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SOVA2 [1]
3 years ago
13

The number of hours it takes Jack to drive from Boston to Bangor is inversely proportional to his average driving speed. When he

drives at an average speed of 40 miles per hour, it takes him 6 hours for the trip. Write the equation that relates the number of hours, h, with the speed, s. How long would the trip take if his average speed was 50 miles per hour?
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

The equation that relates the number of hours, h, with the speed, s, is: h = 240/s.

If he drives at 50 miles/h he'll make the trip in 4.8 h.

Step-by-step explanation:

The formula for the average speed is given by:

average speed = distance/time

Since Jack takes 6 h if he drives at 40 miles per hour, then the distance between Boston and Bangor must be:

distance = (average speed)*time

distance = 40*6 = 240 miles

The equation that relates the number of hours to the speed at which he makes the trip is:

h = 240/s

If he drives at a speed of 50 miles, he'll make the trip in:

h = 240/50 = 4.8 hours

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vovikov84 [41]

Answer: 6.5

Step-by-step explanation: the x in the formula is the slope. And the slope is the rate of change.

7 0
3 years ago
Can you simplify 4(-5+100)
vampirchik [111]
380
Do 4(-5) = -20
Then 4(100) = 400
Add -20+400=380
(You have to subtract because of the negative number but the answer is positive because the bigger number in the equation is positive)
8 0
2 years ago
Write a linear function f with the values f(-1)=-3 and f(2)=6.
dusya [7]

Answer:

<em>y = 3x</em>

Step-by-step explanation:

<u>Equation of a Line</u>

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are given the following values of the function: f(-1)=-3 and f(2)=6. The points are (-1,-3) and (2,6). The slope is:

\displaystyle m=\frac{6+3}{2+1}=\frac{9}{3}=3

Now find the equation of the line using the second point:

y - 6 = 3 ( x - 2 )

Operating:

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Simplifying:

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4 0
3 years ago
A) Change 9 out of 50 to a percentage.​
Artist 52 [7]

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

6 0
3 years ago
Y=5x+20<br> Y=-7x-16<br> Solve each system by substitution
icang [17]

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

7 0
4 years ago
Read 2 more answers
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