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NeTakaya
3 years ago
9

3(x + 4) = 7x - 18 How do I solve it?

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

x = 7.5

Step-by-step explanation:

Step 1:

3 ( x + 4 ) = 7x - 18           Equation

Step 2:

3x + 12 = 7x - 18        Multiply

Step 3:

12 = 4x - 18         Subtract 3x on both sides

Step 4:

30 = 4x         Add 18 on both sides

Step 5:

x = 30 ÷ 4         Divide

Answer:

x = 7.5

Hope This Helps :)

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Does anyone know how to solve this?
erik [133]

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

8 0
3 years ago
Excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles upstream and to return if the rate at which t
Mama L [17]

Answer:

Let the current speed be "c";

Then the boat speed in still wate is "5c":

-----------------------

Upstream speed:

distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs

---------------------------

Downstream speed:

distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs

Step-by-step explanation:

Equation:

time + time = 2 1/2 hrs

3/c + 2/c = 5/2

Multiply thru by 2c to get:

6 + 4 = 5c

c = 2 mph (speed of the current)

5c = 10 mph (speed of the boat in still water)

3 0
2 years ago
Two whole numbers A and B satisfy the following conditions. Find A and B . A + B = 44. A : B is equivalent to 4 : 7
aksik [14]
Hello there, multiply to each side of ratio until you get the answer, which in this case you have to multiply 4 to each side, therefore...
B= 28
A= 16.
Hope this helps!!

~Brainliest
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3 years ago
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Luba_88 [7]
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larisa [96]
So the total amount of paper is 4/4 right?
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3 years ago
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