Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Answer:
4 2/3
Step-by-step explanation:
4(2x -3) + 8(x - 4) = 2(2x + 6)
Distribute
8x -12 + 8x -32 = 4x +12
Combine like terms
16x - 44 = 4x+12
Subtract 4x from each side
16x-4x-44 =4x-4x+12
12x-44 = 12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14 / 3
Changing to a mixed number
x = 4 2/3
Common core math is a series of mathematical standards that a student is taught about in preparation for their academic endeavors in college. Applicable common core standards that could be used here is the PEMDAS rule and the Commutative Property
The PEMDAS rule stands for parenthesis, exponent, multiplication, division, addition and subtraction. When there are multiple operations involve, you use the PEMDAS rule to help you prioritize. But since the equation only involves addition, no need to use PEMDAS. You just have to know the Commutative Property of Addition. This property states that if a + b = c, then b+ a = c. In other words, the final answer would remain unchanged even if your rearrange the order of terms in addition. Applying the property, we solve the equation as it is: <span>34 + 0 + 18 + 26 = 78.</span>
