<u>Answer:</u>
2
<u>Step-by-step explanation:</u>
• Multiplying two numbers with same bases is the same as adding their powers:
∴ 
⇒ 
⇒ 
• Dividing two numbers with same bases is the same as subtracting their powers:
∴
⇒ 
⇒ 
⇒ 
• Raising anything to the power of 
is the same as square-rooting it:
∴
⇒ 
⇒ 2
Answer: The answer is (a) 3 × x = y and (b) x + x + x = y.
Step-by-step explanation: Let 'x' and 'y' denote the number of hours that Tina practised last month and this month respectively.
Then, according to the given information, we have
x = 15 and y = 45.
We can write the relation between 'x' and 'y' in two forms as follows -
(a) Multiplication form : 3 × 5 = 15 implies 3 × x = y.
(b) Addition form : 15 +15 +15 = 45 implies x + x + x = y.
Thus, the answers are (3 × x = y) and (x + x + x = y).
Answer:
V =972 pi mm ^3
Step-by-step explanation:
The diameter is 18 so the radius is 1/2 of the diameter
18/2 = 9
r=9
The volume of a cylinder is
V = pi r^2 h
V = pi (9)^2 12
V =972 pi mm ^3
Answer:
Step-by-step explanation:
3/4- 1/28
3(7)/4(7)= 21/28-1/28
=20/28
=5/4
A) A rational number that is between 9.5 and 9.7 could be 9.6 because it can be written as a fraction (in this case 9 6/10 or 9 3/5)
B) An irrational number could be the square root of 91 because it's value cannot be written as a fraction, as with all other square roots of non-perfect squares. sqrt(91) is about 9.54 rounded to the nearest hundredth.
Hope this helped!
