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Illusion [34]
3 years ago
9

Rico bicycles at an average speed of 15.5 miles per hour. What distance will Rico bicycle in 180 minutes?

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

46.5 miles

Step-by-step explanation:

Average speed × Time in hours = Distance

Average speed = 15.5 Miles per hour

Time = 180 minutes

We convert to hours

60 minutes = 1 hour

180 minutes = x

Cross Multiply

60x = 180

x = 180/60

x = 3 hours

Distance = 15.5 miles per hour × 3 hours

Distance = 46.5 miles

The distance Rico will ride his bicycle is 46.5 miles

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11
White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for f(x)=x^2-3x-10 from x = 4 to x = 6

The formula used to find average rate of change is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b = 6 and x = 4

Finding f(6):

f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8

Finding f(4):

f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6

Now Putting values:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

  • brainly.com/question/3071107
  • brainly.com/question/6436086
  • brainly.com/question/2485860

#learnwithBrainly

8 0
3 years ago
Divide 6.391 ÷ 0.57. Round the quotient to the nearest hundredth.
Paul [167]
The answer is 11.21, dividing 6.391 by 0.57 will give you 11.2122807018.
Rounding to 11.21 because the thousandths place is less then 5 so the hundredths place stays the same.
               (numeral)~(decimal)~(tenths)(hundredths)(thousandths)
5 0
3 years ago
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogeth
TiliK225 [7]

Answer:

2 rides & 4 games

Step-by-step explanation:

2 rides=$8

4 games=$8

8+8=$16

8 0
3 years ago
Solve for x when, 8x-12=4x
barxatty [35]

Answer:

x=3

Step-by-step explanation:

8x - 12 = 4x add 12 to both sides you get 8x=4x+12 subtract 4x on both sides then you get 4x=12 divide 4x on both sides and x = 3 Hope helps!!

8x-12=4x

+12    +12

__________

8x=4x+12

-4x   -4x

_______-

4x=12

÷4  ÷4

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x=3

Hope helps :3

4 0
2 years ago
Read 2 more answers
I need only 16 and 17 please help
Nesterboy [21]

9514 1404 393

Answer:

  16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

  17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

16.

a) The tail is invariant, so the rotation is (-90°, (4, 3)).

b) The tip is invariant, so the rotation is (90°, (0, 3)).

c) The origin is invariant, so the rotation is (-90°, (0, 0))

__

17.

a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).

b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).

c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

_____

<em>Additional comment</em>

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

8 0
3 years ago
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