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