Sasha is studying a type of coral that grows at a constant rate. Every month, she visits two pieces of the coral and measures their heights. She made this table:
Month; 1 2 3
Piece A's height (cm) 24 26 28
Piece B's height (cm) 27 29 31
When Piece A's height is 49cm, what will Piece B's height be?
We notice that Piece A's height increases by 2 cm every month, while Piece B's height increases by 2 cm every month as well. Therefore, the difference between their heights remains constant at 3 cm (Piece B is always 3 cm taller than Piece A).
To find out what Piece B's height will be when Piece A is 49 cm, we need to find how many 2 cm increments it takes to get from Piece A's initial height of 24 cm to 49 cm.
49 - 24 = 25
So it takes 25/2 = 12.5 months to get from 24 cm to 49 cm. Since we're measuring in whole months, we know it will take 13 months.
Therefore, after 13 months, Piece A's height will be 49 cm and Piece B's height will be 49 + 3 = 52 cm.
Thanks for the answer...!
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Write an equation to represent the following statement.
j is 14 less than 22.
Solve for j.
The equation to represent the statement "j is 14 less than 22" is:
j = 22 - 14
To solve for j, we just need to simplify the expression on the right side:
j = 8
Therefore, j is equal to 8.
Ok!!.. thanks!!!
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Dominic is shopping at a store that is offering a discount of 15% off the usual price of any item.
1. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p.
2. How much discount does Dominic receive on an item whose usual price is £80?
1. The amount of discount offered (d) on an item whose usual price is p can be represented by the following equation:
d = 0.15p
2. To find how much discount Dominic receives on an item whose usual price is £80, we just need to substitute 80 for p in the equation from (1) and solve for d:
d = 0.15p
d = 0.15 x 80
d = 12
Therefore, Dominic receives a discount of £12 on an item whose usual price is £80.