Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
The slope of the equation is 1/2
Answer:
<h2>0.035</h2>
Step-by-step explanation:
This problem is on probabilty since there are a number of entries to be selected from which are 85 entries, the chances of winning one of the prices if selected is
the number of entries you have/ total number of entries
given that the total entry is 85
and that you have one entry
Since there are three gift baskets you have three chances to win one.
hence there will be a total of three draws, and after each draw, there won't be a replacement of the previous winner (as the winners are three distinct persons).
Hence the probability of winning a draw for the gift basket is
=1st draw+2nd draw+3rd draw
= 1/85+1/84+1/83
= 0.0117+0.0119+0.012
= 0.035
Answer:
a) 6x² - 8x
b) 2x² + x - 15
c) 4x² - 25
d) 2x³ + 7x² - 3x
Step-by-step explanation:
a) 2x (3x - 4)
brackets means multiplication or into
base on the question
2x * 3x = 6x^2
and
2x * (-4) = -8x
therefore
6x² - 8x
is the answer
b) (x + 3) (2x - 5)
clear brackets with (x + 3)
i. x * (2x - 5) = 2x^2 - 5x
ii. +3 * (2x - 5) = 6x - 15
add i add ii
2x² - 5x + 6x - 15
if u noticed, there are similar figures 6x and 5x, so we take like term
2x² + x - 15 answer
c) (2x + 5) (2x - 5)
clear bracket
i. 2x * (2x - 5) = 4x² - 10x
ii. 5 * (2x - 5) = 10x - 25
add i and ii
4x² - 10x + 10x - 25
collect terms
4x² - 25 answer
d) x (2x + 1) (x - 3)
I) first we deal with x(2x+1)
x * (2x + 1) = (2x² + x)
II) then we find the multiplication of
(2x² + x) (x - 3)
i. 2x² * (x - 3) = 2x³ - 6x²
ii. x * (x - 3) = x² - 3x
add i and ii
2x³ - 6x² + x² - 3x
collect terms
2x³ - 5x² - 3x
