Let m = the amount books Rachel sold on Monday.
then t = the amount books Rachel sold on Tuesday.<span>
then w = </span><span>the amount books Rachel sold on Wednesday.
On Tuesday she sold twice as she did on Monday.
t = m * 2
On Wednesday she sold 6 fewer books than she did on Tuesday
w = t - 6
Now for the fun.
t = m * 2
w = t - 6
Substitute t for real value
w = m * 2 - 6
Now solve for m.
w - 6 = m * 2 <-- Transpose the 6
(w-6)/2 = m <-- Transpose the 2.
m = (w-2)/2 < The Law of Reflexive Property of Equality</span>
I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
Answer:
<em>(D). (3, 1) </em>
Step-by-step explanation:
y ≤ 3x - 4
<u><em>(A). (0, 4)</em></u>
4 ≤ 3(0) - 4
4 ≤ - 4 <u><em>(False statement)</em></u>
<u><em>(B). (-2, 0)</em></u>
0 ≤ 3(- 2) - 4
0 ≤ - 10 <u><em>(False statement) </em></u>
<u><em>(C). (0, 0)</em></u>
0 ≤ 3(0) - 4
0 ≤ - 4 <u><em>(False statement)</em></u>
<u><em>(D). (3, 1)</em></u>
1 ≤ 3(3) - 4
1 ≤ 5 <u><em>(True statement) </em></u>
It's a right triangle as it has the 90 degree corner and 3 different lengths