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avanturin [10]
3 years ago
10

Parker wants to ride his bicycle 34 miles this week. He has already ridden 10 miles. If he rides for 5 more days, how many miles

did he ride each day? Define the variable and write an equation.
Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer: He rode 4.8 miles each day.

Variable: x = Constant distance distance traveledd each day.

Equation : 10+5x=34

Step-by-step explanation:

Total distance needs to travel = 34 miles

Distance already traveled = 10 miles

He will ride bicycle for 5  more days.

Let x = Constant distance distance traveledd each day.

Total distance = 10+5x

i.e.

10+5x=34\\\\\Rightarrow\ 5x=24\\\\\Rightarrow\ x=4.8

Hence, he rode 4.8 miles each day.

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What number increased by 3,080 equals 5,082?
kodGreya [7K]
Let the required number be x, then
x + 3,080 = 5,082
x = 5,082 - 3,080
x = 2,002
8 0
3 years ago
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
During a figure skating routine, Jackie and Peter skate apart with an angle of 15° between them. Jackie skates for 5 meters and
Fantom [35]

Answer:

Ans = 2.53m

Step-by-step explanation:

It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.

So x = 5² +7² - 2 (5) (7)cos 15°

Solve this and you get your answer.

Hope this was helpful :)

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Let us assume the price before the increase in the fare = x
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x/25 = 121.60 dollars
x = 25 * 121.60 dollars
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So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.
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