Answer:
425
Step-by-step explanation:
Stamps from Canada are: 55
But Scott has 315 more stamps from the u.S. Than from Canada, so his stamps from U.S are: 315 + 55 = 370
=> the total number of stamps he has in his collection
= Stamps from Canada + stamps from U.S
= 55 + 370
= 425
Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
lbvjy [14]
Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
__
This count includes the empty set and the full set.
Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .
<u>Step-by-step explanation:</u>
Here we have , Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales tax rate was 5%. We need to find Did Bruce have enough money to buy the game .Let's find out:
We have , Bruce saved $ 35.00 to buy a new video game . The game's original price was $ 42.00 , but it was on sale for 30% off. i.e.
Price = ![Original price - \frac{Original-price(30)}{100}](https://tex.z-dn.net/?f=Original%20price%20-%20%5Cfrac%7BOriginal-price%2830%29%7D%7B100%7D)
⇒ ![42-\frac{42(30)}{100}](https://tex.z-dn.net/?f=42-%5Cfrac%7B42%2830%29%7D%7B100%7D)
⇒ ![42-\frac{1260}{100}](https://tex.z-dn.net/?f=42-%5Cfrac%7B1260%7D%7B100%7D)
⇒ ![42-12.6](https://tex.z-dn.net/?f=42-12.6)
⇒ ![29.4](https://tex.z-dn.net/?f=29.4)
Now, The sales tax rate was 5%. So , total amount to be paid is :
⇒ ![29.4 + \frac{29.4(5)}{100}](https://tex.z-dn.net/?f=29.4%20%2B%20%5Cfrac%7B29.4%285%29%7D%7B100%7D)
⇒ ![29.40 +1.47](https://tex.z-dn.net/?f=29.40%20%2B1.47)
⇒ ![30.87](https://tex.z-dn.net/?f=30.87)
Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .
Answer:
There are 156 concrete blocks available to make a wall.
The bottom three rows will all have the same number of blocks.
The next six rows will each have two blocks fewer than the row below it.
Let there be x blocks in the first 3 rows.
As per the situation, the expression becomes:
![3x+x-2+x-4+x-6+x-8+x-10+x-12=156](https://tex.z-dn.net/?f=3x%2Bx-2%2Bx-4%2Bx-6%2Bx-8%2Bx-10%2Bx-12%3D156)
=> ![9x-42=156](https://tex.z-dn.net/?f=9x-42%3D156)
=> ![9x=156+42=198](https://tex.z-dn.net/?f=9x%3D156%2B42%3D198)
=>
x =22
So, there are 22 blocks in the first 3 rows.
And in each successive rows we have : 20,18,16,14,12 and 10
If we total all, we get 156.
![(22\times3)+20+18+16+14+12+10](https://tex.z-dn.net/?f=%2822%5Ctimes3%29%2B20%2B18%2B16%2B14%2B12%2B10)
![66+20+18+16+14+12+10=156](https://tex.z-dn.net/?f=66%2B20%2B18%2B16%2B14%2B12%2B10%3D156)
It’s 20
it’s ok we all forget lol