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kolbaska11 [484]
4 years ago
5

Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike? 4.0 h 4.5 h 10.0 h 10.5 h

Mathematics
2 answers:
jonny [76]4 years ago
7 0

Answer:.54

Step-by-step explanation:

dezoksy [38]4 years ago
4 0

Answer: 4.5

Step-by-step explanation: because, 3x4=12 then you have 1.5 left and 1.5 is half of three so you would have .5 and you then add 4+.5 to get 4.5

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The perimeter of a rectangular field is 318 yards. If the width of the field is 74 yards, what is its length?
san4es73 [151]
318/2=159

159-74=85

the length is 85 yards
6 0
3 years ago
The graph shows distances traveled by two boats.
lisabon 2012 [21]
To find the speed of the boats we will divide the distance by time.

From the graph we finde the boats' speeds as ;

Boat\quad 1\quad =\quad \frac { 35 }{ 5 } =\quad 7\quad km/h\\ \\ Boat\quad 2\quad =\quad \frac { 35 }{ 7 } =\quad 5\quad km/h

And for the speed of the third boat, we will also divide the distance by time.

Boat\quad 3\quad =\quad \frac { 32 }{ 4 } =\quad 8\quad km/h

As you can see the speed of boat 3 (8 km/h) is more than boat 1 (7 km/h) and boat 2 (5 km/h).

Thus the third boat is faster than both of them.

The answer is B.

You can see the speed of boat 1 and 2 in the picture.


6 0
3 years ago
Average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.
11111nata11111 [884]
The average rate of change is the slope of the secant line connecting the points on f(x) from x=-5 to x=10.

In other words, it is just the slope of the straight line connecting the points
(-5,f(-5)) \: and \: (10,f(10))

So we were given ,

f(x) = {x}^{2} - 3x - 10

At
x = - 5
f( - 5) = {( -5 )}^{2} - 3( - 5) - 10
f( - 5) = 25 + 15- 10
f( - 5) = 30

Also at
x = 10
f( 10) = {( 10)}^{2} - 3( 10) - 10.
f( 10) = 100- 30 - 10
f( 10) = 60

The average rate of change
= \frac{f(10) - f( - 5)}{10 - - 5}
= \frac{60- 30}{15}
= \frac{30}{15}
= 2
3 0
3 years ago
Convert the function into intercept form. Show your work. y=-x^2+5x+36
UkoKoshka [18]
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)


</span><span>→ y =  -(x2 - 9x +4x - 36)


</span><span>→ y = -[x(x-9) + 4(x - 9)]


</span><span>→ y = -(x - 9)(x + 4)

Your answer would be </span>y=-(x-9)(x+4).
7 0
3 years ago
What is the length of AC ?<br><br> 3ft<br> 4ft<br> 9ft<br> 18ft
WINSTONCH [101]

ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AC}{MN}=\dfrac{CB}{NB}\\\\MN=9\ ft\\CB=2\cdot3\ ft=6\ ft\\NB=3\ ft

Substitute:

\dfrac{AC}{9}=\dfrac{6}{3}\\\\\dfrac{AC}{9}=2\ \ \ \ |\cdot9\\\\AC=18\ ft

5 0
3 years ago
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