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3 years ago

How can I solve a algebraic equation??

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Use your brain??!! Idkkk

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

Find the slope.<br> (if it's a fraction with a whole number, write it as an improper fraction)

tiny-mole [99]

As you can see, every time x increases by 2, y decreases by 5.

So, we have

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{-5}{2}=-2\dfrac{1}{2}$

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3 years ago

Alex plays hockey. He needs to buy a new hockey stick and skates. The hockey stick costs $80 and new skates cost $300. Alex has

Umnica [9.8K]

The answer would be 303.62 if I’m not mistaken

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3 years ago

Ethan correctly answers 80% of the total questions on his history test. Enter the number of questions on Ethan’s history test.

jasenka [17]

It might be about 20 questions

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3 years ago

Read 2 more answers

What are the X and Y intercepts of the line in the graph?

vovikov84 [41]

Answer:

Y-int: (0,3)

X-int: (4,0)

Equation: y = -3/4x + 3

Step-by-step explanation:

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3 years ago