Answer:
Another way to name <UST is
<TSU
Step-by-step explanation:
Some expressions that are equivalent to this is: 1 - 1/5; 2 - 1 1/5; 3 - 2 1/5; etc.
Answer:
Andre.
Step-by-step explanation:
Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.
Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.
Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.
Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.
Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.
Hence, only Andre gives the correct expression. (Answer)
The correct representations of this solution are
- (d) A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
- (e) (3, ∞)
<h3>How to determine the solution set?</h3>
The inequality is given as:
6 + 2n > 12
The solution is given as:
n > 3
When the above inequality is represented as an interval, we have:
(3, ∞)
Also, the inequality symbol > is represented using an open circle.
This means that the number line would use an open circle and the arrow would point right
Hence, the correct representations of this solution are (d) and (e)
Read more about inequalities at:
brainly.com/question/25275758
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Answer:
40.5 centimeters.
Step-by-step explanation:
Given:
The width of the prism is 3 centimeters.
The width of the prism is 1/3 of its length.
The height of a rectangular prism is half its width.
To find:
<u>Volume of a rectangular prism = ?</u>
Solution:
Width of the prism = 3 cm
As given, height of a rectangular prism is half its width.
height of a rectangular prism = 
Similarly, as given, the width of the prism is 1/3 of its length.
Width of the prism = 

By multiplying both sides by 3

Thus, length of prism = 9 cm
Now, as we know:


Therefore, the volume of a rectangular prism is 40.5 centimeters.