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Vilka [71]
3 years ago
15

Mitchell left Detroit on the interstate driving south towards Orlando at a speed of 60 miles per hour. Clark left Detroit 1 hour

later traveling at a speed of 75 miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?
Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

the answer is 4 hours.

Step-by-step explanation:

x: time clark drove

Y: Mitchells time drove

60 times Y = 75 times x

y=x+1

60(x+1)=75x

60x+60=75x

60=15x       (subtract the 60x to the other side)

60/15=4

x=4

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Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 sec
max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
Using a System to Break Even
andreev551 [17]

Answer: P^2 - 10p + 24 = 0

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

8 0
3 years ago
The patriot diner sells 2 cheeseburgers and one soda for $11.00 and 3 hamburgersand 2 sodas for $18.00. What is the cost of a ch
kvasek [131]

Answer: the cost of a cheeseburger is $4

Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

Let y represent the cost of one Soda.

The patriot diner sells 2 cheeseburgers and one soda for $11.00. It means that

2x + y = 11 - - - - - - - - - - - 1

She also sells 3 cheeseburgers and 2 sodas for $18.00. It means that

3x + 2y = 18 - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

6x + 3y = 33

6x + 4y = 36

Subtracting, it becomes.

- y = - 3

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 3 = 11

2x = 11 - 3 = 8

x = 8/2 = 4

6 0
3 years ago
The speed of light is 299,792.458 .
andrezito [222]

Answer:

a

when you round the number up it becomes 300,000.00

3 0
2 years ago
A quadrilateral has two angles that measure 120° and 140°. The other two angles are in a ratio of 2:3. What are the measures of
Furkat [3]
40 degrees and 60 degrees
8 0
3 years ago
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