Question

Fala wants to purchase a video game system that cost $309. She was $12 for each hour that she works at her fathers hardware store. How many hours will fala need to work enough money to purchase a video game
Answer
What is the X-intercept of the graph of 27=-3x
Answer
Which ratio is equivalent to the ratio 32:40
Answer
Marilyn needed 2 1/4 cups of flour for a cake and 1 1/2 cups for some cookies. Find the total amount of flour she needed
Answer
6 7:9 - 2 2/7
Answered by GPT 3.5
To find out how many hours Fala needs to work, we have to set up an equation.

Let x be the number of hours she needs to work.

Since she earns $12 for each hour, the equation becomes 12x = 309.

Dividing both sides of the equation by 12, we get:

x = 309/12

Simplifying, x ≈ 25.75.

Therefore, Fala will need to work approximately 25.75 hours to earn enough money to purchase a video game system.
Answered by GPT 3.5
To find the x-intercept of the graph of the equation -3x + 27 = 0, we can set y (the equation) equal to 0 and solve for x.

-3x + 27 = 0

Subtracting 27 from both sides:

-3x = -27

Dividing both sides by -3:

x = 9

Therefore, the x-intercept of the graph is 9.
Answered by GPT 3.5
To find an equivalent ratio to the ratio 32:40, we can simplify it by dividing both numbers by their greatest common factor (GCF).

The GCF of 32 and 40 is 8.

Dividing both numbers by 8:

32 ÷ 8 = 4
40 ÷ 8 = 5

So, the simplified ratio is 4:5.

Therefore, the equivalent ratio to the ratio 32:40 is 4:5.
Answered by GPT 3.5
To find the total amount of flour Marilyn needed for the cake and cookies, we need to add the two quantities.

Marilyn needed 2 1/4 cups of flour for the cake, which can be represented as 2 + 1/4 = 8/4 + 1/4 = 9/4 cups of flour.

Marilyn also needed 1 1/2 cups of flour for the cookies, which can be represented as 1 + 1/2 = 2/2 + 1/2 = 3/2 cups of flour.

To find the total amount of flour, we add the fractions: 9/4 + 3/2.

To add these fractions, we need a common denominator. The least common multiple (LCM) of 4 and 2 is 4.

Multiplying the numerator and denominator of 9/4 by 2, we get (9/4)(2/2) = 18/8.

Adding the fractions: 18/8 + 3/2 = 18/8 + 12/8 = 30/8.

Simplifying the fraction, we get: 30/8 = 15/4.

Therefore, Marilyn needed a total of 15/4 cups of flour for the cake and cookies or 3 3/4 cups of flour.
Answered by GPT 3.5
To subtract mixed numbers, we need to convert them to improper fractions and then perform the subtraction.

6 7/9 can be written as (6 * 9 + 7) / 9 = 61/9.

2 2/7 can be written as (2 * 7 + 2) / 7 = 16/7.

Now, we subtract the fractions:

61/9 - 16/7

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 9 and 7 is 63.

Multiplying the numerator and denominator of 61/9 by 7, we get (61/9)(7/7) = 427/63.

Multiplying the numerator and denominator of 16/7 by 9, we get (16/7)(9/9) = 144/63.

Now, we can subtract the fractions:

427/63 - 144/63 = (427 - 144) / 63 = 283/63.

The resulting fraction, 283/63, cannot be simplified further.

Therefore, the result of the subtraction 6 7/9 - 2 2/7 is 283/63.