Layla is making fruit salad. She uses 1 1/2 cups of oranges, 2/3 cups of apples, and 3/4 cups of grapes. How many cups of fruit does she use?(1 point)
3 1/9
3 7/12
2 1/9
2 11/12
To find the total amount of fruit Layla used, we need to add the amounts of each type of fruit together.
First, add the oranges and apples: 1 1/2 + 2/3.
To add these fractions, we need to find a common denominator: 6.
1 1/2 can be written as 3/2, and 2/3 can be written as 4/6.
Now add the fractions: 3/2 + 4/6 = 9/6 + 4/6 = 13/6.
Next, add the amount of grapes: 13/6 + 3/4.
To add these fractions, we need to find a common denominator: 12.
13/6 can be written as 26/12, and 3/4 can be written as 9/12.
Now add the fractions: 26/12 + 9/12 = 35/12.
Therefore, Layla used a total of 35/12 cups of fruit, which can be simplified to 2 11/12 cups.
The answer is 2 11/12.
Simplify the following expression:
(x+1)−(−2x−5)
(1 point)
Responses
3x−4
3 x minus 4
−x+6
negative x plus 6
−x−4
negative x minus 4
3x+6
To simplify the given expression (x+1)-(−2x−5), we can distribute the negative sign to the terms within the second set of parentheses:
(x+1) - (-2x-5) = (x+1) + (2x + 5)
Now we can combine like terms:
x + 1 + 2x + 5 = 3x + 6
Therefore, the simplified expression is 3x + 6.