Answer:
21
Step-by-step explanation:
Three raise to third power can be written as 
. In this three is the base which is raised to third power.
Next we need to subtract 6 from Three raise to third power(i.e from 27)
which can be written mathematically as
Hence 6 less than three raised to the third power is 21 as explained above.
The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.
So, 3 x 8 = 24.
Then, to find out how much he saves each day, you would find how much he used before,
11 x 8 = 88
Next we want to see how much Nathan saved, so we subtract the total,
88 - 24 = 64
Nathan saved 64 gallons.
Answer:
34 Braids
Step-by-step explanation:
.85 per braid means 1 is 85 cents, 2 is $1.70 and so on. So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55. in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.
Here though you first pay 3 dollars. so you need 3 first, then an extra 85 cents to get 1 braid. 2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.
So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85. for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40. now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4
The problem says we start with$32, so lets do those steps. first 32 - 3 = 29. then 29 divided by .85 = 34.11. well it's not whole number so lets try something. 34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75 So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids. well, $32 is in that in between space, so it is 34 braids.
When I did 32 - 3 = 29. then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear. so the answer is 34 braids.
Answer: 15
Step-by-step explanation:
45$ = 3 Tickets
45 / 3 = 1 Ticket
1 Ticket = 15
Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°
