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guapka [62]
4 years ago
9

A motor boat travels 180 miles in 5 hours going upstream. It travels 260 miles going down stream in the same amount of time. Wha

t is the rate of the boat in still water a and what is the rate of the current . Is there anyone out there that can help ?
Mathematics
1 answer:
kodGreya [7K]4 years ago
3 0

Answer:

  • boat: 44 mph
  • current: 8 mph

Step-by-step explanation:

The average speed upstream is ...

  speed = distance/time

  upstream speed = (180 mi)/(5 h) = 36 mi/h

The average speed downstream is ...

  downstream speed = (260 mi)/(5 h) = 52 mi/h

__

The upstream speed is the difference between the speed of the boat (b) and that of the current (c):

  36 = b - c

Likewise, the downstream speed is the sum of those of boat and current:

  52 = b +c

Adding these equations gives ...

  88 = 2b

  44 = b

Then the speed of the current is ...

  c = b -36 = 44 -36 = 8

The boat's speed in still water is 44 mi/h; the current's speed is 8 mi/h.

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Could yall help me pls?
kaheart [24]

Answer:

240 cm^2

Step-by-step explanation:

area of each triangle

=(10 x 7)/2 cm^2

=35 cm^2

area of four triangles

=35 x 4 cm^2

=140 cm^2

area of the square

=10 x 10 cm^2

=100 cm^2

area of the polygon

=(100 + 140) cm^2

=240 cm^2

8 0
3 years ago
Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then,
barxatty [35]

The volume of the first pan is (length x width x depth) =

                                               (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan.  So we know that
there is 1408 cm³ of batter in the new pan.  It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

                         (length x width x depth)  =  1408 cm³

                       (20cm x 20cm) x (depth)  =  1408 cm³

                                (400 cm²) x (depth)  =  1408 cm³

Divide each side by  400cm² :      depth  =  1408 cm³ / 400cm²

                                                               =  3.52 cm

Since the new pan is 5 cm deep, this works.  The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is <em>from the top of the pan</em>.

The pan is        5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's  <em>1.5 cm  </em>from the top.

5 0
3 years ago
A=-2(negative 2) b=3 and c=5 what is 3ac-a+2b.With explanation
KIM [24]

Step-by-step explanation:

a = -2

b = 3

c = 5

<h2>Question:</h2>

3ac - a + 2b

= Solution,

= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3

here ... ( + ) × ( - ) = ( - )

= - 6 × 5 - ( - 2 ) + 2 × 3

here .... ( - ) × ( - ) = ( + )

= - 6 × 5 + 2 + 2 × 3

= - 30 + 2 + 6

= - 30 + 8

here the ( - ) have greater variable so...

= - 22

hence - 22 is the answer . ....

6 0
2 years ago
What this equation solve plz
suter [353]

Step-by-step explanation:

step 1. if x>3 then the zeroes do not exist.

step 2. Therefore 1/(((1/(x+2))+((1/(x+3))) = (x+2)(x+3)/((x+3)+(x+2))

step 3. Which is (x^2 +5x+6)/(2x+5)

step 4. the answer is b.

8 0
3 years ago
I need help, yes I'm not a big brain to this stuff
crimeas [40]

Answer:

what's the question?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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