Answer:
Julian has <em>16 dimes</em> and <em>6 quarters</em>
Step-by-step explanation:
Let's suppose Julian has q quarters and d dimes
The total coins are 22, that is
q+d=22
q=22-d [1]
The total amount of money he has is 310 cents which are made of 10d dimes and 25q quarters
10d+25q=310
Simplifying by 5
2d+5q=62
Using the relation [1]
2d+5(22-d)=62
2d+110-5d=62
3d=48 => d=16
q=22-16 = 6
So Julian has 16 dimes and 6 quarters
Answer:97.1
Step-by-step explanation:
Answer:
The slope is -1/1 or just -1.
(When you need to plot the slope, you use -1/1 to use the strategy Rise/Run or Rise over Run.
If you look at the point (-3,1) From that point, you go down -1 and you run to the side for a positive 1.
Once you do that you'll land at (-2,0) and you can keep on repeating this and you'll see that it lands on the points on the line.
Hope this helps! Please feel free to ask any questions if needed! :)
Answer
x=33
Step-by-step explanation:
since they're both on the same line we must equal them to 180.
18 + x + 4x -3 = 180 (Now you simplify terms)
5x + 15 = 180 (Subtract the 15 from both sides)
5x = 165 (divide by 5 to isolate the variable)
x = 33 (Hope I was able to help :) )
Answer: b. 8.56 to 21.44
Step-by-step explanation:
Let 
be the mean number of pushups that can be done.
As per given , we have
Sample size : n= 10
Degree of freedom = n-1=9
Sample mean : 
Sample standard deviation : 
Significance level : α=1-0.95=0.05
From t- distribution table ,
Critical two -tailed t-value for α=0.05 and df = 9 is
Confidence interval for is given by :-
Hence, the 95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.
