The absolute value for 2x+3=11 is x=4
Answer:
If the scale factor is increased in 2.5, the increased width will be:
Step-by-step explanation:
Remember that an oblong is longer than it is wide, by this reason, the ratio of 4:3 could mean, if we give a number, by each 4 cm in the length, there is 3 cm in the width, in this form, if the oblong has a length of 12 cm, the width is:
So:
Then, the original width is 9 cm, as the scale factor must be increased 2.5, we can multiply the found width to obtain the increased width:
- Increased width = 9 cm * 2.5
- <u>Increased width = 22.5 cm</u>
As you can see, <u><em>the increased widt will be 22.5 cm</em></u>.
Answer:
Step-by-step explanation:
1) First, we figure out the number of blue and green marbles (27 each)
2) Subtract the 6 blue and 3 green marbles. We now have 21 blue marbles and 24 green marbles.
3) Since we want to have more blue marbles while taking out the <em>minimum</em> number of green, we're going to take out green marbles out until there's one less than blue. Because there's 21 blue, we want 20 green. We've taken out 4/13 marbles so far.
4) Now, we're going to take 1 marble out of both the greens and blues until we have 17 blue and 16 green. We've now taken out 12/13 marbles. We can't make the 13th marble a blue one, otherwise we even them out, so we'll take another green. Now we have 17 blue and 15 green.
5) Count the number of greens you've taken out, and voila!
Answer:
See below.
Step-by-step explanation:
Helen made a mistake in the last step.
2^(4/3) / e = (∛(2^4) / e = ∛(16) / e .
It is the cube root of 2^4 not the 4th root of 2^3.
Stephen made a mistake in the first step.
He replaced ln2 by 2 which is evidently wrong (e^ln2 = 2 NOT ln 2).
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