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stealth61 [152]
3 years ago
14

Two cars at the same point on I-75. One heads north going 75mph and one heads south going 60mph. How long will it take for the c

ars to be at 420 miles apart?
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

It will take 3 hours 6 minutes 40 seconds for the cars to be 420 miles apart.

Step-by-step explanation:

Step 1; The cars are traveling in the opposite direction at different speeds. One is going north at a speed of 75 mph while the other is going 60 mph. So for every hour, the cars are traveling they increase the distance between in between themselves by 75 miles + 60 miles = 135 miles.

Step 2; Assume that in x hours the distance between them is 420 miles. To calculate x we divide the distance to be traveled by the distance being traveled every hour.

x = distance to be covered / distance being traveled every hour

= 420 / 135 = 3.11 hours

We multiply the 0.11 hours with 60 to convert it into minutes. 0.11 × 60 = 6.66 minutes and if we do the same for seconds, 0.66 minutes × 60 = 40 seconds.

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7 0
3 years ago
Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?
romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions \frac{40}{8}=\frac{x}{10} and \frac{x}{40}=\frac{10}{8}. We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

40*10=8*x

400=8x

8*x=40*10

8x=400

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0
3 years ago
Read 2 more answers
Which of the following is the value of m?<br><br> A. 18.5<br><br> B. 14.5<br><br> C. 29
Elanso [62]
The answer is 14.5 because :

2 times 2?5 = 5 so the denominator must have the same done, so 7.5 x 2.5 is 17.5. Subtract 3 from 7.5 and you get 14 .5 . So, m+ 14.5
7 0
3 years ago
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How do I describe the real zeroes of this function using Descartes's Rule of Signs?
Serhud [2]
The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0

negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0

y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
 1    2  3

3 or 1 positive roots

replace x with -x ( baically flip all signs of odd powerd numbers)

y=-2x⁵-x⁴+2x³+4x²-x-2
   -,-,+,+,-,-
     1    2

2 or 0 negative roots



3 or 1 positive roots
2 or 0 negative roots
2nd option is answer

4 0
3 years ago
The area of a rectangle is 144 square centimeters. The width is 9 centimeters. Which of the following statements is true? Select
Ket [755]

Answer:

Option C and D are correct.

Step-by-step explanation:

Area of rectangle = 144 cm^2

Width of rectangle = 9 cm

Length of rectangle = ?

We know,

Area of rectangle = Length * Width

144 = Length * 9

144/9 = Length

=> length = 16 cm

Option A is incorrect as 3 times width = 3* 9 = 27 but our length = 16 cm

Option B is incorrect as length = 16 cm and not 63 cm

Option C is correct as Length < 2(Width)

=> 16 < 2(9) => 16 < 18 which is true.

Option D is correct.

Perimeter = 2(Length + Width)

Perimeter = 2(16+9)

Perimeter = 50 cm

Option E is incorrect as Length ≠ Width

6 0
3 years ago
Read 2 more answers
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