A total of 3 gal 1 qt of oil has been removed from a 37-gallon drum. How much oil still remains in the container?
Question 13 options:
A)
33 gal 7 qt
B)
34 gal 3 qt
C)
33 gal 3 qt
D)
34 gal 1 qt
To find out how much oil remains in the container, we can subtract the amount of oil that has been removed from the total capacity of the drum.
The total capacity of the drum is 37 gallons.
3 gallons and 1 quart can be written as 3 + 1/4 gallons.
To subtract this amount from the total capacity, we need to convert the amount to the same unit. Since there are 4 quarts in a gallon, we can convert the 1 quart to gallons by dividing it by 4.
1 quart / 4 = 1/4 gallon.
Now we can subtract the amount of oil removed from the total capacity:
37 gallons - (3 gallons + 1/4 gallon) = 33 gallons + 3/4 gallon.
Therefore, the answer is C) 33 gal 3 qt.
Solve the problem.
The Smith family is planning a 342-mile trip. If they travel at an average speed of 38 miles per hour, what will be their travel time? (Use d = rt)
Question 14 options:
A)
10 hr.
B)
9 hr.
C)
8 hr.
D)
11 hr.
To find the travel time, we can use the formula d = rt, where d is the distance, r is the speed, and t is the time.
In this case, the distance is 342 miles and the average speed is 38 miles per hour.
We can rearrange the formula to solve for t by dividing both sides by r:
t = d / r.
Substituting the given values, we get:
t = 342 miles / 38 miles per hour.
Dividing 342 by 38, we find:
t = 9 hours.
Therefore, the travel time for the Smith family will be B) 9 hr.
Solve the problem.
Jeans with an original price of $44 are on sale at 25% off. What is the sale price of the jeans? (Round to the nearest cent, if necessary.)
Question 15 options:
A)
$55.00
B)
$33.00
C)
$42.90
D)
$11.00
To find the sale price of the jeans, we can calculate the discount amount and subtract it from the original price.
The discount is 25% off, so we can calculate the discount amount by multiplying the original price by 25% (or 0.25):
Discount amount = $44 * 0.25 = $11.
To find the sale price, we subtract the discount amount from the original price:
Sale price = $44 - $11 = $33.
Therefore, the sale price of the jeans is B) $33.00.
Solve the problem.
Mara can type 40 words per minute. How many words would she type in (3/4) hour (45 minutes)?
Question 16 options:
A)
53 words
B)
1800 words
C)
1350 words
D)
30 words
To find how many words Mara would type in (3/4) hour (45 minutes), we can multiply her typing speed by the amount of time.
Mara can type 40 words per minute.
To convert 45 minutes to hours, we divide by 60:
45 minutes / 60 = 0.75 hours.
Now we can multiply her typing speed by the time:
40 words per minute * 0.75 hours = 30 words.
Therefore, Mara would type 30 words in (3/4) hour (45 minutes), so the answer is D) 30 words.
Solve the problem.
If a freight carrier charges 55 cents for a package up to one ounce and 39 cents for each additional ounce or fraction of an ounce, find the cost of shipping a package that weighs 168 grams.
Question 17 options:
A)
$2.50
B)
$2.89
C)
$2.73
D)
$3.69
To find the cost of shipping a package that weighs 168 grams, we need to convert the weight to ounces and calculate the cost based on the given pricing structure.
There are 28.35 grams in an ounce.
So, the weight of the package in ounces is:
168 grams / 28.35 grams per ounce = 5.92 ounces.
The pricing structure states that the carrier charges 55 cents for the first ounce, and 39 cents for each additional ounce or fraction of an ounce.
Since the package weighs 5.92 ounces, we need to calculate the cost of the first ounce (55 cents) and the cost of the additional 4.92 ounces (39 cents each).
Cost of the first ounce = 1 * 55 cents = 55 cents.
Cost of the additional 4.92 ounces = 4.92 * 39 cents = 192.28 cents.
Now we need to convert cents to dollars by dividing by 100:
Cost of the additional 4.92 ounces = 192.28 cents / 100 = $1.92.
Finally, we add the cost of the first ounce to the cost of the additional ounces:
Total cost = 55 cents + $1.92 = $2.47.
Therefore, the cost of shipping the package that weighs 168 grams is closest to option B) $2.89.
Solve the equation.
4m + 7 + 2(3m - 4) = 4(m + 4)
Question 18 options:
A: 5/2
B: 17/14
C: 31/6
D: 17/6