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Lerok [7]
3 years ago
12

Each line represents a proportional relationship. Write an equation for each line. Show your work.

Mathematics
2 answers:
Semenov [28]3 years ago
6 0

Answer:

The answer is in the picture. I hope it is helpful.

SashulF [63]3 years ago
4 0

9514 1404 393

Answer:

  a: y = x

  b: y = 2/3x

Step-by-step explanation:

A proportional relationship is described by the equation ...

  y = kx

The value of the constant k can be found from any (x, y) pair:

  k = y/x . . . . . divide both sides of the above equation by x

__

Line 'a' goes through the point (1, 1), so we have ...

  k = 1/1 = 1

  y = x . . . . . . . the coefficient 1 is not shown. Equation for line a.

__

Line 'b' goes through the point (3, 2), so we have ...

  k = 2/3

  y = 2/3x . . . . . . Equation for line b.

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5/6 = b/48. B=______​
Andrew [12]

Answer:

b = 40

Step-by-step explanation:

4 0
3 years ago
Can someone help me solve this !!
Norma-Jean [14]

Answer:

27

5x-13=3x+3

2x-13=3

2x=16

x=8

3(8)+3

24+3

27

8 0
3 years ago
The longest side of a triangle is 4 more than twice the shortest. The third side is 3 more than the shortest. The perimeter is 3
kondaur [170]

Answer:

The shortest side = 6

The third side = 9

The hypotenuse (the longest side) = 16

Step-by-step explanation:

First, let's establish the following based on the information given:

The shortest side = x

The third side = (x + 3)

The hypotenuse (the longest side) = (2x + 4)

The perimeter = 31

Since the perimeter is the total of all 3 sides, we are left with this equation:

(x) + (x + 3) + (2x + 4) = 31

From here, combine like-terms and solve for x.

(x) + (x + 3) + (2x + 4) = 31

(4x + 7) = 31

4x = 24

x = 6

Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.

The shortest side = 6

The third side = (x + 3) = 9

The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16

To check, add all of the sides together to make sure they equal 31.

6 + 9 + 16 = 31

~Hope this Helps!~

7 0
3 years ago
What is the height of a right circular cylinder made from a rectangular sheet of lengil
Talja [164]

Answer:

15 cm

Step-by-step explanation:

When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm

5 0
3 years ago
Find the simplest interest. principal = $870 interest rate = 3% time = 9 months
JulsSmile [24]

Answer: $889.58

Step-by-step explanation:

⇒<u>Equation:</u>

A = P(1 + rt)

Turn 3% into decimal and you get 0.03, then 9 months/ 12 months = 0.75 years.

<h2><u>WORK ↓</u></h2>

⇒A = 870(1 + (0.03 × 0.75)) = 889.575

⇒A = $889.58

* Hopefully this helps:)  Mark me the brainliest:) !!!!

8 0
3 years ago
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