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Rashid [163]
3 years ago
11

Megan started biking to the internet cafe traveling 9 mph, after some time the bike got a flat so Megan walked the rest of the w

ay, traveling 7 mph. If the total trip to the internet cafe took 9 hours and it was 75 miles away, how long did Megan travel at each speed
Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer: d=54 miles

Step-by-step explanation:

We let the distance megan covered =d

And the distance she walked to the cafe will be :

75 - d

Therefore

d/9 + (75 - d) / 7 =9

L.c.m is 63

7d+9(75-d)=63×9

7d+675-9d=567

-2d=567-675

d=108/2

d=54

d=54 miles

Bess [88]3 years ago
5 0

Answer:

Megan travelled at 9mph for 6 hours and 7mph for 3 hours

Step-by-step explanation:

Speed = distance / time

Speed*time = distance

Assuming that Megan travelled x hours at 9mph

(9*x) + (7*(9-x)) = 75

x = 6 hours

So Megan travelled at 9mph for 6 hours and 7mph for 3 hours

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pshichka [43]

Answer:

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed \frac{dx}{dt} = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}

(h)\frac{dh}{dt}=(x)\frac{dx}{dt}

(h)\frac{dh}{dt}=rx

\frac{dh}{dt}=\frac{rx}{h}

When automobile is 30 miles past the intersection,

For x = 30

\frac{dh}{dt}=\frac{30r}{h}

Since h=\sqrt{d^{2}+(30)^{2}}

Therefore,

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

3 0
3 years ago
Help please, I don’t understand this
Solnce55 [7]

Answer:

r(14) = 29

Step-by-step explanation:

r(x) = 3/2x+8

r(14) = 3/2*14+8 = 21+8 = 29

6 0
3 years ago
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Line p has a slope of -7/8
Alik [6]

Answer:

The slope of line q is -\frac{7}{8}.

Step-by-step explanation:

We know that line p has a slope of -\frac{7}{8}, and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be -\frac{7}{8} as well.  

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2 years ago
PLS help I will give brainliest​
Savatey [412]

Answer: 1= X = 8

              2= X = 6

              3= X = 7

              4=  X= 9/13 or X= 0.692307

Step-by-step explanation: hope this helps pls mark me brainliest

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2 years ago
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Solve the equations using the substitution method:<br> 4x -2y =22<br> 2x + 4y = 6
Ugo [173]
We have that
<span>4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then 
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</span>
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3 years ago
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