Answer:
X = savings, p= pay per hour
X+4p = 86 - - - - (1)
X+6p=104 - - - - - (2)
Re arrange equation (1)
X=86-4p-----(3)
Substitute (3) in (2)
86-4p +6p=104
86+2p=104. (subtract 86 from both side)
2p = 18. (divide by 2 from both side)
Then p =$9
By substitute in equation (1)
X = $50
Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
Answer:
26, 42
Step-by-step explanation:
2, 4, 6, 10, 16
This sequence is 
⇒ the next term is the sum of the previous 2 terms.
Therefore, the next 2 numbers in this sequence would be:
10 + 16 = 26 and 26 + 16 = 42
Answer:
Step-by-step explanation:
There are <u>6</u><u> different shapes</u>
You want the outcome to be a Nonagon
You put the outcome as a ratio 1/6
1/6=0.1666667
0.1666667*100=16.6667%
<u>Chance of pulling out a </u><u>nonagon</u>
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
