Solve the inequality 6x − 8 > 4x + 26

Answers

Answer 1
Answer:

Answer:

The solution for the inequality is x>17

Step-by-step explanation:

Consider the provided inequality.

6x - 8 > 4x + 26

Subtract 4x to both the sides.

6x -4x- 8 > 4x-4x + 26

2x- 8 > 26

Add 8 to the both sides.

2x- 8+8 > 26+8

2x > 34

Divide both the sides by 2.

x > 17

Hence, the solution for the inequality is x>17

Answer 2
Answer:

Hi.

Answer:

\boxed{x>17}\checkmark

The answer should have positive sign but not negative.

Step-by-step explanation:

First, you add by 8 from both sides.

6x-8+8>4x+26+8

Then, simplify.

6x>4x+34

Next, you do is subtract by 4x from both sides.

6x-4x>4x+34-4x

Simplify.

2x>34

Therefore, you divide by 2 from both sides.

(2x)/(2)>(34)/(2)

Finally, you solve and simplify.

34/2=17

x=17\checkmark

X=17 is the correct answer.

Hope this helps you!

Have a nice day! :)


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How many millimeters are in a meter

Answers

There are 1,000 millimeters in a meter

Mario claims that a rhombus is sometimes a square, but a square is always a rhombus. Is he correct? Explain your answer.

Answers

That is correct.This is because a square has all the elements a rhombus has.A rhombus has 4 equal sides,just like a square does.And,a rhombus can't always be a square becase a square also contains 4 equal angles,while a rhombus doesn't.
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Solve for q

- 3/4q = 12

q = ___

Answers

\text{We know: } \n  \boxed{(\ -3\ )/(\ 4\ )*q=12 } \n \n  q=12: (\ -3\ )/(\ 4\ ) \n \n q=12* (\ 4\ )/(\ -3\ ) \n \n q= \frac{\ 48\ }  {\ -3\ }  \n \n q=-16 \n ********** \n \n \text{Check:}\n  \n \boxed{ (-3)/(4)*-16=12 } \n \n  (48)/(4) =12 \ TRUE
(-3)/(4q)=12
Multiply by q to eliminate var in denominator 
( \not q*(3))/(4 \not q) =q*12
q= (-3)/(4) =q*12
Common denominator is 4
( \not 4(-3))/( \not 4) =4q*12
-3=4q*12
-3=48q
Divide  by 48
q=( \not 3)/( \not 4 \not 8)
q=-16
The answer is: q=-16 

Sally is trying to decide what to wear to school. She has 5 pairs of pants, 10 shirts, and 3 pairs of shoes. Assuming everything matches, how many outfits can she make? A) 50
B) 150
C) 300

Answers

Answer:

B

Step-by-step explanation:

5x10x3=150

150=B)

An equilateral triangle has a perimeter of 78 cm.If the height of the triangle is 15.5 cm, what is the area of the triangle?

Answers

Answer:

The area of the triangle is : 201.5 cm ²

Step-by-step explanation:

All the sides of an equilateral triangle are equal. A triangle has 3 sides. If the perimeter is 78cm, 78 cm needs to be divided by 3 so find each side of the triangle.

78÷3=26

In order to find the area of a triangle, you need to multiply the base by the height and divide the product by 2.

26×15.5=403

403÷2= 201.5

So therefore, The area of the triangle is : 201.5 cm ²

The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below: 3|x − 8| + 15 = 18 What are the minimum and maximum temperatures for this day?

Answers

3|x − 8| =18 - 15 = 3
|x − 8| = 3/3 = 1
x − 8 = \pm1
x = \pm1 + 8
x = 1 + 8 or x = -1 + 8
x = 9 or x = 7
i.e. minimum temperature is 7 while the maximum temperature is 9