Solution:
we are given that
A student has some $1 and $5 bills in his wallet.
Let there x $1 bills and y number of $5 bills.
He has a total of 14 bills that are worth $34.
So we can write
![x+y=14](https://tex.z-dn.net/?f=x%2By%3D14)
![x+5y=34](https://tex.z-dn.net/?f=x%2B5y%3D34)
Now solve these two equations together using substitution as follows
![14-y+5y=34\\ \\ 4y=34-14\\ \\ 4y=20\\ \\ y=5\\ \\ x=14-y=14-5=9\\](https://tex.z-dn.net/?f=14-y%2B5y%3D34%5C%5C%0A%5C%5C%0A4y%3D34-14%5C%5C%0A%5C%5C%0A4y%3D20%5C%5C%0A%5C%5C%0Ay%3D5%5C%5C%0A%5C%5C%0Ax%3D14-y%3D14-5%3D9%5C%5C)
Hence there are 9 $1 bills and 5 bills are of $5.
Answer:
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
The function domain: x<0 or 0<x<4 or x>4 (?) I believe....
Complete question :
A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.
Answer:
3 miles per day
Step-by-step explanation:
Given that:
1/2 miles of road takes 1/8 days
Unit Rate in miles per day :
Miles of road built / number of days taken
1/2 miles ÷ 1/8 days
1/2 * 8/1
= (1*8) / (2*1)
= 8/2
= 4
Unit Rate = 4 miles per day
the answer is:
A. slope: 9, y-intercept: -6