Question

Jeremy buys a value pack of cheese crackers that contains 42 1/2

ounces of crackers. He divides this into servings of 1 1/4

ounces each. What is the total number of servings Jeremy can make from the value pack?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the number of servings Jeremy can make, he needs to divide the total amount of crackers by the amount per serving.

To divide 42 1/2 ounces by 1 1/4 ounces, we can first convert 42 1/2 to a fraction. To do this, we multiply the whole number (42) by the fraction (2/2), then add the fraction part (1/2).

42 * 2/2 + 1/2 = 84/2 + 1/2 = 85/2.

Now we can divide 85/2 by 5/4.

(85/2) / (5/4) = (85/2) * (4/5) = 340/10 = 34.

Therefore, Jeremy can make 34 servings from the value pack.

Answer 2

A hot air balloon leaves the ground and rises to an elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over a school. What is the elevation of the balloon when it passes over the school?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the elevation of the balloon when it passes over the school, we need to calculate the net change in elevation.

The balloon initially rises to 1,100 feet.

Then, it descends 500 feet, so the elevation becomes 1,100 - 500 = 600 feet.

Next, it rises 950 feet, so the elevation becomes 600 + 950 = 1,550 feet.

Finally, it descends 375 feet, so the elevation becomes 1,550 - 375 = 1,175 feet.

Therefore, the elevation of the balloon when it passes over the school is 1,175 feet.

Answer 4

Aaron works 3 1/2

hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?

Answer 5

[AI-generated answer — Bot GPT 3.5]

First, we need to calculate Aaron's current pay per hour.

Currently, Aaron is paid $7.25 per hour.

Next, we need to determine Aaron's current pay for each Saturday.

Aaron works 3 1/2 hours every Saturday.

To calculate Aaron's current pay for one Saturday, we multiply the number of hours (3 1/2) by the current pay per hour ($7.25).

(3 1/2) * ($7.25) = 3.5 * 7.25 = $25.375.

Now, we need to determine Aaron's pay for four weeks, assuming he works every Saturday during that period.

To calculate Aaron's pay for four weeks, we multiply the pay for one Saturday ($25.375) by the number of Saturdays in four weeks, which is 4.

($25.375) * (4) = $101.5.

Therefore, Aaron's current pay for four weeks is $101.5.

Since Aaron receives a $1.00 raise, his new pay per hour becomes $7.25 + $1.00 = $8.25.

To calculate Aaron's new pay for four weeks with the raise, we multiply the new pay per hour ($8.25) by the number of hours worked per Saturday (3 1/2), and then multiply by the number of Saturdays in four weeks (4).

($8.25) * (3.5) * (4) = $115.5.

Therefore, Aaron will be paid $115.5 in his next paycheck after the $1.00 raise.

Answer 6

What is the value of the expression 2/3 (-6+4)?

Answer 7

[AI-generated answer — Bot GPT 3.5]

To evaluate the expression 2/3 (-6+4), we begin by simplifying the inner parentheses first.

(-6+4) = -2

Now, we substitute this result back into the original expression:

2/3 (-2)

To calculate the product of 2/3 and -2, we multiply the numerators and denominators:

2 * -2 = -4
3

Therefore, the value of the expression 2/3 (-6+4) is -4/3.

Answer 8

Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned 1/3

of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find out how much Jason earned babysitting, we need to first determine how much money he earned in total. We know that 1/3 of the money was earned by mowing lawns, which means 2/3 of the money was earned by babysitting.

Let's represent the total earnings as x.

So, the amount earned by mowing lawns is 1/3 of x, which is (1/3)x.
And the amount earned by babysitting is 2/3 of x, which is (2/3)x.

The total cost of the skateboard and helmet is $45.50 + $18.25 = $63.75.

Since the total earnings are equal to the total cost, we can set up an equation:

(1/3)x + (2/3)x = $63.75

To solve for x, we can combine like terms:

(3/3)x = $63.75

Simplifying, we have:

x = $63.75

Now, we can calculate the amount earned by babysitting, which is 2/3 of the total earnings:

(2/3) * ($63.75) = $42.50

Therefore, Jason earned $42.50 babysitting.

Answer 10

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?

Answer 11

[AI-generated answer — Bot GPT 3.5]

If the original recipe called for one-third of a tablespoon of cinnamon for one large cake, and Jerri is making four small cakes instead, she will need to divide the amount of cinnamon by 4.

To find the amount of cinnamon for each small cake, we divide 1/3 by 4:

1/3 ÷ 4 = 1/3 × 1/4 = 1/12

Therefore, Jerri should use 1/12 of a tablespoon of cinnamon for each of the four small cakes.

Answer 12

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?

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find out how much Molly's family plans to spend on meals, we need to go step by step.

First, we need to find 3/5 of the $3,000 that they plan to spend on gasoline and motel rooms. We do this by multiplying $3,000 by 3/5:

($3,000) * (3/5) = $1,800.

So, Molly's family plans to spend $1,800 on gasoline and motel rooms.

Next, we need to find 1/2 of the remainder that they plan to spend on meals. The remainder is the amount left after spending on gasoline and motel rooms.

To find the remainder, we subtract $1,800 from the initial $3,000:

$3,000 - $1,800 = $1,200.

Now, we find 1/2 of this remainder:

($1,200) * (1/2) = $600.

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

Answer 14

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