Answer:
k < - 1
Step-by-step explanation:
28 + 3k < 5(-3-8k)
28 + 3k < - 15 - 40k
28 + 15 < - 40k - 3k
43 < - 43k
43/- 43 > k (switch signs because 43 is negative)
k < -1
Answer:
Five pencils and two marches are worth greater than thirty paper clips.
Step-by-step explanation:
Let 'x' be paper clip.
Let 'y' be a match
and let 'z' be a pencil.
Now, let's write each statement as an equation:
Each paper clip can be traded for three matches:
x = 3y
Each pencil can be traded for six paper clips:
z = 6x
Now, five pencils equals 30 paper clips and two matches equals two thirds papel clips.
Therefore, we can say that Five pencils and two matches equals 30.66 matches. Therefore, five pencils and two marches are worth greater than thirty paper clips.
Answer: 19.625 cm (Formula is 2πr)
Steps: 1.) 3.14 * 12.5 = 39.25
2.) 39.25 * 2 = 78.5
3.) 78.5 / 4 = 19.625 (using the 4 because the area is a fourth of a whole circle)
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.
1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
-------------
x - 6
2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span> -----------
x - 6
And finally..
You come up with the answer of:
-3x + 2
I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.
Answer:
96 seconds
Step-by-step explanation:
In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.
1. Reciprocal of 
is 
which is 3
2. multiply 32 by 3 to get your answer, 96.
I hope this helped!
