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svp [43]
2 years ago
11

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

m should cover to get to the park? Pease and fanks
Mathematics
1 answer:
Butoxors [25]2 years ago
6 0
<h2>Hello!</h2>

The answer is:

The distance that Adam should cover to get to the park is 108 miles.

<h2>Why?</h2>

To solve the problem, we need to write two equations with the given information about the times and his speed.

So,

For the first equation we have: Going to Disney Park

time=4hours

Distance=v*4hours

For the second equation we have: Going back from Disnery Park

time=4hours-2.5hours=1.5hours

Speed=v+45mph

Distance=(v+45mph)*1.5hours

Now, if He covered the same distance going and coming back, we have:

v*4hours=(v+45mph)*1.5hours

v*4hours=v*1.5hours+45mph*1.5hours

v*4hours-v*1.5hours=45mph*1.5hours

v*2.5hours=67.5miles

v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph

We have that the speed when Adam was going to Disney Park was 27 mph.

Therefore, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Then, substituting the speed into the first equation, we have:

Distance=v*4hours\\Distance=27mph*4hours=108miles

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

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3 years ago
Victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that vict
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Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. 13.66=\frac{13.66}{100}=0.1366

Upon substituting our given values in compound interest formula we will get,

A=1,349.34(1+\frac{0.1366}{12})^{12*1

A=1,349.34(1+0.011383333)^{12

A=1.349.34(1.011383333)

A=1,349.34*1.145485275522

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3 0
2 years ago
Distribute 2 (9x^2 + 3).
beks73 [17]

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

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Which of the relations given by the following sets of ordered pairs is a function?
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Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
<span>A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
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Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.

In short, your answer would be choice D [</span><span>{(−2,5),(7,5),(−4,0),(3,1),(0,−6)}] because it does not have any repeating X values.</span>
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