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ludmilkaskok [199]
3 years ago
7

2" alt="4x+6over 7\ \textless \ 2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

Inequality form: x<2/7

Interval notation: (-infinity, 2/7)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Write Algebraically: Thirty less than negative fifteen times a number is greater than 54 more than negative three times a number
Yuri [45]

Answer

-15x - 30 > -3x + 54

Explanation

Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

Times a number means multiplying by a number. The number will be a variable. And in this case, the variable will be x.

Is greater than means more than.

Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

So let's write this.

So thirty less is minus 30. You are subtracting from "negative fifteen times a number."

Negative fifteen is -15... times a number is -15x.

So the left side of the inequality is -15x - 30.

The right side says this; "54 more than negative three times a number."

54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

Negative three is -3, times a number is -3x.

So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

6 0
3 years ago
12 things that has energy
Lapatulllka [165]

Answer: Kinetic Energy Potential Energy Chemical Energy Elastic Energy Gravitational Energy Magnetic Energy Nuclear Energy  Light Energy Radiant Energy Sound Energy Thermal Energy  Mechanical Energy Electrical Energy

Step-by-step explanation:

8 0
3 years ago
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7. A triangle has an area of 20 in². If the height of the
GenaCL600 [577]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

baseline × 5 / 2 = 20 in²

baseline × 5 = 40

baseline = 8 in

7 0
2 years ago
A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?​
a_sh-v [17]
The area of the parallelogram is 40 centimeters
5 0
3 years ago
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Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?
Bingel [31]

Answer:

8

Step-by-step explanation:

Length = 2x-4

Width = x+1

Let x=3 and find the length and width

Length = 2*3-4 = 6-4 =2

Width = x+1= 3+1 =4

The  area is given by

A = l*w = 2*4 = 8

7 0
2 years ago
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