Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?

1 answer:

iogann1982 [59]2 years ago

3 0

In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.

You might be interested in

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

jeyben [28]

The given expression is:

$f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ 
f(x)= \frac{1}{2}(9)^{x}$

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

$f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}$

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers.
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)

4 0

3 years ago

Read 2 more answers

Write 7x^2 -4 + 6x^3 -4x -x^4 in standard form

Nata [24]

-x⁴+ 6x³- 7x²- 4x - 4

Order from least to greatest exponent (the variable, which is x in this case, is always first by the way in terms of order, then integers). This point of this problem is essentially to just rearrange the original equation.

3 0

2 years ago

What is the answer? ???????

galina1969 [7]

Cross multiply:

30n = 2400. Then n = 80.

8 0

2 years ago

The fixed cost of making clothes for a clothing store for three years is $40,000. The number of pieces of clothing bought per ye

tamaranim1 [39]

Scenario B - 143 (Year 1), 109 (Year 2), 141 (Year 3)

In this scenario, the total income is 35,370. This is calculated by getting the sum of the number of garments in the span of three years and multiplying it by the rate of $90 per garment. Your income of 35,370 is lesser than your fixed cost for three years of 40,000.

6 0

3 years ago

What is the name of the longest chord in a circle ?

julsineya [31]

The name of the longest chord in a circle is called a diameter

5 0

3 years ago