Answer: 12 h ; 45 m
Step-by-step explanation:
*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.
What we know:
- Progress has been made to 4.75
- Rate of digging is 3/5 mph
- Depth must be at least 12 1/2
- We need to find the minimum amount of time the machine works
How to solve:
By setting up an algebraic equation, we can solve this.
Process:
- Set up equation 4.75 + 3/5x = 12 1/2
- Convert 19/4 + 3/5x = 12 1/2
95/20 + 12/20x = 250/20
12/20x= 155/20
- Isolate x via division /(12/20) /(12/20)
- +Simplify
x= 12 11/20
Solution: 12 ; 45
Answer:
Step-by-step explanation:
1. Parallelogram and rectangle
Sides: The opposite sides of both parallelogram and the rectangle are parallel and are equal.
Angles: Opposite angles of both parallelogram and rectangle are equal and adjacent angles of both parallelogram and rectangle are supplementary.
Relationship: Not all parallelograms are rectangle but all rectangles can be parallelograms.
2. Parallelogram and square:
Sides: Opposite sides of both the square and the parallelogram are parallel, but all sides are same in square but opposite sides are equal in parallelogram.
Angles: Opposite angles of both parallelogram and square are equal and adjacent angles of both parallelogram and square are supplementary.
Relationship: All squares are parallelograms but not all parallelograms are squares.
Answer: The third one is the correct answer.
Step-by-step explanation: If you do the count, you will see that the number of goats added five times is equal to the number of cows.
Answer:
21
Step-by-step explanation:
Volume of Rectangular Prism: LWH: Length * Width * Height
Volume of Rectangular Prism:
=> You can convert<u> mixed fractions into improper fractions</u> by the following steps so it's easier to solve the equation:
- Multiply the denominator of the mixed fraction by the whole number given on the left of the fraction.
- Add the number you get by the numerator of the fraction and, the answer you get will be your numerator for the improper fraction, keep the denominator similar to what it was in the mixed fraction.
=> would be as an improper fraction; would be as an improper fraction. Whereas 4 would remain the same since it's a whole number.
=> Now, multiple everything together: () * (4) * ()
<u>The answer would be 21!</u>
Hope this helps!