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1 year ago

John and Elijah are both driving from New York City to Richmond. John leaves

1 answer:

3 0

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

2x = 10

x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

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If the car dealer pays 85% of the base price and 75% of the installed options price from the manufacturer,

stira [4]

Answer:

$18,007,50

Step-by-step explanation:

First, you have to calculate the 85% of the base price that the dealer pays for the car:

base price: $18,750

$18,750*85%= $15,937.5

Second, you have to calculate the 75% of the installed options price that the dealer pays:

installed options price= $2,380

$2380*75%= $1,785

Third, you have to add the 85% of the base price plus the 75% of the installed options that the dealer has to pay and you also have to add the destination charge of $285:

$15,937.5+$1,785+$285= $18,007.5

According to this, the dealer has to pay $18,007.5 for the car with a base price of $18,750 and installed options price $2380 including a destination charge of $285.

7 0

3 years ago

A: 7x - 3x +10<br> B:+4x²+66-4<br> A-B=

Annette [7]

Answer:

A-B=7x-3x+10-4x²-66+4
4x-52-4x²

hope it helps

stay safe healthy and happy.

8 0

2 years ago

A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin

pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph. Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, $\text{ distance } =\text{ speed }\times \text{ time }$

$\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}$

We are given that, time taken for both are same. So $\frac{40}{a-11}=\frac{70}{a+11}$

$\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}$