Answer:
347
Step-by-step explanation:
2(3) + 210 = 216
2(3) + 125 = 131
216+131 = 347
Answer:
x = 61
Step-by-step explanation:
Left hand triangle containing 1 angle of 74
Label the other angle opposite the marked side also as 74
Find the third angle. Call it y.
y + 74 + 74 = 180 Combine like terms
y + 148 = 180 Subtract 148 from both sides.
y = 180 - 148
y = 32
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Now work with the triangle on the right.
label the angle making up the right angle = z
32 + z = 90 These two angles are complementary = 90
32 - 32 + z = 90 - 32 Subtract 32 from both sides
z = 58 Use 58 wherever you see z
x + x + z = 180 Substitute
2x + 58 = 180 Subtract 58 from both sides
2x = 122 Divide by 2
x = 61
Answer: 12x+36
Step-by-step explanation:
If you use distributive property, 12 x X is 12x and 12 x 3 is 36 so you get 12x+36
The solution to the problem about the possible values of x in the inequality is as follows:
4(x+15) >= 120
x+15 >= 30
<span>x >= 15
Therefore, there are </span><span>x >= 15 possibilities in the inequality.
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The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 = 
∵ 
÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴ ![S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}](https://tex.z-dn.net/?f=S_%7B8%7D%3D%5Cfrac%7B6%5B1-%28%5Cfrac%7B-5%7D%7B6%7D%29%5E%7B8%7D%5D%7D%7B1-%28%5Cfrac%7B-5%7D%7B6%7D%29%7D)
∴ 
- Round it to the nearest hundredth
∴ 
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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