A ferry carries passengers a distance of miles across a river. The ferry made 25 trips across the river in one day. Which of the following is true?
A.
The ferry traveled total miles in one day.
B.
The ferry traveled total miles in one day.
C.
The ferry traveled total miles in one day.
D.
The ferry traveled total miles in one day.
C. The ferry traveled total miles in one day.
Which situation matches the expression?
A.
Tony takes 3/4 of an hour to mow his lawn. He has already spent 1/2 of an hour mowing. How much longer will Tony take to mow all of the lawn?
B.
Mrs. Carter has a package of butter that weighs 3/4 of a kilogram. She uses 1/2 of a kilogram of butter for baking. How much of the butter did Mrs. Carter use?
C.
Susan had 3/4 of a liter of orange juice in a carton. She poured 1/2 of it into a jar. How much of a liter did Susan pour into the jar?
D.
Chris bikes for 3/4 of an hour. He stops for a rest and then bikes for another 1/2 of an hour. How many hours did Chris bike in all?
C. Susan had 3/4 of a liter of orange juice in a carton. She poured 1/2 of it into a jar. How much of a liter did Susan pour into the jar?
USE PROPERTIES OF RATIONAL NUMBERS TO MULTIPLY THE FOLLOWING
-14/5 X (-51/69)
To multiply rational numbers, we multiply the numerators and denominators separately.
The given expression is:
(-14/5) * (-51/69)
Multiplying the numerators:
(-14) * (-51) = 714
Multiplying the denominators:
(5) * (69) = 345
Therefore, the result of the multiplication is:
(-14/5) * (-51/69) = 714/345
However, we can simplify this fraction further by finding the greatest common divisor (GCD) of 714 and 345, which is 3.
Dividing the numerator and denominator by 3:
714/3 = 238
345/3 = 115
So, the simplified form of the expression is:
(-14/5) * (-51/69) = 238/115
WHICH EXPRESSION REPRESENTS ANOTHER METHOD OF COMPUTING THE PRODUCT GIVEN BELOW??
-1.45 X 76
ANSWERS;
A. (-1) (-1.45 X 76)
B. (-1) (-1.45 - 76)
C. (-1) (-1.45 + 76)
D. (-1)((1 X 76) + (0.45 X 76))
D. (-1)((1 X 76) + (0.45 X 76))
WHICH EXPRESSION REPRESENTS ANOTHER METHOD OF COMPUTING THE PRODUCT GIVEN BELOW? -3/8 X 1 1/2
ANSWERS;
A. 1 + ( 1/2 x 3/8)
B. (-3/8 x 1) + ( -3/8 x 1/2)
C. (1 + 1/2) x 3/8
D. (-1)(1 - 1/2)(3/8)
B. (-3/8 x 1) + (-3/8 x 1/2)
A number is multiplied by 66. The result is a positive number less than 66.
Which of these was multiplied by 66?
A.
a number less than zero
B.
a number between zero and one
C.
zero
D.
a number greater than one
D. a number greater than one
Use properties of rational numbers to multiply the following.
2/9 x 18.72
A.
4.16
B.
84.24
C.
4.08
D.
2.08
To multiply a fraction by a decimal, we can simply multiply the numerator of the fraction by the decimal number and divide the product by the denominator of the fraction.
In this case, we have:
(2/9) x 18.72
Multiplying the numerator of the fraction by the decimal:
2 x 18.72 = 37.44
Dividing the product by the denominator of the fraction:
37.44 / 9 = 4.16
Therefore, the result of the multiplication is:
2/9 x 18.72 = 4.16
So, the answer is A. 4.16.
Use properties of rational numbers to multiply the following.
-9 × 801.9
A.
-7,229.1000000000
B.
-7,209
C.
-7,217.1
D.
-7,208.1
To multiply an integer by a decimal, we can simply multiply the absolute value of the integer by the decimal number and then apply the sign of the integer.
In this case, we have:
-9 × 801.9
Multiplying the absolute value of -9 by 801.9:
9 × 801.9 = 7217.1
Since the integer is negative, the result is negative as well:
-9 × 801.9 = -7217.1
Therefore, the correct answer is C. -7,217.1
The altitude of an airplane is decreasing at a rate of 43 feet per second. What is the change in altitude of the airplane over a period of 16 seconds?
A.
-688 feet
B.
-59 feet
C.
688 feet
D.
59 feet
To find the change in altitude over a period of time, we can multiply the rate of change by the time period.
In this case, the rate of change is -43 feet per second (since the altitude is decreasing) and the time period is 16 seconds. So, we have:
Change in altitude = rate of change × time period
Change in altitude = -43 feet/second × 16 seconds
Change in altitude = -688 feet
Therefore, the change in altitude of the airplane over a period of 16 seconds is -688 feet.
So, the correct answer is A. -688 feet.