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const2013 [10]
3 years ago
8

A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of

the boat in still water and the speed of the current.
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0
Let, the speed of boat = x 
Speed of current = y
So, x + y = 280/7
x + y = 40   ---- first equation

x - y = 280/14 
x - y = 20  
x = 20 + y

Substitute this value of x in first equation, 
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10

Substitute this in first equation, 
x + 10 = 40
x = 30

In short, Speed of Boat = 30 mph, & speed of current = 10 mph

Hope this helps!
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0.005

Step-by-step explanation:

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You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic
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Answer:

16 in × 20 in

Step-by-step explanation:

  1. Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

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% of the picture in the frame will be

                        (24/320) * 100% =7.5%

     2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

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The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame  of 16 by 20 in because it will keep more of the original picture.

6 0
3 years ago
Solve the equation sine Ф=0.6792 for 0°≤Ф≤360
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Answer:

42.78⁹, 137.22⁹.

Step-by-step explanation:

sine Ф=0.6792

Angle Ф in the first quadrant = 42.78 degrees.

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3 years ago
A rectangular school banner has a length of 40 inches and a width of 24 inches. A sign is made that is similar to the school ban
e-lub [12.9K]

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Answer:

(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R

Step-by-step explanation:

4x-6y=-26

-2x+3y-13

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