Answer: The tank holds 18 gallons of gasoline.
Step-by-step explanation:
Let x represent the number number of gallons of gasoline that the tank of Lydia's car hold.
Lydia gas tank was 3/4 full when she left on a trip. It means that the amount of gasoline in the tank was 3x/4 gallons.
She used 8 gallons of gasoline during her trip. The amount that would be left is
3x/4 - 8
Now, 5.5 gallons of gasoline remain in the gas tank. It means that
3x/4 - 8 = 5.5
Multiplying both sides of the equation by 4, it becomes
3x - 32 = 22
3x = 22 + 32
3x = 54
x = 54/3
x = 18
288+12=24
240÷10=24
the equivalent ratio would be 24:1. 24 miles for every gallon of fuel.
Answer:
27 and 23
Step-by-step explanation:
We can solve this problem as a system of equations. X is the first number and Y is the second number.
The first equation is x+y = 50 and the second equation is x-y=4
Now we solve the system, using elimination method:
x+y=50
x-y=4
2x = 54
x = 54/2
x = 27
And from any of the equations we can find Y
27 + y = 50
y = 50 - 27
y = 23
X = 72 because this is an isosceles triangle
Answer: 1.300228
Step-by-step explanation:
The t-score we use for the confidence interval is two-tailed , i.e. the t-score should be used to find a (
) is given by :-
, where n is the sample size.
Given : Level of confidence: 
Significance level : 
Sample size : n= 47
Then, degree of freedom : 
Now by using standard normal t-distribution table,
Hence, the t-score should be used to find a 80% confidence interval estimate for the population mean = 1.300228
