Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Answer:
Option A, Shannon paid $ 7 per hour to labor than Joni
Step-by-step explanation:
Total amount paid by Shannon = $339.50
Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)
Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5
Total cost of 1 hours of labor paid by Shannon $65 per hour
Total amount paid by Joni = $455
Total cost of 2.5 hours of labor paid by Joni = $455- $$310
Total cost of 1 hours of labor paid by Joni = $145/2.5
Total cost of 1 hours of labor paid by Joni = $ 58
Hence, Shannon paid $ 7 per hour to labor than Joni
Option A is correct
Answer:
6.59 and 3.41
Step-by-step explanation:
To evaluate, substitute n for each of the given values.
So when n= 3:
0.53n + 5 = 1.59 + 5 = 6.59
And when n = -3
0.53 n + 5 = -1.59+5=3.41
Hope this helps
Answer:
Bar Graph
Step-by-step explanation:
Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time
