Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
Answer:
25
Step-by-step explanation:
so you can use proportions for this. Since 17 small planters can be made in 5 days you would put 5 Days under 17 SP (Sp = small planters) Then you would do 17 times x which equals 17x and 5 times 50 which equals 250. you would then divide them by each other . 250 divided by 17 is a bunch of numbers but to shorten it you can just put 14.705 or 15 if you round it.
17sp 50
----------------- 250/17 = x =14.705
5D x
you would then do the same to the other Large planters.
12LP 24. 120/12 = x = 10
-------------
5D. x
the question is how many days to make them ALL. so you would then add 10 + 14.705 which equals 24.705. then you can round that to 25 DAYS.
If you take 230 subtract from 180 you will get 50 so the price for adult tickets are $50
