To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), we can follow the order of operations (PEMDAS).
First, we will multiply the numbers together from left to right.
(-4)×(7/5) = -28/5
Next, we will multiply -28/5 by -3/4.
(-28/5)×(-3/4) = 84/20
Now, we will divide 84/20 by 7/15.
(84/20)÷(7/15)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(84/20)×(15/7) = (84×15)/(20×7) = 1260/140 = 63/7 = 9
Therefore, (-4)×(7/5)×(-3/4)÷(7/15) simplifies to 9.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
.
5 answers
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
Answers:
−9
negative 9
9
9
147/75
Start Fraction 147 over 75 End Fraction
−147/75
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
Answers:
−9
negative 9
9
9
147/75
Start Fraction 147 over 75 End Fraction
−147/75
To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), we can follow the order of operations (PEMDAS).
First, we will multiply the numbers together from left to right.
(-4)×(7/5) = -28/5
Next, we will multiply -28/5 by -3/4.
(-28/5)×(-3/4) = 84/20
Now, we will divide 84/20 by 7/15.
(84/20)÷(7/15)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(84/20)×(15/7) = (84×15)/(20×7) = 1260/140 = 9
Therefore, (-4)×(7/5)×(-3/4)÷(7/15) simplifies to 9.
First, we will multiply the numbers together from left to right.
(-4)×(7/5) = -28/5
Next, we will multiply -28/5 by -3/4.
(-28/5)×(-3/4) = 84/20
Now, we will divide 84/20 by 7/15.
(84/20)÷(7/15)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(84/20)×(15/7) = (84×15)/(20×7) = 1260/140 = 9
Therefore, (-4)×(7/5)×(-3/4)÷(7/15) simplifies to 9.
Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means.(4 points)
To find out how long it will take for the fish to reach a depth of -37.8 meters, we can set up an equation.
Starting from -10.8 meters, the fish descends 1.5 meters every 2 minutes. We can represent this as:
-10.8 + (-1.5 × t) = -37.8
Where t represents the number of minutes it takes for the fish to reach the desired depth.
To solve for t, we need to isolate it on one side of the equation. First, add 10.8 to both sides:
-10.8 + 10.8 + (-1.5 × t) = -37.8 + 10.8
Simplifying, we have:
-1.5 × t = -27
Now, divide both sides of the equation by -1.5 to solve for t:
t = -27 / -1.5
t = 18
Therefore, it will take the fish 18 minutes to reach a depth of -37.8 meters.
This means that after 18 minutes of descent, the fish will be swimming at a depth of -37.8 meters, or 37.8 meters below sea level.
Starting from -10.8 meters, the fish descends 1.5 meters every 2 minutes. We can represent this as:
-10.8 + (-1.5 × t) = -37.8
Where t represents the number of minutes it takes for the fish to reach the desired depth.
To solve for t, we need to isolate it on one side of the equation. First, add 10.8 to both sides:
-10.8 + 10.8 + (-1.5 × t) = -37.8 + 10.8
Simplifying, we have:
-1.5 × t = -27
Now, divide both sides of the equation by -1.5 to solve for t:
t = -27 / -1.5
t = 18
Therefore, it will take the fish 18 minutes to reach a depth of -37.8 meters.
This means that after 18 minutes of descent, the fish will be swimming at a depth of -37.8 meters, or 37.8 meters below sea level.
1 answer