Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
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<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
![x = y + 2](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%202)
Substitute y + 2 for x in
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Collect Like Terms
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Divide both sides by 6
![\frac{6y}{6} = \frac{90}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6y%7D%7B6%7D%20%3D%20%5Cfrac%7B90%7D%7B6%7D)
![y = \frac{90}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B90%7D%7B6%7D)
![y = 15](https://tex.z-dn.net/?f=y%20%3D%2015)
Substitute 15 for y in ![x = y + 2](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%202)
![x = 15 + 2](https://tex.z-dn.net/?f=x%20%3D%2015%20%2B%202)
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
<em>Hence; the two odd numbers are 15 and 17</em>
Answer:
Step-by-step explanation:
Write a list of all possible outcomes
1-2
1-3
1-4
2-1
2-3
2-4
3-1
3-2
3-4
4-1
4-2
4-3
There are 12 possible outcomes. How many of them have totals of 6 or 7
I count 4
So the probability is 4/12 = 1/3, just as you said.
Is there an easier way?
You might be able to get the 12 easier.
You have 4 choices for the first number and 3 for the second.
P(12) = 4*3 = 12
Getting 6 or 7 might be somewhat trickier.
4 and 3 make seven. That gives two ways 4-3 and 3-4
4 and 2 make six. That gives 2 more ways 4-2 and 2-4
That's all that's possible.
answer: 4 ways make success. The total number of ways is 12.
Answer:
Yes, lines M and N intersect because their slopes are different.
Step-by-step explanation:
First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)
Slope of Line M:
(3--11) / (3--4)
(3+11) / (3+4)
14/7
2
Now we know that the slope of Line M is 2.
Slope of Line N:
(9--2) / (-6-5)
11/-11
The slope of Line N is -1!
Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.
If the slopes were the same, Line N and M would NEVER intersect because they are parallel.
Hope this helps
Answer:
207.19 is the cost on sale
Step-by-step explanation:
If there is a discount of 30%, we still have to pay 100-30 = 70%
295.99 * 70%
295.99 * .70
207.193
Rounding to the nearest cent
207.19 is the cost on sale
Answer:
(5a+3b)(5a+3b) or SQ(5a+3b)
Step-by-step explanation:
Now you can plot by referring to the above factors