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dezoksy [38]
3 years ago
9

What are the integer solutions to the inequality below? 3 ≤ 3 x − 4 ≤ 2 x + 1

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

x can be 3, 4, or 5

Step-by-step explanation:

Let's split the inequality and solve it piece by piece.

Case: 3

We add 4 to both sides to get 7.

We divide both sides by 3 to get 7/3.

So, x>=7/3.

Case: 3x-4

We subtract 2x from both sides to get x-4.

We add 4 to both sides to get x.

So, we want to find the integer solutions to 7/3.

7/3= 2 1/3, so x can be 3, 4, or 5.

So, x can be 3, 4, or 5 and we're done!

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How do the physical and chemical properties of the elements change?
My name is Ann [436]

Answer

Step-by-step explanation: within a group

4 0
3 years ago
Read 2 more answers
One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second
algol13

Answer:

Therefore the third container contains   \frac{735}{17}\% = 43.23 %  acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

= (V\times \frac{100+55}{100})   cubic unit.

=\frac{155}{100}V  cubic unit.

The amount of acid in first container is

=V\times \frac{25}{100}  cubic unit.

=\frac{25}{100}V  cubic unit.

The amount of acid in second container is

=(\frac{155}{100}V \times \frac{55}{100}) cubic unit.

=\frac{8525}{10000}V cubic unit.

Total amount of acid =(\frac{25}{100}V+\frac{8525}{10000}V) cubic unit.

                                   =(\frac{2500+8525}{10000}V) cubic unit.

                                   =(\frac{11025}{10000}V)cubic unit.

Total volume of mixture =(V+\frac{155}{100}V) cubic unit.

                                       =\frac{100+155}{100}V cubic unit.

                                       =\frac{255}{100}V  cubic unit.

The amount of acid in the mixture is

=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%

=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%

=\frac{735}{17}\%

Therefore the third container contains  \frac{735}{17}\%  acid.

5 0
3 years ago
How are angles named?
Mama L [17]

Answer:

Acute angle, right angle, obtuse angle and reflex angle.

Step-by-step explanation:

Acute angle -

0° < θ < 90°

Right angle -

θ = 90°

Obtuse angle -

90° < θ < 180°

Reflex angle -

θ > 180°

4 0
3 years ago
Please help i don't get it
Ivan
The perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer
3 0
3 years ago
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Help me plz i need help with this
kirill [66]

Answer:

The expression would be 4x + 12. The second part woud be 16x + 48.

Step-by-step explanation:

6 0
2 years ago
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