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Anvisha [2.4K]
3 years ago
10

The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 m

iles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

The time it will take is 13 hours

Step-by-step explanation:

From the given statement, we can generate the following inverse proportion relationship between t and s

t ∝ 1/s

t = \frac{k}{s} \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = \frac{t_1s_1}{s_2} \\\\t_2 = \frac{12 \times 52}{48} \\\\t_2 = 13 \ hours

The time it will take is 13 hours

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When Maxwell solved his equation, he got 5=5. If he did everything correctly, what does this solution tell him?
hodyreva [135]

Answer: that the solution is true

Step-by-step explanation: if you get something like 10=10 it’s true but if you get like 4= 7 it’s false

4 0
3 years ago
Write an equation of the line passing through point P(4, -6) that is perpindicular to the line y= -3.​
FinnZ [79.3K]

Answer: y=1/3x - 22/3

Step-by-step explanation:

6 0
3 years ago
If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance
Tomtit [17]

Answer:

a) Interest earned = $36

New Balance  = $336

b) Interest rate  = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance =  $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding interest

Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding rate

Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%

So, Interest rate  = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding time

Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding Principal

Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0
3 years ago
15. Aime, Seamus and Shane were discussing how long it took them to complete their
Anna71 [15]

Answer:

x + 2x + (x - 45)

Step-by-step explanation:

seamus is x

aime is twice seamus so multiply x by 2

shane did it 45 less than seamus so subtract by 45

4 0
3 years ago
Read 2 more answers
There are 32 munchkins in the box. You want to distribute the munchkins to Amir and Isaac so that the ratio of Amir's munchkins
GrogVix [38]
A gets 5 parts and I gets 8 parts
So 5+8=13. A will get 5/13 parts of the total
5/13*32(total)=12.3 since he can’t get .3 we round and Amir gets 12 leaving 20 for Isaac.
5 0
3 years ago
Read 2 more answers
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