All categories

2 years ago

Solve for x: 5x + one third(3x + 6) > 14

Mathematics

2 answers:

alekssr [168]2 years ago

5 0

Answer:

The correct option is B) x > 2.

Step-by-step explanation:

Consider the provided inequality.

$5x+\frac{1}{3}(3x+6)>14$

Distributive property:

$a(b+c)=ab+ac$

By the distributive property.

$5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14\\5x+x+2>14$

Add the like terms

$6x+2>14$

Subtract 2 from both sides.

$6x+2-2>14-2\\6x>12$

Divide both sides by 6.

$\frac{6x}{6}>\frac{12}{6}\\x>2$

Hence, the correct option is B) x > 2.

MA_775_DIABLO [31]2 years ago

4 0

Answer:

It should be x > 2

Step-by-step explanation:

You might be interested in

Helppppppppppppppppppppp

melisa1 [442]

Answer is 34 ft squared

3 0

2 years ago

Assessment items Which expression shows the result of applying the distributive property to 9(2+5m) ?

Aleksandr-060686 [28]

The distributive property....ur basically multiplying the number outside of the parenthesis by everything in the parenthesis....to get rid of the parenthesis.

9(2 + 5m) = (9 * 2) + (9 * 5m) = 18 + 45m <==

6 0

2 years ago

Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea

asambeis [7]

Answer:

$n\geq 23$

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

$n\geq (\frac{z\sigma}{ME})^2$

Where:

$\sigma$ is the standard deviation
$ME$ is the desired margin of error.

We substitute our given values to calculate the sample size:

$n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23$

Hence, the smallest desired sample size is 23

3 0

2 years ago

A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?

Vilka [71]

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

$a^{2} +b^{2} =c^{2}$

since we know a and b are the same length (sides of a square are congruent) we would have

$a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}$

We know that c is 14 so

$2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999$

5 0

2 years ago

Find the slope and the y-intercept of the line in the graph.

Radda [10]

The slope is 2. The y-intercept is 4.

Explanation:

The line constantly goes up to units for every unit that it goes to the right. The y intercept is 4 because it is 4 on the y-axis when x is 0.

8 0

2 years ago

Read 2 more answers