<h2>
Answer: <u>
18</u></h2>
Given: the number is less than 20; three-factor pairs; each factor pair individually adds up to 19, 11, and 9
Solve for her number.
Step-by-step explanation:
If you think about it for a little bit, you will eventually find that 18 + 1 = 19 and 18 × 1 = 18 which is less than 20.
Then we know 18 has 2 more factor pairs : 9 × 2 and 6 × 3 which add up to 11 and 9.
Therefore our answer is: 18
18 × 1
9 × 2
6 × 3
The trick is to pick the largest sum of one-factor pair (19 in this question) and then choose the number below it.
Answer:
AC = 5.03
Step-by-step explanation:
tan theta = opposite / adjacent
tan 40 = x /6
Multiply each side by 6
6 tan 40 = x/6 *6
6 tan 40 = x
5.034597787 = x
AC = 5.03 to the nearest hundredth
Answer:
Restate the question
Step-by-step explanation:
Answer:
10.5 denarii
Step-by-step explanation:
Step 1: Initially Doubled his money in Lucca and spent 12 denarii
Let's assume the initial money he had before he did anything with it is x,
meaning if he doubled it in Lucca he would have (2×x)=2x, he then spent 12 denarii meaning he was left with (2x-12) denarii.
Step 2: In Florence he doubled what was left on leaving Lucca and spent 12
This is expressed as 2(2x-12)-12=4x-24-12=4x-36
(4x-36) denarii is what remained after he left Florence to Pisa
Step 3: In Pisa he doubled what was left on leaving Florence and spent 12 denarii
This is expressed as 2(4x-36)-12=8x-72-12=8x-84
Step 4: After getting back home in Pisa he was left with nothing
This is expressed as; 8x-84=0, 8x=84
solving for x by dividing both sides of the equation by 8
8x/8=84/8
x=10.5 denarii