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
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.
What is the X-intercept of the graph of 27=-3x
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.
Which ratio is equivalent to the ratio 32:40
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.
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
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.
6 7:9 - 2 2/7
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.
To figure out how many hours Fala needs to work to earn enough money to purchase the video game system, we can divide the total cost of the video game system by the amount she earns per hour.
First, let's calculate the number of hours Fala needs to work:
Total cost of the video game system = $309
Amount Fala earns per hour = $12
Number of hours = Total cost of the video game system / Amount Fala earns per hour
Number of hours = $309 / $12
Calculating the division: 309 ÷ 12 = 25.75
Since Fala cannot work in fractional hours, we need to round up to the nearest whole number.
Therefore, Fala will need to work approximately 26 hours to earn enough money to purchase the video game system.