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marshall27 [118]
3 years ago
11

It took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph. How much time wil

l the way back take if Peter drives with the average speed 60 mph? IN HOURS
Mathematics
2 answers:
dlinn [17]3 years ago
7 0
2.7
hope it helps gamer
pishuonlain [190]3 years ago
4 0

Answer: 2.7 hours

Step-by-step explanation:

3 x 54 = 162, 162 is how many miles the drive is. If he is going 60 mph you have to divide 162/60 and you get 2.7 hours

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In parallelogram ABCD, what is DC?<br><br> DC = in.
expeople1 [14]
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.

To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
\frac{6x}{6} = \frac{18in}{6}
x = 3in

Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in

To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
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7 0
3 years ago
Read 2 more answers
It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s
Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph  = 3.5 mph

6 0
3 years ago
The radius of a circle is 7 millimeters. What is the circle's area?<br> r=7 mm<br> Use 3.14 for a.
givi [52]

Answer:

153.86

Step-by-step explanation:

formula - A = π × r2

3.14 x 7^2

= 153.86

4 0
2 years ago
The diameter of a circle is 55 inches.
Galina-37 [17]
The radius would be 8.75
6 0
2 years ago
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10m radius. What is the area of the circle? Round your answer to the nearest tenth.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

The area of a circle can be found using:

a=πr^2

We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.

a=π*10^2

Evaluate the exponent

a=π*100

Multiply pi and 100

a=314.159265359

Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.

a=314.2

The area is 314.2 square meters, or choice D

7 0
3 years ago
Read 2 more answers
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