Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(1 point)
.
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)
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.
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.
To solve the expression (-4)×(7/5)×(-3/4)÷(7/15), we will use the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Multiply the numbers together to simplify the expression.
(-4) × (7/5) × (-3/4) ÷ (7/15)
Multiplying the numerators and denominators, we get:
= (-4 * 7 * -3) / (5 * 4 * 7/15)
Simplifying the numerator and denominator separately:
= (-84) / (20/15)
Step 2: Divide the numerator by the denominator.
= (-84) ÷ (20/15)
To divide by a fraction, we can multiply by its reciprocal.
= (-84) * (15/20)
Canceling out common factors:
= (-84) * (3/4)
= -252/4
Step 3: Simplify the fraction.
= -63
Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -63.
To solve the expression (−4)×(7/5)×(−3/4)÷(7/15) using the properties of operations and rules for multiplying and dividing signed numbers, follow these steps:
Step 1: Start with the multiplication from left to right.
Multiply −4 by 7/5:
−4 × (7/5) = (−4) * (7/5) = (-28/5)
Step 2: Continue with the remaining multiplication:
(-28/5) × (−3/4) = (-28/5) * (-3/4)
To multiply fractions, multiply the numerators together and the denominators together. In this case:
(-28/5) * (-3/4) = ((-28) * (-3)) / (5 * 4) = 84/20 = 21/5
Step 3: Move on to the division:
Next, you need to divide (21/5) by (7/15).
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case:
(21/5) ÷ (7/15) = (21/5) * (15/7)
Once again, multiply the numerators together and the denominators together:
(21/5) * (15/7) = (21 * 15) / (5 * 7) = 315/35 = 9
Step 4: Simplify the answer if necessary:
The final answer is 9.
So, (−4)×(7/5)×(−3/4)÷(7/15) equals 9.