The ratio of length to width is 9:11 is to 9 as x is to 40.41/9 = x/40.4 x = 40.4/9 = 4.48888.. meters
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
Answer
Given,
Period of the Pendulum, T= 1 s
acceleration due to gravity, g = 9.8 m/s²
Length of Bob = 0.2482 m
Loss of time in the clock = 1.5 minutes/ day
Loss of time in 1 oscillation
= 
= 0.001042
Hence, time period, T = 1 + 0.001042
T = 1.001042 s
a) Using Time period of oscillation formula



Free fall acceleration at the clock location = 9.77 m/s²
b) Length of pendulum bob to keep it perfect time



Hence, Length of pendulum bob is equal to 0.2475 m.
Answer:
$19.25 for 7 bags of popcorn
Step-by-step explanation:
(X+3)(y-2)
F(x-3)-2
This cheat sheet may help