Answer:
378
Step-by-step explanation:
3*126
We can employ some logic to reduce the answers we need to test. We know that the slope perpendicular to line l has to have a negative reciprocal slope, so a slope of
. We see that in A and C, as x increases so does y. That means the slope of these equations are positive, which we don't want. Now for some algebra:
We se that D has the correct slope so that must be the answer.
Answer:
3/20 or 15%
Step-by-step explanation:
Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.
To find the probability you need to multiply the two probabilities together.
3/5 times 1/4 is 3/20.
So your answer is 3/20 or 15%.
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
<u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
<u>10% discount</u>: (1 -10%)·p = $72
p = $72/0.90 = $80
<u>25% discount</u>: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
<em>Additional comment</em>
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
- add back that 5% to the 5%-discounted price: $76 +4 = $80
- multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
