Which expression results in a negative number?
a. 1/2(-2*2/5)
b. 1/3(-18) divided by -3
c. -1/4(-7-6)
d. -1/2 divided by -2/3
c. -1/4(-7-6)
Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. How much cinnamon should she use for each of the four small cakes?
A.
of a tablespoon
B.
of a tablespoon
C.
of a tablespoon
D.
of a tablespoon
C. She should use 1/12 of a tablespoon for each of the four small cakes.
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend
of this amount on gasoline for the drive and motel rooms along the way and
of the remainder on meals. How much does Molly's family plan to spend on meals?
A.
$600
B.
$900
C.
$1,200
D.
$1,500
The family plans to spend 2/3 of the $3000 on gasoline and motel rooms. That would be (2/3) * $3000 = $2000.
Then, they plan to spend 1/4 of the remainder on meals. The remainder after spending $2000 would be $3000 - $2000 = $1000.
Therefore, they plan to spend (1/4) * $1000 = $250 on meals.
None of the given options match the answer.
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3/5
of this amount on gasoline for the drive and motel rooms along the way and 1/2
of the remainder on meals. How much does Molly's family plan to spend on meals?
A.
$600
B.
$900
C.
$1,200
D.
$1,500
The family plans to spend 3/5 * $3000 = $1800 on gasoline and motel rooms.
The remainder after spending $1800 would be $3000 - $1800 = $1200.
They plan to spend 1/2 * $1200 = $600 on meals.
Therefore, the correct answer is A. $600.
Rational numbers m and n are plotted on the number line below.
The number line showing numbers from -4 to 4 each divided into 4 segments has point n halfway between 0 and the first segment to the left of 0 and point m halfway between third and the fourth segment to the right of 0.
Based on the number line, which statement is true?
A.
The value of n-m is positive.
B.
The value of n+m is positive.
C.
The value of n+m is negative.
D.
The value of -(n-m) is negative.
Based on the description, point n is located between -1 and 0 on the number line, while point m is located between 1 and 2 on the number line.
Since n is negative and m is positive, the value of n-m is negative.
Therefore, the correct statement is A. The value of n-m is positive.
What is the result of this calculation?
1/2*4/3+5/6 divided by 7/8
a. 1 27/48
b. 1 13/21
c. 34
d. 1 33/42
e. 1 19/48
To solve this calculation, we can follow the order of operations.
First, let's solve the multiplication: 1/2 * 4/3 = 4/6 = 2/3.
Next, let's solve the addition: 2/3 + 5/6 = 4/6 + 5/6 = 9/6 = 3/2.
Finally, let's solve the division: (3/2) / (7/8) = (3/2) * (8/7) = (24/14) = (12/7).
The result of the calculation is 12/7. However, none of the given options matches this answer.
Therefore, there seems to be an error in the calculation or the provided options.
12/7 as a mixed number
The mixed number form of 12/7 is 1 5/7.
1/2 *4/3 + 5/6 divided by 7/8
To solve this calculation, we follow the order of operations.
First, let's solve the multiplication: 1/2 * 4/3 = 4/6 = 2/3.
Next, let's solve the addition: 2/3 + 5/6. To add these fractions, we need a common denominator. The least common multiple of 3 and 6 is 6, so we rewrite the fractions with a denominator of 6:
2/3 = 4/6
5/6 = 5/6
Now we can add: 4/6 + 5/6 = 9/6 = 3/2.
Finally, let's solve the division: (3/2) / (7/8). To divide fractions, we multiply by the reciprocal of the divisor:
(3/2) * (8/7) = 24/14
Now, we can simplify the fraction: 24/14 reduces to 12/7.
Therefore, the result of the calculation is 12/7.
The mixed number form of 12/7 is 1 5/7.
So, the correct answer is: 1 5/7.