6/15=2/c HOW TO SOLVE THIS PROBLEM

Answers

Answer 1

Answer: The answer is 5.
you can turn it into a fraction ratio (6 over 15 is equal to 2 over c) and then cross multiply

Answer 2

Answer: You would cross multiply, making an equation 6c=2(15). You simplify 6c=30, c=5

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What are the next four multiples of the fraction 2/6

Which inequality has no solution?6(x+2)> x-3

3+4x<2(1+2x)

-2(x+6)< x-20

x-9 < 3 (x-3)

Answers

we will proceed to solve all cases to determine the solution of the problem

case A) $6(x+2)> x-3$

Eliminate the parenthesis of the left side

$6x+12> x-3$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$6x-x> -3-12$

Combine like terms

$5x> -15$

$x> -3$

The solution is the interval--------> (-3,∞)

All real numbers greater than $-3$

therefore

The inequality A has solution

case B) $3+4x <2(1+2x)$

Eliminate the parenthesis of the right side

$3+4x <2+4x$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$4x-4x <2-3$

Combine like terms

$0 <-1$ ---------> is not true

therefore

The inequality B has no solution

case C) $-2(x+6)< x-20$

Eliminate the parenthesis of the left side

$-2x-12< x-20$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$-2x-x< -20+12$

Combine like terms

$-3x< -8$

Multiply by $-1$ both sides

$3x> 8$

$x> (8/3)$

The solution is the interval--------> (8/3,∞)

All real numbers greater than $8/3$

therefore

The inequality C has solution

case D) $x-9<3(x-3)$

Eliminate the parenthesis of the right side

$x-9<3x-9$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$x-3x< -9+9$

Combine like terms

$-2x< 0$

Multiply by $-1$ both sides

$2x> 0$

$x>0$

The solution is the interval--------> (0,∞)

All real numbers greater than $0$

therefore

The inequality D has solution

therefore

the answer is

$3+4x <2(1+2x)$

$\boxed{3 + 4x < 2\left( {1 + 2x} \right)}$ inequality has no solution. Option (b) is correct.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

The inequalities are as follows,

(a). $6\left( {x + 2} \right) > x - 3$

(b). $3 + 4x < 2\left( {1 + 2x} \right)$

(c). $- 2\left( {x + 6} \right) < x - 20$

(d). $x - 9 < 3\left( {x - 3} \right)$

Explanation:

Solve the inequality $6\left( {x + 2} \right) > x - 3$ to check whether the inequality has solution.

$\begin{aligned}6\left( {x + 2} \right) >& x - 3\n6x + 12 >& x - 3\n6x - x >& - 3 - 12\n 5x >&- 15\nx >& \frac{{ - 15}}{5}\nx >&- 3\n\end{aligned}$

Option (a) has solution.

Solve the inequality $3 + 4x < 2\left( {1 + 2x} \right)$ to check whether the inequality has solution.

$\begin{aligned}3+ 4x &< 2\left( {1 + 2x} \right)\n3 + 4x &< 2 + 4x\n3&< 2\n\end{aligned}$

Option (b) has no solution.

Solve the inequality $- 2\left( {x + 6} \right) < x - 20$ to check whether the inequality has solution.

$\begin{aligned}- 2\left( {x + 6}\right) &< x - 20\n- 2x - 12 &< x - 20\n- 12 + 20 &< x + 2x\n8&< 3x\n(8)/(3) &< x\n\end{aligned}$

Option (c) has solution.

Solve the inequality $x - 9 < 3\left( {x - 3} \right)$ to check whether the inequality has solution.

$\begin{aligned}x - 9&< 3\left( {x - 3} \right)\nx - 9&< 3x - 9\nx&< 3x \n1&< 3\n\end{aligned}$

Option (d) has solution.

$\boxed{3 + 4x < 2\left( {1 + 2x} \right)}$ inequality has no solution. Option (b) is correct.

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
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Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

How do I solve this inequality?

Answers

Answer:

x=1

Step-by-step explanation:

youll have to subtract 3 from 4

Hope that helped :)))

Convert to a percentage. .35
A.3.5%
B. .035%
C. .35%
D. 35%

Answers

the answer is thirty five percent D

d is the answer to this

Four hunndred seven trillion, nintey million seven hundred forty-two thousand seventy-two

Answers

Answer:470,000,90,742,72

Step-by-step explanation:

There are 4 quarts in 1 gallon. How many quarts are on 3 gallons?

Answers

Knowing that there are 4 quarts in one gallon, you can use this information to set up a proportion to find how many quarts are in 3 gallons. When you set up this proportion, you should get this where x is the amount of quarts:

4/1=x/3

Then, to solve for x, or your number of gallons, cross multiply:

1*x=4*3

When simplified, you should get that x=12, or that there are 12 quarts in 3 gallons :)

Final answer:

By multiplying the number of gallons by 4, we find that there are 12 quarts in 3 gallons.

Explanation:

The problem is asking how many quarts are in 3 gallons. Since there are 4 quarts in 1 gallon, you can simply multiply the number of gallons by 4 to find out how many quarts are in 3 gallons.

So, in calculation, 3 gallons * 4 quarts/gallon = 12 quarts. Therefore, there are 12 quarts in 3 gallons.

Learn more about Conversion here:

brainly.com/question/34235911

#SPJ2

Which of the following is the radical expression of a to the four ninths power ?

Answers

first if a>0 sqrta=a^(1/2), and (a^p)^q=a^pxq

sqrt(a^4/9)= (a^4/9)^1/2=a^4/9x1/2=a^(2/9)
so the answer is a^(2/9)

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