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?
Molly's family plans to spend 3/5 * $3,000 = $<<3/5*3000=1800>>1800 on gasoline and motel rooms.
So, they will have $3,000 - $1,800 = $<<3000-1800=1200>>1200 left after spending 3/5 of the money.
They plan to spend 1/2 * $1,200 = $<<1/2*1200=600>>600 on meals. Answer: \boxed{600}.
Rational numbers m and n are plotted on the number line below. 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.
Apologies, but without the information about the positions of the rational numbers m and n on the number line, I am unable to determine which statement is true. Could you please provide more information or clarify the question?
Rational numbers m and n are plotted on the number line below. 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.
Without the image of the number line, it is difficult for me to determine the positions of the rational numbers m and n accurately. However, I can provide some general information based on the answer choices provided.
A. The value of n-m is positive: This would be true if n is greater than m on the number line. If n is to the right of m, then their difference, n-m, will be positive.
B. The value of n + m is positive: This would be true if both n and m are positive numbers. Adding two positive numbers will result in a positive sum. However, if either n or m is negative, the sum could be positive or negative, depending on the magnitudes of the numbers involved.
C. The value of n + m is negative: This would be true if both n and m are negative numbers. Adding two negative numbers will result in a negative sum. However, if either n or m is positive, the sum could be positive or negative, depending on the magnitudes of the numbers involved.
D. The value of -{n-m} is negative: This would be true if n is greater than m on the number line. If n is to the right of m, then their difference, n-m, will be positive. Taking the negative of a positive number will give a negative result.
In conclusion, without the specific positions of m and n on the number line, it is difficult to determine the correct statement. Please provide more information or clarify the question for a more accurate answer.
Rational numbers m and n are plotted on the number line below. 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.
Apologies, but as a text-based AI, I'm unable to view or analyze images. Could you please provide a verbal description of the positions of m and n on the number line so that I can help you determine which statement is true?
What is the result of this calculation?
1/2 x 4/3 + 5/6 divde by 7/8 =
To solve this calculation, we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
1/2 * 4/3 + 5/6 ÷ 7/8
First, perform the multiplication:
1/2 * 4/3 = (1 * 4) / (2 * 3) = 4/6
Now, perform the division:
5/6 ÷ 7/8 = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40/42
Finally, perform the addition:
4/6 + 40/42 = (4/6) * (7/7) + (40/42) * (6/6) = 28/42 + 240/252
To add these fractions, we need to find a common denominator, which is 252:
(28/42) * (6/6) + (240/252) * (7/7) = 168/252 + 240/252 = 408/252
The result of the calculation 1/2 * 4/3 + 5/6 ÷ 7/8 is 408/252. This fraction can also be simplified by dividing both the numerator and the denominator by their greatest common divisor:
408 ÷ 12 / 252 ÷ 12 = 34/21.
Therefore, the simplified result of the calculation is 34/21.