Answer:
The ratio of the number of Lisa’s stickers to the number of John’s stickers is 3/2
Step-by-step explanation:
Step 1
Let
x ----> the number of stickers that Lisa has
y ----> the number of stickers that John has
we know that
------> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
Find the value of x
-----> 
therefore
Lisa has 36 stickers and John has 24 stickers
Step 2
Find the ratio of the number of Lisa’s stickers to the number of John’s stickers
so
x/y
substitute
The original selling price is found by multiplying 100% by $10 and adding that to the original $10. The logo shirt goes on the sale floor for $20. Each of the next three months, the reduced price is found by multiplying the current sale price by 75%. The tax is found by multiplying 5% by the final discounted price and adding the tax to the final sale price.
Answer:
1 / 4 ton will cover 1 square yard
Step-by-step explanation:
(3 / 4) / 3 =
3 / 4 x 1 / 3 =
3 / 12 =
1/4 ton
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
