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
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.
To find out how much Molly's family plans to spend on meals, we need to follow these steps:
Step 1: Calculate the amount of money the family plans to spend on gasoline and motel rooms.
Given that the family plans to spend 3/5 of $3,000, we can calculate it as:
(3/5) * $3,000 = $1,800
Step 2: Calculate the remaining amount after spending on gasoline and motel rooms.
Since the family plans to spend 1/2 of the remainder on meals, we can calculate it as:
(1/2) * $1,800 = $900
Therefore, Molly's family plans to spend $900 on meals.
Hence, the answer is option B. $900.
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.
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.
To find out how much Molly's family plans to spend on meals, we need to follow these steps:
Step 1: Determine the amount set aside for the vacation.
The given information tells us that Molly's family has $3,000 set aside for the vacation.
Step 2: Calculate the amount to be spent on gasoline and motel rooms.
The family plans to spend 3/5 of the total amount on gasoline and motel rooms. So, we need to find 3/5 of $3,000.
3/5 * $3,000 = ($1,800)
Step 3: Calculate the remaining amount after spending on gasoline and motel rooms.
To find the remaining amount, we subtract the amount spent on gasoline and motel rooms from the total amount.
$3,000 - $1,800 = $1,200
Step 4: Calculate the amount to be spent on meals.
The family plans to spend 1/2 of the remaining amount on meals. So, we need to find 1/2 of $1,200.
1/2 * $1,200 = ($600)
Therefore, Molly's family plans to spend $600 on meals.
The answer is option A: $600.