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djyliett [7]
3 years ago
15

Solve the following formula for the indicated variable. – 5x – 3y = 13: solve for y.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

9514 1404 393

Answer:

  y = -5/3x -13/3

Step-by-step explanation:

In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:

  • multiply by -3
  • add -5x

We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.

So, first we add the opposite of -5x to both sides of the equation.

  -5x +5x -3y = 13 +5x

  -3y = 13 +5x . . . . . . . . . collect terms

Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.

  (-1/3)(-3y) = (-1/3)(13 +5x)

  y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form

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DUE BEFORE 5:OO!!!!!!
AleksAgata [21]
X + y = 6
x - 6y = -9

Subtract the equations, you get:

y - (-6y) = 6 - (-9)
7y = 15

y = 15/7

x + 15/7 = 6
x + 15/7 = 42/7
x = (42-15)/7
x = 27/15

None of your answer choices are correct, since the solution to the systems of equation is (27/15, 15/7)
6 0
3 years ago
Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓
SashulF [63]

Answer:

Length: 14 feet   Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

6 0
3 years ago
If on the unit circle C , the distance from P (1, 0) to the point T ( 5/13, 12/13 ) is x , determine the coordinates of the poin
Lorico [155]

Answer:

T' (\frac{5}{13},- \frac{12}{13})

Step-by-step explanation:

See the diagram attached.

This is a unit circle having a radius (r) = 1 unit.

So, the length of the circumference of the circle will be 2πr = 2π units.

Now, the point on the circle at a distance of x along the arc from P is T(\frac{5}{13},\frac{12}{13}).

Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' (\frac{5}{13},- \frac{12}{13}), where, T' is the image of point T, when reflected over the x-axis. (Answer)

6 0
3 years ago
The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be
shusha [124]

Answer:

Option: d is the correct answer.

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

Step-by-step explanation:

It is given that:

The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be the letters I, D, A, H, or O.

The number of different ways it could be done is:

as for the first place we have just 5 choices. ( as just 5 letters  I, D, A, H, or O are to be used )

for the second place we have 26 choices. ( All the 26 alphabets could be used )

and same is for the third place we have 26 choices.

Now for the fourth,fifth,sixth and seventh places we have 10 choices.

Hence, the number of ways it could be done is:

5×26×26×10×10×10.

Also the number of ways the number of license plates can be increased is by not taking any restriction for the first place.

i.e. Allow for more first letters to be used.

Hence, the answer is:

Option: d

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

6 0
3 years ago
Read 2 more answers
A trapezoid is a quadrilateral with exactly one pair of what sides.
balu736 [363]

Answer:

parallel

Step-by-step explanation:

it has exactly one pair of parallel sides or sides that will never touch

5 0
3 years ago
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