Stephen is not allowed to watch more than 5 hours of television a week. He watched his favorite show on Monday which was 1 hour long and his favorite Tuesday show which was 1.5 hours long. How many more hours of television can he watch?
A) 2.5h=5; Stephen can watch 2 more hours this week.
B) h+1+1.5=5; Stephen can watch 2.5 more hours this week.
C) h+5=1+1.5; Stephen can watch 2.5 more hours this week.
D) h−1−1.5=5; Stephen can watch 7 more hours this week.
The correct answer is B) h+1+1.5=5; Stephen can watch 2.5 more hours this week.
Layla is making fruit salad. She uses 1 and 1 over 2 cups of oranges, 2 over 3 cups of apples, and 3 over 4 cups of grapes. How many cups of fruit does she use?
To find the total amount of fruit Layla uses, we need to add the amounts of oranges, apples, and grapes.
1 and 1/2 cups of oranges can be written as 1.5 cups.
2/3 cups of apples can be written as 0.67 cups (rounded to two decimal places).
3/4 cups of grapes can be written as 0.75 cups.
Adding these amounts, we have:
1.5 cups + 0.67 cups + 0.75 cups = 2.92 cups (rounded to two decimal places).
Therefore, Layla uses approximately 2.92 cups of fruit.
Oh no it has to be a fraction!
I apologize for the confusion. Let's calculate the total amount of fruit Layla uses using fractions.
1 and 1/2 cups can be written as 3/2 cups.
2/3 cups of apples remain the same.
3/4 cups of grapes remain the same.
Adding these amounts, we have:
3/2 cups + 2/3 cups + 3/4 cups
To add these fractions, we need to find a common denominator. The common denominator here is 12.
Converting the fractions to have a denominator of 12:
(3/2)*(6/6) = 18/12
(2/3)*(4/4) = 8/12
(3/4)*(3/3) = 9/12
Adding these fractions, we have:
18/12 + 8/12 + 9/12 = (18 + 8 + 9)/12 = 35/12
Therefore, Layla uses 35/12 cups of fruit.
Not quite! The options are
A) 3 and 1 over 9
B) 3 and 7 over 12
C) 2 and 1 over 9
D) 2 and 11 over 12
Apologies for the incorrect calculation. Let's calculate the total amount of fruit Layla uses correctly using fractions.
1 and 1/2 cups can be written as 3/2 cups.
2/3 cups of apples remain the same.
3/4 cups of grapes remain the same.
Adding these amounts, we have:
3/2 cups + 2/3 cups + 3/4 cups
To add these fractions, we need to find a common denominator. The common denominator here is 12.
Converting the fractions to have a denominator of 12:
(3/2)*(6/6) = 18/12
(2/3)*(4/4) = 8/12
(3/4)*(3/3) = 9/12
Adding these fractions, we have:
18/12 + 8/12 + 9/12 = (18 + 8 + 9)/12 = 35/12
Therefore, Layla uses 35/12 cups of fruit. Converting this into a mixed number, we have:
35/12 = 2 and 11/12
So the correct answer is D) 2 and 11/12.
Simplify the following expression:
( x + 1 ) − ( −2 x −5)
To simplify the expression ( x + 1 ) − ( −2 x −5), we can distribute the negative sign inside the parentheses:
( x + 1 ) - ( -2 x - 5) = x + 1 + 2 x + 5
Now, we can combine like terms:
x + 1 + 2 x + 5 = (x + 2x) + (1 + 5) = 3x + 6
Therefore, the simplified expression is 3x + 6