The expression equivalent to the total distance Rhonda drove is 51x = 275
Given:
Distance 1:
Number of miles = 51 miles
Number of hours = 5 hours
Distance 2:
Number of miles = 55 miles
Number of hours = x hours
<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours
<em>Ratio of miles to number of hours</em> = 55 miles : x hours
Equate the ratios
51 : 5 = 55 : x
51/5 = 55/x
cross product
51 × x = 5 × 55
51x = 275
x = 275 / 51
x = 5.392156862745098
Approximately,
x = 5.4 hours
Therefore, the number of hours taken to travel 55 miles is 5.4 hours
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It is not correct.
The student found the volume by multiplying the base area with the height. He forgot to divide it by 3.
Formula to find the volume of the pyramid = 1/3 base area x height
volume = 1/3 x 92 x 54 = 1656 square meters
Answer:
Step-by-step explanation:
x-y=7
-3x+9y=-39
Divide the second equation by 3
-x +3y = -13
Add this to the first equation
x-y=7
-x +3y = -13
----------------------
0x +2y = -6
Divide by 2
2y/2 = -6/2
y = -3
Now find x
x-y = 7
x -(-3) = 7
x+3 = 7
Subtract 3 from each side
x = 4
(4,-3)
Or by substitution
x-y=7
solve for x
x = 7+y
-3x+9y=-39
Substitute y+7 in for x
-3(7+y) +9y = -39
Distribute
-21 -3y +9y = -39
Combine like terms
-21 +6y = -39
Add 21 to each side
6y = -18