(- 6) x (- 7) =(1 point)
27 answers
42
8 x (- 4) =(1 point)
-32
(-15) ÷ 3 =(1 point)
-5
(-16) ÷ (- 8) =(1 point)
2
3/5 x 2/3
Simplify your answer if possible.(1 point)
Responses
6/15
5/15
2/5
Simplify your answer if possible.(1 point)
Responses
6/15
5/15
2/5
To solve the multiplication of fractions, we simply multiply the numerators together and the denominators together.
(3/5) * (2/3) = (3 * 2) / (5 * 3) = 6/15
Therefore, the simplified answer is 2/5.
(3/5) * (2/3) = (3 * 2) / (5 * 3) = 6/15
Therefore, the simplified answer is 2/5.
(- 4.5) x (0.3) =(1 point)
-1.35
7/8 ÷ (−1/3)
(1 point)
Responses
−3 3/7
−2 5/8
negative 2 and 5 eighths
−7/24
2 5/8
(1 point)
Responses
−3 3/7
−2 5/8
negative 2 and 5 eighths
−7/24
2 5/8
To divide fractions, we can multiply the dividend by the reciprocal of the divisor.
(7/8) ÷ (-1/3) = (7/8) * (-3/1) = (7 * -3) / (8 * 1) = -21/8
Therefore, the answer is -21/8 or -2 5/8.
(7/8) ÷ (-1/3) = (7/8) * (-3/1) = (7 * -3) / (8 * 1) = -21/8
Therefore, the answer is -21/8 or -2 5/8.
84.2 ÷
(− 0.4)
(1 point)
(− 0.4)
(1 point)
The division of 84.2 by -0.4 can be calculated as follows:
84.2 ÷ (-0.4) = -210.5
Therefore, the answer is -210.5.
84.2 ÷ (-0.4) = -210.5
Therefore, the answer is -210.5.
What is 2/5
written as a decimal?(1 point)
written as a decimal?(1 point)
To write 2/5 as a decimal, we divide the numerator (2) by the denominator (5):
2 ÷ 5 = 0.4
Therefore, 2/5 written as a decimal is 0.4.
2 ÷ 5 = 0.4
Therefore, 2/5 written as a decimal is 0.4.
Write 2 3/4
as a decimal.(1 point)
Responses
2.34
2.34
0.234
0.234
2.75
2.75
2.43
as a decimal.(1 point)
Responses
2.34
2.34
0.234
0.234
2.75
2.75
2.43
To write 2 3/4 as a decimal, we first convert the mixed number to an improper fraction.
2 3/4 = (2 * 4 + 3) / 4 = 11/4
Then, we divide the numerator (11) by the denominator (4):
11 ÷ 4 = 2.75
Therefore, 2 3/4 written as a decimal is 2.75.
2 3/4 = (2 * 4 + 3) / 4 = 11/4
Then, we divide the numerator (11) by the denominator (4):
11 ÷ 4 = 2.75
Therefore, 2 3/4 written as a decimal is 2.75.
Write 0.35 as a fraction in simplest form.(1 point)
Responses
3/5
35/100
7/20
Responses
3/5
35/100
7/20
To write 0.35 as a fraction in simplest form, we need to determine the place value of the decimal. Since there are two decimal places, we can write 0.35 as 35/100.
However, we can simplify this fraction by dividing both the numerator and denominator by the greatest common divisor. In this case, the greatest common divisor of 35 and 100 is 5.
So, by dividing both numerator and denominator by 5, we get:
35/100 = 7/20
Therefore, 0.35 written as a fraction in simplest form is 7/20.
However, we can simplify this fraction by dividing both the numerator and denominator by the greatest common divisor. In this case, the greatest common divisor of 35 and 100 is 5.
So, by dividing both numerator and denominator by 5, we get:
35/100 = 7/20
Therefore, 0.35 written as a fraction in simplest form is 7/20.
Write 0.4 as a fraction in simplest form.(1 point)
To write 0.4 as a fraction in simplest form, we write the decimal without the decimal point as the numerator and 1 as the denominator.
0.4 = 4/10
Then, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
4/10 = (4 ÷ 2) / (10 ÷ 2) = 2/5
Therefore, 0.4 written as a fraction in simplest form is 2/5.
0.4 = 4/10
Then, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
4/10 = (4 ÷ 2) / (10 ÷ 2) = 2/5
Therefore, 0.4 written as a fraction in simplest form is 2/5.
A fire engine's water hose holds 750 gallons of water. If the pump removes 250 gallons in 5 minutes, what is the change in the amount of water in gallons each minute?(1 point)
Responses
-50
-50
-15
-15
15
15
50
Responses
-50
-50
-15
-15
15
15
50
To find the change in the amount of water in gallons each minute, we divide the total change in gallons by the total time in minutes.
Total change in gallons = 250 gallons
Total time in minutes = 5 minutes
Change in the amount of water per minute = Total change in gallons / Total time in minutes
= 250 gallons / 5 minutes
= 50 gallons per minute
Therefore, the change in the amount of water in gallons each minute is 50.
Total change in gallons = 250 gallons
Total time in minutes = 5 minutes
Change in the amount of water per minute = Total change in gallons / Total time in minutes
= 250 gallons / 5 minutes
= 50 gallons per minute
Therefore, the change in the amount of water in gallons each minute is 50.
A pilot is descending (going down). It takes him 4 minutes to go down 3,000 feet. What is the pilot's rate of change per minute? Remember the plane is going down so make sure your answer reflects that. You will receive one point for the correct rate and one point for the correct sign on your answer.(2 points)
To calculate the pilot's rate of change per minute, we divide the change in distance by the change in time.
Change in distance = -3,000 feet (since the plane is descending)
Change in time = 4 minutes
Rate of change per minute = Change in distance / Change in time
= -3,000 feet / 4 minutes
Therefore, the pilot's rate of change per minute is -750 feet per minute. Note that the negative sign indicates that the plane is descending, as mentioned in the question.
Change in distance = -3,000 feet (since the plane is descending)
Change in time = 4 minutes
Rate of change per minute = Change in distance / Change in time
= -3,000 feet / 4 minutes
Therefore, the pilot's rate of change per minute is -750 feet per minute. Note that the negative sign indicates that the plane is descending, as mentioned in the question.
1 answer