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3 years ago

Solve the inequality: 14.3 > 5(z- 2) - 2.1

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer:

z < 5.28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

14.3 > 5(z - 2) - 2.1

Step 2: Solve for z

Distribute 5: 14.3 > 5z - 10 - 2.1
Subtract: 14.3 > 5z - 12.1
Add 12.1 on both sides: 26.4 > 5z
Divide 5 on both sides: 5.28 > z
Rewrite: z < 5.28

Here we see that any value z smaller than 5.28 would work as a solution to the inequality.

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Write a real-world problem that could be represented by the inequality. 3x + 6 > 27

Ilya [14]

Answer:

1.The sum of thrice a certain number and six is greater than twenty seven.

2. Three times a certain number added to six the result is greater than twenty seven.

Step-by-step explanation:

The inequality whose word problem to be written is 3x + 6 > 27

Let x be a certain number.

So, we can write the following as the word problem of the inequality :

1.The sum of thrice a certain number and six is greater than twenty seven.

2. Three times a certain number added to six the result is greater than twenty seven.

6 0

3 years ago

Please I need help on this ! If anyone can that would be great!! <3

mr_godi [17]

Answer:

Step-by-step explanation:

(A)The given equations are:

$x-y=3$ and $x+y=3$

Taking the ordered pair (3,0),

$3-0=3$ and $3+0=3$ which is satisfied. Thus, option A (3,0) is correct.

(B) The two equations are:

$x-y=3$ and $x+y=3$

Adding both the equations, we get

$2x=6$

$x=3$

Therefore, substituting the value of x in any of the two given equations,

$3-y=3$

$y=6$

Hence, x=3 and y=6

Then, According to the question, we get

$b=c-5$ and $b+c=185$

Thus, Option B is correct.

(D) The given equations are:

$x+y=6$ and $x=y+5$

Now, substituting the value of x=y+5 in the equation $x+y=6$ , we get

$(y+5)+y=6$

Thus, option C is correct.

8 0

4 years ago

2,3444.998 divided by 2,5666.885

Sophie [7]

Answer:

0.913433710401 if that way and 1.094770193625 with the 2 numbers swapped

3 0

4 years ago

Y= kx+m Make x the subject

Ilia_Sergeevich [38]

Kx=y-m
x=(y-m)/k
Note that this is also standard linear form, x=y/k-m/k where slope=1/k and x intercept is -m/k.

7 0

3 years ago

Estimate the product. 627x 3.73

Fittoniya [83]

2,520

Estimate 627 to 630

3.73's closest estimate is 4

So, 630*4=2,520

4 0

3 years ago