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Rudiy27
3 years ago
12

A tugboat goes 180 miles upstream in 10 hours, the return trip downstream takes 5 hours. Find the speed of the tugboat without t

he current and the speed of the current
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

Upstream 18mph              Downstream  36 mph

Step-by-step explanation:

Upstream DATA:

distance = 180 miles ; time = 10 hrs ; rate = 180/10= 18 mph

-----

Downstream DATA:

distance = 180 miles ; time = 5 hrs ; rate = 180/5= 36 mph

------

Equation:

Upstream: b - c = 18 mph

Downstream: b + c = 36 mph

Now solve for "b"

solve for "c"

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Find x and y pleaseee
ValentinkaMS [17]

Answer:

x = 23         y = 42

Step-by-step explanation:

y + 54 + 4x - 8 = 180

y + 4x = 180 - 46

y + 4x = 134

180 - (5x - 19) = 4x - 8

180 - 5x + 19 = 4x - 8

180 + 19 + 8 = 4x + 5x

207 = 9x

207/9 = x

x = 23

y + 4(23) = 134

y = 134 - 92

y = 42

6 0
1 year ago
Using the right angle below find the cosine of angle A.
Ket [755]

Answer:

0.8 or 4/5

Step-by-step explanation:

Cos(A) = adjacent/hypotenuse

= 8/10 = 4/5 = 0.8

5 0
3 years ago
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Which is the graph of y - 3 = - %-(X + 6)?<br> HELP
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Answer:

The first chart on the left

7 0
3 years ago
In the system below, what is the sum of the x-coordinates of all solutions?
Ainat [17]

Answer:

The sum of the x-coordinates of all solutions is -2

Step-by-step explanation:

We are given system of equations as

7x^2+3y^2=187

3y^2-7x=47

Firstly, we will isolate x

7x=3y^2-47

x=\frac{3y^2-47}{7}

now, we can plug back in first equation

7(\frac{3y^2-47}{7})^2+3y^2=187

now, we can solve for y

\frac{9y^4}{7}-\frac{261y^2}{7}+\frac{2209}{7}=187

\frac{9y^4}{7}-\frac{261y^2}{7}+\frac{2209}{7}-187=0

(y^2-25)(y^2-4)=0

y=-5,y=5,y=-2,y=2

now, we can find x-values

At y=-5:

x=\frac{3(-5)^2-47}{7}

x=4

At y=5:

x=\frac{3(5)^2-47}{7}

x=4

At y=-2:

x=\frac{3(-2)^2-47}{7}

x=-5

At y=2:

x=\frac{3(2)^2-47}{7}

x=-5

now, we can add all x-coordinate solution values

=4+4-5-5

=-2

So,

the sum of the x-coordinates of all solutions is -2

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3 years ago
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dolphi86 [110]
Move -8 to the other side n it becomes positive
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