Answer: The first one. 2 to the 20th power over 3 to the 8th power
Step-by-step explanation:
8*.8=6.4
4x+6.4=40
40-6.4=33.6
33.6/4=x
8.4=x
Hope this helps :)
Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Answer: AC= 10 cm and CE= 5 cm
Step-by-step explanation:
In the given picture, Δ ADE is a right triangle
∴ By Pythagoras theorem,
Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,
Now, AE=AC+CE
⇒CE=AE-AC
⇒CE=15-10=5 cm
