3 years ago

PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!!!!!!!!!

Mathematics

1 answer:

Norma-Jean [14]3 years ago

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I also need help anyone can help

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Margaret drove to a business appointment at 80 mph. Her average speed on the return trip was 70 mph. The return trip took her 1/

Gnoma [55]

Margaret traveled 80 miles to the appointment.

Step-by-step explanation:

Given,

Speed while driving for appointment = 80 mph

Speed while coming back = 70 mph

Let,

x be the time taken for the trip

y be the distance covered

Distance = Speed*Time

y = 80x Eqn 1

Time taken in return trip = x+1/7

y = 70(x+1/7)

$y=70x+10$ Eqn 2

Putting value of y from Eqn 1 in Eqn 2

$80x=70x+10\\80x-70x=10\\10x=10$

Dividing both sides by 10

$\frac{10x}{10}=\frac{10}{10}$

x = 1 hour

Putting x = 1 in Eqn 1

$y=80(1) \\y=80$

Margaret traveled 80 miles to the appointment.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

4 years ago

Remove all perfect squares from inside the square root assume y is positive ✔️200y^4

kondor19780726 [428]

$\bf \sqrt{200y^4}\qquad 
\begin{cases}
200=2\cdot 2\cdot 2\cdot 5\cdot 5\\
\qquad 2^2\cdot 2\cdot 5^2\\
y^4=y^{2+2}\\
\qquad y^2\cdot y^2\\
\qquad (y^2)^2
\end{cases}\implies \sqrt[2]{2^2\cdot 2\cdot 5^2\cdot (y^2)^2}
\\\\\\
2\cdot 5\cdot y^2\sqrt{2}\implies 10y^2\sqrt{2}$