Here is what you tally chart/table would look like:
Weight Tallies
1/4 lll
2/4 ll
3/4 lll
4/4 l
Here is what your line plot would look like:
X X
X X X
<u>X X X X
</u><u />1/4 2/4 3/4 4/4
Answer: Your Answer Is 1/5 OR 0.2 (BOTH ARE CORRECT) (:
Step-by-step explanation:
(1/3) (3/5) =
1 3 / 3 5 =
3/15 =
1/5 OR 0.2 Hope I Helped!!! (:
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Answer:
300ml
Step-by-step explanation:
As values are missing in your question, the complete question is:
In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. She uses 400 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 12% alcohol solution?
Considering x=ml of 20% solution B
Therefore, 400+x=ml of resulting 12% solution
Solution A alcohol+ solution B alcohol= Alcohol solution
6% (400)+ 20%x = 12%(400+x) ->(converting percentage into decimal)
.06*400+.2x=.12(400+x)
24+.2x=48+.12x
.08x=24
x=24/.08=300 ml
she used 300 milliliters of 20%Solution B in resulting mixture.
Answer:
Statement: ∠XYZ = ∠ABC Reasons: Below
Step-by-step explanation:
For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.
