This graph represents the relationship between x and y what is the equation showing the relationship between x and y

two trains leave stations 210 miles apart at the same time and travel tword each other. one train at 85 miles per hour while the

hodyreva [135]

recall your d = rt, distance = rate * time.

let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.

they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.

When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}$

3 0

3 years ago

What is the value of x? x = ?

meriva

 Sum of both the angle will 180 because of linear pair

now, 10x - 20 + 6x + 8 =. 180 

 16x - 12 = 180

16x = 192 

x= 192/16

x = 12

1st angle = 100

2nd is = 80

Hope it helps and your day will full of happiness

8 0

3 years ago

Read 2 more answers

Can someone please help me

4vir4ik [10]

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

$\frac{80-20}{40-10} = \frac{60}{30} = 2$

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0

2 years ago

Pls help me with this

Nady [450]

Answer:

Step-by-step explanation:

9. the set containing all objects or elements and of which all other sets are subsets.

10. complement --> the amount in only one of teh sets

intersection --> the amount in both sets

11. 14 or -14

13. 46 1/2

14. 2 31/120

15. 1100% profit

16. 1200 gm

17. cube root of 7?

18. 6000 per year

6 0

1 year ago

Im turning percents into fractions and im not sure how to do this one please help

slava [35]

4 1/7 = (4*100) +(1/7 of 100)= (400+ 14.28)= 414.28

The answer is 414.28

3 0

3 years ago