21}{7} }}$

Calculate

$\longrightarrow{ \sf{x = 3}}$

Hope I helped!

Best regards! :D

4 0

3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Rufina [12.5K]

Answer:

$\displaystyle \boxed{2x^2 - x + 1}$

Step-by-step explanation:

Since the divisor of $\displaystyle x + 1$ is in the form of $\displaystyle x - c,$ use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−1| 2 1 0 1

↓ −2 1 −1

__________

2 −1 1 0 → $\displaystyle 2x^2 - x + 1$

You start by placing the c in the top left corner, then list all the coefficients of your dividend [2x³ + x² + 1]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than the leading coefficient of your dividend, so that 2 in your quotient can be a 2x², the −x follows right behind it, and bringing up the rear, 1, giving you the quotient of 2x² - x + 1.

I am joyous to assist you anytime.

7 0

3 years ago

How do you write 59/50 as a percent

Free_Kalibri [48]

Answer:118

Step-by-step explanation:

Convert from a fraction to percent. Here is the answer to the question: 59/50 as a percentage or how to convert the fraction 59/50 to percent. Use the fraction to percent calculator below to write any fraction as a percent.

Please, input values in this format: a b/c or b/c.

Examples: Three tenths should be typed as 3/10. One and one-half should be typed as 1 1/2. Note that there is a space between the the integer and the fraction.

6 0

3 years ago

Read 2 more answers

find the missing angle and side measures of the triangle. The triangle has one angle that measures 90 degrees, and the other two

Tamiku [17]

Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and $\sqrt{3}$ . Now lets apply the Pythagorean theorem: $hypotenuse= \sqrt{leg^{2}+leg^{2} }$ , to find our hypotenuse:
$h= \sqrt{1^{2}+ \sqrt{3}^{2} }$
$h= \sqrt{1+3}$
$h= \sqrt{4}$
$h=2$

Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call $x$ .
Remember that $sin(x)= \frac{opposite.side}{hypotenuse}$ , so:
$sin(x)= \frac{1}{2}$
$x=sin^{-1} ( \frac{1}{2} )$
$x=30$
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle $y$ :
$y=180-(90+30)$
$y=180-120$
$y=60$

We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.

5 0

3 years ago

You get a 180-day $3,000 consumer loan at 9% interest You are required to pay a $100 setup fee at the time you get the loan. Bas

Naya [18.7K]

The interest on the loan is
.. I = P*r*t = 3000*.09*180/365 = 133.15

Your effective rate is
.. r = I/(Pt) = (100 +133.15)/(3000*180/365) = 15.8%

6 0

3 years ago