1.Charlie buys a bag of chips that contains 16 ¼ ounces of chips. He divides the bag of chips into servings of 1 ¼ ounces each. What is the total number of servings that Charlie can make from his chip bag?
To find the total number of servings, we need to divide the total number of chips by the number of chips per serving.
There are 16 ¼ ounces of chips in the bag.
Since there are 4 quarters in 1 whole, we can rewrite ¼ as 1/4.
So, we have 16 + 1/4 = 64/4 + 1/4 = 65/4 ounces of chips.
Each serving is 1 ¼ ounces.
Again, we can rewrite ¼ as 1/4.
So, each serving is 1 + 1/4 = 4/4 + 1/4 = 5/4 ounces.
To find the number of servings, we divide 65/4 by 5/4:
(65/4) / (5/4) = 65/4 * 4/5 = 65/5 = 13.
Therefore, Charlie can make 13 servings from his chip bag. Answer: \boxed{13}.
2.A plane takes off and rises to an elevation of 2500 feet. During the next hour, it rises another 1200 ft, drops 800 ft., and descends another 550 ft as it flies over the ocean. What is the elevation of the plane as it flies over the ocean?
The plane initially rises to an elevation of 2500 ft.
During the next hour, it rises another 1200 ft, so it is now at an elevation of 2500 ft + 1200 ft = 3700 ft.
Then, it drops 800 ft, bringing its elevation down to 3700 ft - 800 ft = 2900 ft.
Finally, it descends another 550 ft, so the elevation as it flies over the ocean is 2900 ft - 550 ft = <<2900-550=2350>>2350 ft.
Therefore, the elevation of the plane as it flies over the ocean is 2350 ft. Answer: \boxed{2350}.
3.Ella Grace works at her dance studio teaching classes. Throughout the week, she works 4 ½ hours at a rate of $12.35 per hour. She is paid every 2 weeks. If her boss gives her a $2 raise per hour, how much would she be paid in her next pay period?
Ella Grace works 4 ½ hours a week at a rate of $12.35 per hour. To find her current weekly pay, we multiply her hours worked by her hourly rate:
4 ½ hours * $12.35/hour = 4.5 * $12.35 = $55.575
Her boss gives her a $2 raise per hour, so her new hourly rate is:
$12.35/hour + $2/hour = $14.35/hour
To find her new weekly pay, we multiply her new hourly rate by her hours worked:
4 ½ hours * $14.35/hour = 4.5 * $14.35 = $64.575
Since Ella Grace is paid every 2 weeks, we multiply her weekly pay by the number of weeks in a pay period:
$64.575/pay * 2 weeks = $129.15
Therefore, Ella Grace would be paid $129.15 in her next pay period. Answer: \boxed{129.15}.
4.What is the value of the expression: ¾( -8 + -3)
To solve the expression, we first simplify the parentheses:
-8 + -3 = -11
Next, we multiply the result by 3/4:
-11 * 3/4 = -33/4
Therefore, the value of the expression is -33/4. Answer: \boxed{-\frac{33}{4}}.
5.Mrs. Harrell is buying a leash and a collar for her new puppy. The leash is $12.45 with tax and the collar is $21.30 with tax. She had ¼ of the money to pay with the purchase in cash and the rest, she is charging on her credit card. How much is she charging on her credit card? Round your final answer to the nearest 100ths place.
The total cost of the leash and collar is $12.45 + $21.30 = $33.75.
Mrs. Harrell paid 1/4 of the cost in cash, so 3/4 of the cost is being charged to her credit card.
To find the amount charged to her credit card, we calculate:
(3/4) * $33.75 = $25.3125
Rounding to the nearest hundredths place, Mrs. Harrell is charging $25.31 on her credit card. Answer: \boxed{25.31}.