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Sladkaya [172]
3 years ago
14

Solve the equation. 4x – 13 = 2x +9

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

Step-by-step explanation:

4x - 13 = 2x + 9

4x - 2x = 9 + 13

2x = 22

x = 22/2

x = 11 <===

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ASAP!! PLEASE I NEED HELP!!
sergey [27]

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

<em>The area of any rectangle A = L × W, where</em>

  • L is its length
  • W is its width

<em>The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  </em>

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

7 0
3 years ago
4. Find the solution to the equation below.<br> please finish<br> this<br> problem
velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}

Simplify the expressions/equations:

\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}

Isolate w-variable:

\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

4 0
1 year ago
Find the surface area of the equilateral triangular prism below.
velikii [3]

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

3 0
2 years ago
What is the inverse of the function y = -8x + 15?
MrRa [10]

y = -8x + 15\\ 8x=-y+15\\ x=-\dfrac{y-15}{8}\\\\ y^{-1}=-\dfrac{x-15}{8}

6 0
3 years ago
13 ft :10 ft 18 ft Find the area of the trapezoid. [? ] square feet Hint: The formula for the area of a trapezoid is: (b17b2). h
Liono4ka [1.6K]
The area is 29473
i just need points
3 0
2 years ago
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