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evablogger [386]
2 years ago
9

Is 4 to 7 the same as 7 to 4? Explain why or why not.

Mathematics
1 answer:
nadya68 [22]2 years ago
4 0

Answer:

In math, 4 to 7 = 4/7and 7 to 4 = 7/4so they are NOT equal.

Step-by-step explanation:

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A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0
2 years ago
What is the value of the y-coordinate of point A?
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Answer:

0.26

Step-by-step explanation:

A (x , y), radius of circle = 1

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y = 0.26

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3 years ago
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What is the surface area of the net of the rectangular prism?
swat32

Answer:

638.32 yd²

Step-by-step explanation:

The surface area of any figure can be found by calculating the area of all the sides and finding the sum.  In a rectangular pyramid, there is a rectangular base (l x w) and the same two triangles on one side and another two identical triangles on the other side.

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Area of a triangle:  A = 1/2(b)(h)

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Side triangles: 14.8 x 13.4 = 198.32 yd²

Total:  198.32 + 225.6 + 214.4 = 638.32 yd²

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