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Mumz [18]
3 years ago
9

WILL AWARD BRAINLIEST What is the value of a?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0
Answer : C

6 2 over 3 units
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Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b
olasank [31]
1/2 + 3/x = 3/4
multiply everything by x
1/2x + 3 = 3/4x...subtract 1/2x from both sides
3 = 3/4x - 1/2x
3 = 3/4x - 2/4x
3 = 1/4x...multiply both sides by 4
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8 0
3 years ago
Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75
Lady_Fox [76]

Answer:

75 + 45 = 15(3 + 5)

Step-by-step explanation:

Given

75 + 45 <em>-- Corrected</em>

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

45 = 3 * 3 * 5

75 = 3 * 5 * 5

The common factor is:

GCF = 3 * 5

GCF = 15

So, 75 + 45 becomes

75 + 45 = 15 * 3 + 15 * 5

Factorize

75 + 45 = 15(3 + 5)

<em>Hence, the sum has been rewritten as </em>15(3 + 5)<em></em>

5 0
3 years ago
Solve the inequality for x: 25 - 14x &lt; 53*
Mamont248 [21]

Answer:

x must be greater than -53/14

(im not 100% sure but i think this is correct)

5 0
3 years ago
Triangle
borishaifa [10]

Answer:

A. and B.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
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