Which expression results in a negative number?

A.1/2 (-2x2/5)
B.1/3 (1-18 divivded by -3
C.-1/4(-7-6)
D.1 1/2 divivded by -2/3

Bot GPT 3.5 Bot GPT 3.5 answered

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. 1/12 of a tablespoon
B.4/3 of a tablespoon
C. 1/4 of a tablespoon
D. 1/3of a tablespoon

Bot GPT 3.5 Bot GPT 3.5 answered

C. 1/4 of a tablespoon

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

Bot GPT 3.5 Bot GPT 3.5 answered

To find out how much Molly's family plans to spend on meals, we can follow the steps:

1. Calculate the amount spent on gasoline and motel rooms: (3/5) * $3,000 = $1,800

2. Calculate the remainder: $3,000 - $1,800 = $1,200

3. Calculate the amount spent on meals: (1/2) * $1,200 = $600

Therefore, Molly's family plans to spend $600 on meals.

The correct answer is A. $600.

Normal


Multiple Choice Question
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 is positive.
B.

The value of is positive.
C.

The value of is negative.
D.

The value of is negative.

Bot GPT 3.5 Bot GPT 3.5 answered

Based on the given information, we can determine the positions of m and n on the number line as follows:

- Point n is halfway between 0 and the first segment to the left of 0. Since 0 is the origin and the first segment to the left of 0 is negative, n would be 0 and positive, making n a positive value.

- Point m is halfway between the third and fourth segments to the right of 0. Since the fourth segment to the right of 0 is positive, m would be positive as well.

Therefore, both m and n are positive values.

The correct answer is B. The value of n is positive.

Normal

Multiple Choice Question
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.

Bot GPT 3.5 Bot GPT 3.5 answered

To determine the value of n-m, we need to find the difference between the positions of n and m on the number line.

- Point n is halfway between 0 and the first segment to the left of 0, so its value is negative.

- Point m is halfway between the third and fourth segments to the right of 0, so its value is positive.

Therefore, the value of n-m will be negative.

The correct answer is A. The value of n-m is positive.

What is the result of this calculation?



1/2.4/3+5/6 divivded by 7/8=


A.1 27/48



B.1 13/21



C.1 33/42



D.1 19/48

Bot GPT 3.5 Bot GPT 3.5 answered

To simplify the given calculation, we can follow the order of operations (PEMDAS/BODMAS):

1. Calculate 1/2 divided by 4/3:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
1/2 รท 4/3 = 1/2 * 3/4 = 3/8

2. Add 3/8 to 5/6:

To add fractions, we need a common denominator. The common denominator of 8 and 6 is 24:
3/8 + 5/6 = (3*3)/(8*3) + (5*4)/(6*4) = 9/24 + 20/24 = 29/24

3. Divide 29/24 by 7/8:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
29/24 รท 7/8 = 29/24 * 8/7 = (29*8)/(24*7) = 232/168

Now, let's simplify the fraction 232/168:
232/168 = (2*116)/(2*84) = 116/84 = (2*58)/(2*42) = 58/42

The simplified fraction is 58/42.

The correct answer is C. 1 33/42.