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3 years ago

Luis created a spreadsheet of his expenses for three months. Which of Luis's expenses are variable expenses?

Mathematics

1 answer:

ddd [48]3 years ago

6 0

As they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.

Variable expenses is a concept in economics. They are costs that change due to an increase or decrease in the production volume, such as raw material costs.

The variable cost in money is obtained by multiplying, starting from a certain cost, the variable cost in kind by the price of the variable factor. The curves of average variable cost and marginal variable cost are deduced from the curve of variable cost in money according to geometric relationships.

Therefore, as they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.

Learn more about maths in brainly.com/question/21694231

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Step-by-step explanation:

Here, we want to determine if each situation is proportional or not

a) Non-proportional

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3 years ago

Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other.

Makovka662 [10]

An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length.
On the first triangle, its legs are twice the length of the legs of the second triangle.

To put it into variables, let:
B = the same base length of the two triangles
A = the length of one leg the smaller triangle
2A = the length of one leg of the bigger triangle

Given: Perimeter of smaller triangle = 23cm
Perimeter of bigger triangle = 43cm

Recall the formula for solving the perimeter of a triangle:
Perimeter = A + B + C

where, A, B, and C are the legs of the triangle

Since the triangle involved is an isosceles triangle, therefore, we can say that
Perimeter = 2A + B , 2 legs are equal ( A=C )

Substituting the given perimeter value to the formula.

23cm = 2A + B ⇒ equation 1 (smaller triangle)
43cm = 2(2A) + B ⇒ equation 2 (bigger triangle)

Simplifying equation 2.
43cm = 4A + B
(rearranging) B = 43cm - 4A ⇒ equation 3

Substituting equation 3 to equation 1:
(equation 1) 23cm = 2A + B
23cm = 2A + (43cm - 4A)
23cm = -2A + 43cm
2A = 43cm - 23cm
2A = 20cm ⇒ length of the leg of the bigger triangle
A = 10cm ⇒ length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
(equation 3) B = 43cm - 4A
B = 43cm - 4(10cm)
B = 3 cm

Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm

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