What is the solution set of the inequality for 6x – 12 > 30?

Answers

Answer 1

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!


Related Questions

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

What is the average rates of change of f(x) = x2-5 over the interval [-2,0].

Answers

it’s going to be 4.

Help me solve this problem please

Answers

Answer:

-8

Step-by-step explanation:

[tex] \frac{8 - 2x}{12} = 2[/tex]

[tex]8 - 2x = 24[/tex]

[tex] - 2x = 16[/tex]

[tex]x = - 8[/tex]

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?

O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in​

Answers

2 in x 3 in; you divide 30 and 45 by 15 and get 2 and 3.

Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.

Answers

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.

Website A offers tickets to a local charity event for $7.50 each plus a $14.25 handling fee, while Website B offers the tickets for $8.50 plus a $3.25 handling fee. Which equation can be used to determine how many tickets need to be purchased in order for the cost to be the same?

Answers

Answer:

14.25+7.50x=3.25+8.50x

Step-by-step explanation:

From the information given, the equation that can be used to determine how many tickets need to be purchased in order for the cost to be the same would indicate that the price of purchasing tickets on website A would be equal to the price of purchasing tickets on website B, which is:

14.25+7.50x=3.25+8.50x, where x is the number of tickets purchased

14.25-3.25=8.50x-7.50x

11=x

x=11

A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?

Answers

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

.
The diameter of the handle of a softball bat is inches. What is the length in inches of the diameters of 8 if these bat handles?

Answers

The diameter of the handle of a softball bat is 1 ¾ inches.

Step-by-step explanation:

In the diagram, which angles from a linear pair ? Select 3 options

Answers

RST and RSV
RST and VSU
TSU and USV

Help me please I need to answer this

Answers

M= 3x and b=2 that’s the answer

if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.​

Answers

Answer:

≈ 92 kg

Step-by-step explanation:

Hi there !

w = m×g => m = w/g

g = 9.8m/s² = 9.8m·s⁻²

w = 900N = 900kg⋅m⋅s⁻²

m = 900kg⋅m⋅s⁻²/9.8m·

= 91.83 kg

≈ 92 kg

Good luck !

(1,9)
Write the interval as an inequality.

Answers

Answer:

1<x<9

Step-by-step explanation:

The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division ​

Answers

Addition



Reason: because

Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?

Answers

Answer:

Dog food will be enough for 8 days

Brainliest pls

Step-by-step explanation:

Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope

Answers

Answer:

no

Step-by-step explanation:

unu

Step-by-step explanation:

do you have the answer now I need it please

Solve the absolute value equation. |2x-31| = 17​

Answers

Answer:

x = 24                            x = 7

Step-by-step explanation:

|2x-31| = 17​

Absolute value equations have 2 solutions, one positive and one negative

2x-31 = 17   and 2x-31 = -17

Add 31 to each side

2x-31+31 = 17+31   and 2x-31+31 = -17+31

2x = 48                          2x = 14

Divide by 2

2x/2 = 48/2                 2x/2 = 14/2

x = 24                            x = 7

Answer:

24

To find:

x

Step-by-step explanation:

2x-31 = 17

2x=17+31

2x=48

x=48/2

x=24​

hope it helps you!

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.

Answers

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]

[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8​

Answers

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

The function g(x) is defined as shown.
What is the value of g(0)?

Answers

Plug it into the second one and you should get -1

the value of y varies directly with x. If x=13, ten y=65. What is the value of x when y=35?

Answers

Answer:

x=7

Step-by-step explanation:

direct variation is in the form y=kx

65 = k 13

by dividing both sides be 13, we see that 5 = k

thus, we can then take the next situation 35 = 5x

dividing both sides by 5 brings us to 7 = x

What is the domain for a continuous function

Answers

Answer: the third one

Step-by-step explanation: C

C. All real Values of x except x=_3
Hope this helps :)

A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.

Answers

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

Eight less a number is less than or equal to seventeen. I want the solution to be simplified and I want x with my answer.

Answers

Answer:

x-8≤17

x ≤ 25

Step-by-step explanation:

Three friends order a pizza. Danny eats 1/2 of the pizza, Mike eats 1/3 of the pizza, and Chris eats 1/6 of the pizza. The next day they order a pizza and Danny eats 1/8, Mike eats 1/2, and Chris eats 3/8. Who ate the most pizza over the two days?

Answers

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles

Answers

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

Перечислите все целые числа, расположенные между числами –6,6 и –1,2.


Answers

Answer:

-6, -5, -4,-3,-2

Step-by-step explanation:

Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:

-6,-5,-4,-3,-2

CAN SOMEONE HELP ME PLEASE AND THANK YOU?!

Answers

Answer:

AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.

What am I supposed to do?

Answers

Answer:

28

Step-by-step explanation:

ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28

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