Equation is a combination between two or more variables which is usually expressed in equal to form. Equation of two variable looks like ax +by=c. It is solved to find the quantity of x.

Given equation is as under:

0.2x+0.2+0.5x=-0.3x+1.2

It is a linear equation and will have only 1 solution. Linear equation is a equation which is having a straight line graph.

Adding the coefficients of variable

0.7x+0.2=-0.3x+1.2

Take -0.3 to other side

0.7x+0.3x=1.2-0.2

Adding the coefficients of variables

x=1

Hence the value of x in the equation 0.2x+0.2+0.5x=-0.3x+1.2 is x=1.

Learn more about equation at brainly.com/question/2972832

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8 0

2 years ago

Simplify the expression so there is only one positive power for each base.

katen-ka-za [31]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

$(5^{-2}\times 4^{-4})^{-2}$

Since $x^{-1}=\frac{1}{x}$ and $\frac{1}{x^{-1}}=x$

$5^{2}=\frac{1}{5^{-2}}$

$4^{2}=\frac{1}{4^{-2}}$

Therefore, $(5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}$

$=\frac{1}{(5^{-2})^2\times (4^{-4})^2}$

$=\frac{1}{5^{-4}\times 4^{-8}}$

$=\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}$

$=5^{4}\times 4^{8}$

Option (A) will be the answer.

8 0

3 years ago

Blueberries cost $4 per pound for each question explain how you show your reasoning music table to help you organize information

aleksley [76]

Answer:

1. Either none (if you have to buy a whole pound), or 1/4 of a pound

2. 3 whole pounds or 3 and 1/4 pounds

Step-by-step explanation:

If $4 = 1 pound, then we know that $1 (which is 1/4 of $4), will let you by 1/4 pound of blueberries. Knowing this, we can simply:

Add up the one fourths

do 1/4 times $$

See how many times 4 goes into the number of dollars you have

Please correct me if I'm wrong :)

5 0

3 years ago