Drag a statement or reason to each box to complete this proof. If 3x−4=14, then x=6.
1 answer:
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Convert all fractions to have the same denominator.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.
<u>Answer: </u>
Option (c)
The average speed between 2.8 km and 4.2 km is 42 km/h
<u>Explanation:</u>
Given, the distance between 2.8 km and 4.2 km is 4.2 - 2.8 = 1.4 km
Time (in hours) between 2.8 km and 4.2 km
= 0.084 – 0.051
= 0.033 hr
Speed =
Speed =
Speed = 42.4 km/hr = 42 km/h (rounded to nearest)
Therefore, the average speed between 2.8 km and 4.2 km is 42 km/hr
Hence, Option (C) is correct
I'm not sure what you mean by difference, so I am guessing you meant to write "distance". If this is not the case, then feel free to report me. Anyway, to find the distance between two points you would use the distance formula.
Distance Formula: .
Let's substitute our point coordinates into the formula. We'll substitute -1 and 6 for x_2 and x_1, and 14 and 16 for y_2 and y_1. After substituting, your formula will now look like: .
Subtract the coordinates.
Square the subtracted coordinates.
Add 49 and 4.
Square root 53 and round the answer to the nearest tenth.
7.28 becomes 7.3.
7.3 units is the distance between points M and Z.