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3 years ago

Solve for x: two thirds plus one third times x equals two times x

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

Answer: x = 2/5 in fraction form

In decimal form, the answer is x = 0.4

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Work Shown:

2/3 = two thirds

2/3 + (1/3)x = 2x is the equation you're given

Multiply every term by 3 so that we clear out the fractions

3*(2/3) + 3*(1/3)x = 3*2x

2 + x = 6x

From here, we solve for x

2 + x = 6x

2+x-x = 6x-x .... subtract x from both sides

2 = 5x

5x = 2

5x/5 = 2/5 ... divide both sides by 5

x = 2/5

x = 0.4

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Solve the systems of equation by substitution method.<br><br>2x+y=1<br>3x-y=4

SCORPION-xisa [38]

Answer:

x=1, y=-1. (1, -1).

Step-by-step explanation:

2x+y=1

3x-y=4

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

y=3x-4

2x+3x-4=1

5x-4=1

5x=1+4

5x=5

x=5/5

x=1

y=3(1)-4=3-4=-1

5 0

3 years ago

How do the values compare? Order the values from least to greatest

malfutka [58]

-2 1/4, -1 1/4, 3/4, |-1 1/4|, |-1 3/4|, |-2 1/4
hope it helps

8 0

3 years ago

A parallelogram has a perimeter of 42 meters. Two sides are each 19.8 meters long. What is the length of the other two sides?

ValentinkaMS [17]

We first add both 19.8 by 19.8 and therefore, that would give us 39.6.

42 - 39.6 = 2.4.

2.4 ÷ 2 = 1.2

1.2 would be the length of each sides.

3 0

3 years ago

Read 2 more answers

Choose whether it's always, sometimes, never

Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If $a\in Z\text{ and }b\in Z$ , then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

A polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

If a polynomial divided by a polynomial then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{f(x)}{g(x)}=x^2+5$ , which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{g(x)}{f(x)}=\frac{1}{x^2+5}$ , which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

As we know a polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0

3 years ago

Read 2 more answers

Consumer Math The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the pri

Natasha2012 [34]

Answer

Find out the what was the price of the stereo .

To prove

Let us assume that the price of the stereo be x .

As given

Consumer Math The sales tax in the town where Amanda lives is 7%.

7% is written in the decimal form

$= \frac{7}{100}$

= 0.07

As given

Amanda paid $35 in sales tax on a new stereo .

Than the equation becomes

x × 0.07 = 35

$x = \frac{35}{0.07}$

solving the above

x = $ 500

Therefore the price of the stereo is $ 500 .

Hence proved

5 0

3 years ago