Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
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Answer:
25% of 30% of 400 = 30
33% decrease in value
Step-by-step explanation:
You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.
Method 1:
30% of 400 = 0.3 of 400 = 0.3 * 400 = 120
25% of 120 = .25 of 120 = .25 * 120 = 30
Method 2:
30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400
7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30
5.) To find the percentage of the new price, you can build the equation below.
![\frac{new price}{original price} = \frac{percent}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bnew%20price%7D%7Boriginal%20price%7D%20%3D%20%5Cfrac%7Bpercent%7D%7B100%7D)
![\frac{200,000}{300,000} = \frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B200%2C000%7D%7B300%2C000%7D%20%20%3D%20%5Cfrac%7Bx%7D%7B100%7D)
![20,000,000 = 300,000x](https://tex.z-dn.net/?f=20%2C000%2C000%20%3D%20300%2C000x)
![x = 66.667](https://tex.z-dn.net/?f=x%20%3D%2066.667)
The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
Answer:
Segment BF = 16 is true.
Step-by-step explanation:
Since, DE is parallel to BC, so DE will divide AB and AC proportionally.
Hence,
![\frac{AE}{EC} = \frac{AD}{DB}](https://tex.z-dn.net/?f=%5Cfrac%7BAE%7D%7BEC%7D%20%20%3D%20%5Cfrac%7BAD%7D%7BDB%7D)
⇒
{Since, given that AE = 12, EC = 18 and AD = 6}
⇒ BD = 9.
Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.
Hence, ![\frac{CE}{AE} = \frac{FC}{BF}](https://tex.z-dn.net/?f=%5Cfrac%7BCE%7D%7BAE%7D%20%20%3D%20%5Cfrac%7BFC%7D%7BBF%7D)
⇒
{Since, given that AE = 12, EC = 18 and FC= 24}
⇒ BF = 16.
Therefore, segment BF = 16 is true. (Answer)
Answer:
ohhhh we have the same question
Step-by-step explanation: