How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? DONT SIMPLIFY

Answer 1

To write the statement "4 is to 16 as 12 is to 48" in fractional notation, you can express it as a proportion:

\[ \frac{4}{16} = \frac{12}{48} \]

This represents the relationship between the two pairs of numbers without simplifying the fractions.

Answer 2

A company pays their employees $20 per hour. Using Fractional notation, write a proportion that represents how long an employee must work to make $80.
use x to represent the number of hours

Answer 3

To represent the situation where an employee makes $20 per hour and we want to find out how many hours (represented by \( x \)) they need to work to earn $80, we can set up the proportion in fractional notation as follows:

\[ \frac{20}{1} = \frac{80}{x} \]

This shows that the rate of pay (dollars per hour) is equal to the total earnings ($80) over the number of hours worked (\( x \)).

Answer 4

which is a proportion?
a: 7/8=20/22
b: 7/8=21/24

Answer 5

To determine which of the two options is a proportion, we can check if the cross products are equal for each pair of fractions.

Option A: \( \frac{7}{8} = \frac{20}{22} \)

Cross multiplying: \[ 7 \times 22 = 154 \quad \text{and} \quad 8 \times 20 = 160 \] Since \( 154 \neq 160 \), option A is not a proportion.

Option B: \( \frac{7}{8} = \frac{21}{24} \)

Cross multiplying: \[ 7 \times 24 = 168 \quad \text{and} \quad 8 \times 21 = 168 \] Since \( 168 = 168 \), option B is a proportion.

So, the answer is option B: \(\frac{7}{8} = \frac{21}{24}\).