Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
Answer:
4x-15=y
Step-by-step explanation:
The higher the rise over the run the more steep your slope will be thus 4x is less steep than 8x because it does not rise as much.
The y intercept shifted downward means anything (-10>b) can be plausible for b.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is

Generally p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Answer:
y=-2
Step-by-step explanation:
you are solving for the variable y
add 3 to the opposite side, so it cancels out
y=-5+3
y=-2