use the properties of operations and rules or multiplying and dividing signed numbers to solve: (-4) x (7/5) x (-3/4) divided by (7/15)
use the properties of operations and rules or multiplying and dividing signed numbers to solve: (-4) x (7/5) x (-3/4) divided by (7/15)
147/75
-147/75
9
-9
To solve this problem, we can follow the order of operations and apply the rules of multiplying and dividing signed numbers.
First, let's simplify the expression:
(-4) x (7/5) x (-3/4) ÷ (7/15)
Multiplying the integers first:
-4 x -3 = 12
Multiplying the fractions:
(7/5) x (7/4) = 49/20
Now let's divide:
12 ÷ (49/20)
To divide by a fraction, we multiply by its reciprocal:
12 x (20/49) = 240/49
Therefore, (-4) x (7/5) x (-3/4) ÷ (7/15) simplifies to 240/49, which is approximately 4.898.
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 or 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 solve this word problem, we can set up an equation to determine how many times the fish descends 1.5 meters before reaching a depth of -37.8 meters.
Let the number of descents be represented by "n".
We know that every 2 minutes the fish descends 1.5 meters. So, the equation would be:
-10.8 - 1.5n = -37.8
To solve for "n", we need to isolate the variable by rearranging the equation:
-1.5n = -37.8 + 10.8
-1.5n = -27
Now, we can solve for "n" by dividing both sides of the equation by -1.5:
n = (-27) / (-1.5)
n = 18
Therefore, it will take the fish 18 descents, or 36 minutes (since it descends every 2 minutes) to reach a depth of -37.8 meters.
In conclusion, it will take the fish 36 minutes to reach a depth of -37.8 meters.
To solve the expression:
Step 1: Begin by multiplying the numbers from left to right:
(-4) x (7/5) x (-3/4) = (-28/5) x (-3/4)
Step 2: Calculate the multiplication. Multiplying two negative numbers gives a positive result:
(-28/5) x (-3/4) = 84/20
Step 3: Simplify the fraction if possible. In this case, both the numerator and denominator can be divided evenly by 4:
84/20 = 21/5
Step 4: Divide the result by (7/15). Remember that dividing by a fraction is equivalent to multiplying by its reciprocal:
(21/5) divided by (7/15) = (21/5) x (15/7)
Step 5: Multiply the fractions:
(21/5) x (15/7) = (21 x 15) / (5 x 7)
Step 6: Simplify the fraction if possible:
(21 x 15) / (5 x 7) = 315/35
Step 7: Reduce the fraction if possible. Both the numerator and denominator can be divided evenly by 35:
315/35 = 9
Therefore, the solution to the expression (-4) x (7/5) x (-3/4) divided by (7/15) is 9.
To solve the expression (-4) x (7/5) x (-3/4) divided by (7/15), we will use the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Multiply the numbers from left to right, ignoring the signs temporarily:
(-4) x (7/5) x (-3/4) = (4/1) x (7/5) x (3/4)
Step 2: Simplify each fraction:
(4/1) x (7/5) x (3/4) = (4 x 7 x 3) / (1 x 5 x 4) = 84/20
Step 3: Divide the resulting fraction by (7/15):
(84/20) divided by (7/15)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(84/20) x (15/7)
Step 4: Simplify each fraction:
(84/20) x (15/7) = (6 x 14) / (1 x 1) = 84/7
Step 5: Simplify the resulting fraction:
84/7 = 12
Therefore, the solution to the expression (-4) x (7/5) x (-3/4) divided by (7/15) is 12.
To solve this problem, we can follow the order of operations and apply the rules of multiplying and dividing signed numbers.
First, let's simplify the expression:
(-4) x (7/5) x (-3/4) ÷ (7/15)
Multiplying the integers first:
-4 x -3 = 12
Multiplying the fractions:
(7/5) x (7/4) = (49/20)
Now let's divide:
12 ÷ (49/20)
To divide by a fraction, we multiply by its reciprocal:
12 x (20/49)
Multiplying the integers:
12 x 20 = 240
Multiplying the fractions:
240/49
Therefore, (-4) x (7/5) x (-3/4) ÷ (7/15) simplifies to 240/49.