Answer with factoring: 2(3y+4)
Answer with simplifying: 6y+8
Answer:
Equations::
4c + 8t = 58
2c + 3t = 23
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Modify for elimination:
4c (4c*1) + 8t (8t*1)= 58
4c (2c*2) + 6t (3t*2)= 46
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Subtract and solve for "t":
2t (8t-6t) = 12
t = $6 (cost of one table)
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Solve for "c":
2c + 3t = 23
2c + 18 = 23
2c = 5
c = $2.50 (cost of one chair)
Answer:
Dividing two negative values results in a positive value. Reorder −10 - 10 and 5x2 5 x 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .
Step-by-step explanation:
Answer:
The motorist's average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Step-by-step explanation:
Let the motorist's average rate in the afternoon = <em>x</em> mph.
It is given that his average rate in the morning was twice his average rate in the afternoon.
Therefore, his average rate in the morning = 2<em>x</em> mph.
Let <em>t</em> be the time taken for the morning trip.
It is given that he spent 5 hours for driving.
So, the time taken by him for the afternoon trip = 5 - <em>t</em>.
Now, using the formumla,
,
the verbal model for the morning trip is:

<em>xt</em> = 75
The verbal model for the afternoon trip is:

5<em>x</em> - <em>xt</em> = 50
Substituting <em>xt</em> = 75, we get,
5<em>x</em> - 75 = 50
5<em>x</em> = 125
<em>x</em> = 25
2<em>x</em> = 50
Hence, his average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
<h3>
Answer: 13000 joules</h3>
This is equivalent to 13 kilojoules.
=======================================================
Work Shown:
m = 65 kg = mass
v = 20 m/s = velocity
KE = kinetic energy
KE = (1/2)*m*v^2
KE = (1/2)*65*(20)^2
KE = 13000 joules
This can be written as 13 kilojoules since "kilo" means "1 thousand"
The abbreviation of the unit "joules" is the letter J.