Answer:
3 1/2 gallons of paint
Step-by-step explanation:
1 5/8 - 5/6 = x
Turn the mixed number into an improper fraction:
1 5/8 = 13/8 = x
13/8 - 5/6 = x
make the denominator the same:
13/8 * 3 = 104/24
5/6 * 4 = 20/24
Subtract:
104/24 - 20/24 = 84/24
Simplify:
84/24 divided by 6 = 14/4
14/4 divided by 2 = 7/2
Turn into a mixed number:
3 1/2
Hope this helps!!! ~Carley
Answer:
4 hours
Step-by-step explanation:
The general formula for distance, rate and time is:
d = rt, where distance is the product of rate multiplied by time
Given that one train is moving at a rate of 70 mph and one is moving at a rate of 62 mph in the opposite direction, the combined distance over time is equal to 528 miles. Using the variable 't' for time:
70t + 62t = 528
Combine like terms: 132t = 528
Divide both sides by 132: 132t/132 = 528/132 or t = 4 hours
Answer:
108 ft²
Step-by-step explanation:
For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.
Next, we have to find the other side of the polygon on the <em>right</em> so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.
Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.
Hopefully that's helpful! :)
2x^2+3. the 2x cancel out and the rest is combining like terms
