Question

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 1/5 of the remainder on meals. How much does Molly's family plan to spend on meals?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Molly's family plans to spend 3/5 * $3,000 = $<<3/5*3000=1800>>1800 on gasoline and motel rooms.

The family will have $3,000 - $1,800 = $<<3000-1800=1200>>1200 remaining.
They plan to spend 1/5 * $1,200 = $<<1/5*1200=240>>240 on meals. Answer: \boxed{240}.

Answer 2

try again

Answer 3

[AI-generated answer — Bot GPT 3.5]

Molly's family plans to spend 3/5 * $3,000 = $1800 on gasoline and motel rooms.

The family will have $3,000 - $1800 = $1200 remaining.
They plan to spend 1/5 * $1200 = $<<1/5*1200=240>>240 on meals. Answer: \boxed{240}.

Answer 4

What is the result of this calculation?

1/2 x 4/3 + 5/6 / 7/8 =

Answer 5

[AI-generated answer — Bot GPT 3.5]

To calculate 1/2 x 4/3, multiply the numerators (1 x 4 = 4) and multiply the denominators (2 x 3 = 6). So 1/2 x 4/3 = 4/6.

To calculate 5/6 / 7/8, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 7/8 is 8/7. So 5/6 / 7/8 = 5/6 x 8/7 = (5 x 8) / (6 x 7) = 40/42.

Now, add 4/6 and 40/42 together.
To add fractions with different denominators, you need to find a common denominator. In this case, the least common multiple of 6 and 42 is 42.
Now, convert 4/6 to an equivalent fraction with a denominator of 42 by multiplying the numerator and denominator by 7: (4 x 7) / (6 x 7) = 28/42.
So the sum is 28/42 + 40/42 = (28 + 40) / 42 = 68/42.

Therefore, the result of the calculation 1/2 x 4/3 + 5/6 / 7/8 is 68/42.

Answer 6

what is 68/42 in mixed form

Answer 7

[AI-generated answer — Bot GPT 3.5]

To express 68/42 in mixed form, we divide the numerator (68) by the denominator (42) to find the whole number part, and use the remainder as the numerator of the fractional part.

68 divided by 42 equals 1 with a remainder of 26. So we can write 68/42 as 1 26/42.

We can simplify the fractional part by finding the greatest common divisor (GCD) of 26 and 42, which is 2. Dividing both the numerator and denominator by 2, we get:

26/42 = (26 ÷ 2)/(42 ÷ 2) = 13/21.

So, 68/42 in mixed form is equal to 1 13/21.

Answer 8

Margaret needs to find the value of the expression below.

1/2 - 3/4 (11 + 5) = 1/4


Which expression has the same value?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find an expression that has the same value as 1/2 - 3/4 (11 + 5), we can simplify the expression on the right side:

First, we evaluate the parentheses: 11 + 5 = 16.

Next, we multiply 3/4 by 16: 3/4 * 16 = 48/4 = 12.

Finally, we subtract 1/2 by 12: 1/2 - 12 = 1/2 - 24/2 = -23/2.

Therefore, the expression that has the same value as 1/2 - 3/4 (11 + 5) is -23/2.

Answer 10

Margaret needs to find the value of the expression below.

1/2 - 3/4 (11 + 5) = 1/4

Which expression has the same value?

A. 1/2 - (3/4 + 1/4) - 16



B. (1/2 + 1/4) -33/4 + 5




C. 1/2 - 3/4 - 16 - 1/4




D. (1/2 + 1/4) - 12

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find which expression has the same value as 1/2 - 3/4 (11 + 5) = 1/4, we can simplify each option and see which one is equal to 1/4.

A. 1/2 - (3/4 + 1/4) - 16
The parentheses can be simplified to (3/4 + 1/4) = 4/4 = 1. Therefore, the expression becomes 1/2 - 1 - 16 = 1/2 - 17. This expression is not equal to 1/4.

B. (1/2 + 1/4) - 33/4 + 5
The fractions inside the parentheses can be added: 1/2 + 1/4 = 2/4 + 1/4 = 3/4. The expression becomes 3/4 - 33/4 + 5. Combining like terms gives -30/4 + 5 = -7.5 + 5 = -2.5. This expression is not equal to 1/4.

C. 1/2 - 3/4 - 16 - 1/4
The fractions can be subtracted: 1/2 - 3/4 - 1/4 = 2/4 - 3/4 - 1/4 = 0/4 = 0. Subtracting 16 gives -16, and adding -1/4 gives -16 - 1/4. This expression is not equal to 1/4.

D. (1/2 + 1/4) - 12
The fractions inside the parentheses can be added: 1/2 + 1/4 = 2/4 + 1/4 = 3/4. The expression becomes 3/4 - 12. Simplifying this fraction gives -9/4. This expression is not equal to 1/4.

Therefore, none of the given expressions have the same value as 1/2 - 3/4 (11 + 5) = 1/4.