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Sunny_sXe [5.5K]
3 years ago
14

Average speed of Car 1 = 35 mph. Average speed of Car 2 = 55 mph. Time elapsed between start of Car 1 and start of Car 2 = 18 mi

nutes. How long before Car 2 overtakes Car 1? ___ hour. 0.33 0.53 0.43
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0
It is 0.53 hope this helps you.
AlekseyPX3 years ago
4 0

Answer:

0.53

Step-by-step explanation:

Given that two cars are going in the same direction.

I car started 18 minutes before.

So initially I car would be distance travelled 18 minutes ahead of II car which is yet to start

Since speed is 35 miles per hour i.e. 35(60) miles per minute

in 18 minutes distance travelled by I car = 35(18/60) = 10.5 miles

The relative speed = difference of speeds = 55-35 = 20 mph

TO overtake car I time taken

= distance ahead by I car/relative speed

=\frac{10.5}{20} =0.525 hours

In hours this equals = 0.53

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3 years ago
Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in
adell [148]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $300

r = 10% = 10/100 = 0.1

n = 2 because it was compounded 2 times in a year(6 months).

t = 3 years

Therefore,

A = 300(1 + 0.1/2)^2 × 3

A = 300(1 + 0.05)^6

A = 300(1.05)^6

A = $402.03

4 0
3 years ago
Please help me with this question please!!!
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A = x * x = x^2

B = 6 * x = 6x

C = 8 * x = 8x

D = 6 * 8 = 48

So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =

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7 0
3 years ago
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Solve the system by substitution.<br> y + 4 = x <br> 10x + 2y = 16
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Answer:

  • (2, -2)

Step-by-step explanation:

<u>Given system:</u>

  • y + 4 = x
  • 10x + 2y = 16

<u>Substitute x into the second equation:</u>

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  • 10y + 40 + 2y = 16
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  • y = -2

<u>Find x:</u>

  • x = -2 + 4
  • x = 2
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