Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3/5

Question

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

Answer 1

First, we need to find how much money is left after spending 3/5 of $3,000 for gasoline and motel rooms.
3/5 of $3,000 is (3/5) * $3,000 = $1,800.
Subtracting $1,800 from $3,000 gives us $3,000 - $1,800 = $1,200 left.
Now, we need to find 1/2 of $1,200 for meals.
1/2 of $1,200 is (1/2) * $1,200 = $600.
Therefore, Molly's family plans to spend $600 on meals.
The answer is A. $600.

Answer 2

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+mis positive.
C.

The value of n+m is negative.
D.

The value of -(n-m) is negative.

Answer 3

From the given information, we can deduce that m is greater than 0 and n is less than 0.

Since m is halfway between the third and fourth segments to the right of 0, it is positive.

Since n is halfway between 0 and the first segment to the left of 0, it is negative.

To find the value of n-m, we subtract the two values. n-m = n - m < 0 - m = -m. Since m is positive, -m is negative.

Therefore, the value of n-m is negative.

The correct statement is D. The value of -(n-m) is negative.